evaluation of adhesively bonded steel sheets using
TRANSCRIPT
Evaluation of Adhesively Bonded Steel Sheets Using Ultrasonic Techniques
by
Chrysostomos Kyriacou Tavrou
Thesis submitted to Swinburne University of Technology for the Degree of
Doctor of Philosophy
2005
Faculty of Engineering and Industrial Sciences Swinburne University of Technology
Melbourne, Australia
Abstract Adhesives have presently reached a stage where they have become part of everyday
life both in a professional sense as well as for household applications. They offer
advantages that in many respects surpass other joining processes such as bonding
of large areas, joining a wide range and dissimilar materials; and without the need for
special tooling or operator training, that is often required by many other joining
processes. They are of course not a panacea to all fastening applications, but they
can easily be described as the most versatile and most widely used joining method at
present.
Engineering applications have also benefited from the advantages offered by
adhesives, but they are not as liberally used due to the severe consequences that
may result from bond failure. Although adhesives can demonstrate their ability to
fulfil the joining strength requirements under laboratory conditions, their application in
industry proved to be not as reliable as expected. A number of parameters that can
easily be controlled under laboratory conditions such as temperature, humidity,
surface preparation and uniform adhesive application are not as easily observed in
industry. Quality assurance during manufacturing can achieve excellent results;
however even in these cases the probability of having adhesive bond defects is still
present. Therefore, there is a need for post process inspection of adhesive bonds
where risk levels require higher reliability than what is offered though process quality
control.
Adhesive bond inspection is a well researched area with respectable outcomes. Non
destructive inspection techniques such as x-ray, thermal, and ultrasonic are well
utilised in the inspection of adhesive bonds. However, despite all the effort in this
area for more than forty years, there is still no singular technique that can achieve the
confidence level required in some engineering applications. Therefore, the need for
continuing research in the area of non-destructive evaluation of adhesive bonds is as
necessary today as it’s ever been. The research presented in this thesis, continues
in the same endeavour as many other researchers; that of achieving the ultimate
technique in adhesive bond inspection, capable of reaching the confidence level
required for all engineering applications.
Abstract
The research in the thesis commenced with coverage of adhesives used for
engineering applications and a study of the adhesion science that was considered
necessary to enable an informed approach to the problem. Adhesive bond failure is
also analysed through a literature survey as well as experimental tests on standard
specimens. At the completion of the literature survey and preliminary tests, a
decision was taken to follow the ultrasonic path of non-destructive testing of adhesive
bonds. The reasons for this, are clearly outlined in the main body of this thesis but in
summary, the literature has shown that ultrasonic evaluation is the most widely used
technique by industry. Therefore, improvements on data analysis using existing
techniques that exploit ultrasonic inspection have the potential to reach the widest
spectrum of industrial applications.
Ultrasonic inspection equipment was sourced that was capable of achieving
experimental results to the accuracy level required in this research. A precision test
rig was designed and constructed that was subsequently calibrated using computer
based statistical techniques to ensure the validity of all results. Other ancillary
equipment, such as a portable tensile testing device were also designed and
constructed during the research as it became necessary.
Research concentrated on techniques found to be inadequately researched in this
domain. The first technique evaluated was to measure bond quality through the
stress distribution in adherent and adhesive. Computer based Finite Element
Analysis showed that the ability to detect variation in stress distribution at the
adhesion interface is capable of revealing the local bond strength. Having found that
there is no technique available at present that can measure the stress distribution at
the interface, a different direction was taken that showed potential in achieving
excellent quantitative results in the analysis of ultrasonic signals from adhesive
bonds. This technique was rigorously evaluated and the results are systematically
reported in this work.
Statement of original authorship
This thesis contains no material which has been accepted for the award to the
candidate of any other degree or diploma, except where due reference is made in the
text of the thesis.
This thesis, to the best of my knowledge, contains no material previously published
or written by another person except where due reference has been made in the text
of the thesis.
Signed: . . . . . . . . . . . . . . . . . . . . . . .
Acknowledgements Firstly I would like to sincerely thank my supervisor Dr Cameron Jones, for his advice
on scientific and project management issues as well as patience and encouragement
throughout this thesis. My thanks also extend to Professor Guoxing Lu who as my
second supervisor often offered his help and support where needed. Dr Igor Sparsky
and Professor Elias Siores, the proposer of this project, also played an instrumental
role in this research and I would like to sincerely thank them.
I would also like to extend my sincere thanks to Mr Andrew McCulloch of Hawker de
Havilland, Melbourne and Mr David Humphreys of HenkelOrbseal, Australia, who
have provided me with the industrial realisation of this thesis. Special thanks to Ms
Meredith Jewson, Swinburne University, for her assistance in building the
experimental test rig and other devices needed in this research.
Lastly, I would like to thank my wife Anna for her infinite support and encouragement
throughout this thesis as well as my children, Evis, Lyvia, Tricia, Kerry, Leonie and
Hannah for their patience and understanding over the last few years that I have been
working on my thesis.
i
Table of contents
_
Chapter 1 Introduction and project outline
1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1
1.2 Adhesives in Engineering . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1.3 Non destructive testing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
1.4 Ultrasonic testing of adhesive bonds . . . . . . . . . . . . . . . . . . . . . . . . 2
1.5 Research aims . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
1.6 Outline of thesis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
1.6.1 Adhesion and adhesives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
1.6.2 Design of experimental set-up . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
1.6.3 Ultrasonic tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
1.6.4 Ultrasonic signal analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
1.6.5 The Wavelet transform . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
1.6.6 Industrial application . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
1.7 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
Chapter 2
Adhesion and adhesives 2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
2.2 Adhesion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
2.2.1 Bondline Attraction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
2.2.2 Surface Wetness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
2.2.3 Mechanisms of Adhesion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
2.2.3.1 Mechanical Interlocking . . . . . . . . . . . . . . . . . . . . . . . . . . 10
2.2.3.2 Diffusion Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
2.2.3.3 Electronic Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
2.2.3.4 Absorption Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
2.2.4 Surface Preparation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
2.3 Structural Adhesives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
2.3.1 Acrylic Adhesives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
2.3.2 Anaerobic Adhesives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
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2.3.3 Cyanoacrylate Adhesives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
2.3.4 Epoxy Adhesives . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . 16
2.3.5 Imide-Based Adhesives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
2.3.6 Phenolic Adhesives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
2.3.7 Polyurethane Adhesives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
2.3.8 Silicon Adhesives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
2.4 Adhesive Selection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
2.5 Adhesive Joint Characteristics . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
2.5.1 Shear Lap Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
2.6 Stress Distribution in Bonded Areas . . . . . . . . . . . . . . . . . . . . . . . . 23
2.6.1 Boundary Conditions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
2.6.2 FEA Mesh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
2.6.3 FEA Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
2.7 Stress Measurement Using Ultrasound . . . . . . . . . . . . . . . . . . . . . 26
2.7.1 Tension Device . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
2.8 FEA Simulation of Stress in Adherent . . . . . . . . . . . . . . . . . . . . . . . 28
2.9 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
Chapter 3 Experimental set-up
3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
3.2 Ultrasonic Test Equipment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
3.3 Utex UT340 Pulser / Receiver . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
3.4 Ultrasonic Test Rig . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
3.4.1 XYZ Scanning Mechanism . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
3.4.1.1 Structural Elements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
3.4.1.2 Motion System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
3.4.2 Test Rig Set Up . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37
3.5 Motion Control System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37
3.6 Ultrasonic Probe . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
3.7 Ultrasonic Signal Analysis Software . . . . . . . . . . . . . . . . . . . . . . . . . 39
3.7.1 Digitizer Card . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
3.7.2 Data Collection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40
3.7.3 Motion Controller . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43
3.8 Instrument Commissioning and Calibration . . . . . . . . . . . . . . . . . . . 44
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3.8.1 Signal Speed Calibration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
3.8.2 C-scan Calibration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
3.8.3 Scanning Speed . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
3.8.4 Transducer Height . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48
3.9 Instrument Optimisation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48
3.9.1 Experimental Design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
3.9.2 C-Scan Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52
3.9.3 Mathematical Modelling and Optimisation . . . . . . . . . . . . . . . . . . . . 52
3.9.3.1 Mathematical Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
3.9.3.2 Refinement of Mathematical Models . . . . . . . . . . . . . . . . . . . 54
3.9.3.3 Parameter Optimisation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55
3.9.4 Graphical Evaluation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
3.9.5 Discussion of Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60
3.10 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
Chapter 4 Ultrasonic test experiments
4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63
4.2 Signal attenuation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63
4.2.1 Normal incidence transmission . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
4.3 Ultrasonic testing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
4.3.1 Amplitude variation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
4.3.2 Signal decay . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
4.3.3 Signal frequency . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68
4.4 Ultrasonic C-scans . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
4.4.1 C-Scan experimental tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72
4.4.1.1 Detection of delaminated areas . . . . . . . . . . . . . . . . . . . . . . . 72
4.4.1.2 Prediction of failure location . . . . . . . . . . . . . . . . . . . . . . . . . 74
4.4.1.3 Effect of load on adhesive bond c-scans . . . . . . . . . . . . . . . . 77
4.5 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81
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Chapter 5 Ultrasonic signal analysis
5.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82
5.2 Method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82
5.3 Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84
5.3.1 Visual Inspection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85
5.3.2 Statistical Indicators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85
5.3.3 Three-Dimensional Frequency Analysis . . . . . . . . . . . . . . . . . . . . . . 86
5.3.4 Visual Recurrence Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87
5.3.5 State Space Chart . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89
5.3.6 Wavelet Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89
5.4 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92
Chapter 6 Wavelet Analysis
6.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93
6.2 Wavelet Signal Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94
6.3 Wavelet theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96
6.4 Wavelet Energy Conservation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99
6.4.1 Wavelet energy of Ultrasonic signals . . . . . . . . . . . . . . . . . . . . . . . . 100
6.5 Comparison with Traditional Techniques . . . . . . . . . . . . . . . . . . . . . 102
6.6 Noise reduction using Wavelets . . . . . . . . . . . . . . . . . . . . . . . . . . . . 108
6.7 Data compression . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115
6.8 Data de-noising and compression . . . . . . . . . . . . . . . . . . . . . . . . . . 118
6.9 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119
Chapter 7 Industrial applications
7.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121
7.2 Orbseal . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122
7.2.1 Test results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122
7.3 Hawker De Havilland . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123
7.4 Hand held Ultrasonic tester . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125
7.4.1 MAUS IV . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126
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7.4.2 BaNDIcootFAQ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126
7.4.3 Discrete Ultrasonic tester . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127
7.5 Ford Motor Company . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 128
7.6 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129
Chapter 8 Conclusions
8.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131
8.2 Non-Destructive testing techniques . . . . . . . . . . . . . . . . . . . . . . . . . 131
8.3 Adhesion and adhesives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132
8.3.1 Preliminary tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133
8.3.2 FEA of adhesive bonds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134
8.3.3 Ultrasonic measurement of stress distribution . . . . . . . . . . . . . . . . . . 134
8.3.4 Further FEA tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 135
8.4 Design of experiment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 135
8.4.1 Ultrasonic scanning setup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 135
8.4.2 Instrument calibration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136
8.4.3 Instrument optimization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137
8.4.4 Experimental set-up . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137
8.5 Ultrasonic Experiments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137
8.5.1 Signal Characteristics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137
8.5.2 Data Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 138
8.6 Wavelet Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139
8.6.1 Noise Reduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 140
8.6.2 Data Compression . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 140
8.6.3 Suitability of Wavelet Transform . . . . . . . . . . . . . . . . . . . . . . . . . . . . 140
8.7 Industrial Application . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141
8.7.1 Automotive Industry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141
8.7.2 Aircraft Industry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141
8.7.3 Blind tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 142
8.8 Further Work . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143
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References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 144
Appendix A Experimental Equipment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 150
Appendix B Central Composite Second-Order Rotatable Design B.1 Mathematical Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 153
B.2 Refinement of Mathematical models . . . . . . . . . . . . . . . . . . . . . . . . . . 163
B.3 Parameter Optimisation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 167
B.4 Optimum instrument settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 168
B.5 Graphical representation of results . . . . . . . . . . . . . . . . . . . . . . . . . . . 170
Appendix C Industrial application results
C.1 Specimens provided by Orbseal . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 179
C.2 Maximum Energy approximation results . . . . . . . . . . . . . . . . . . . . . . . 180
C.3 Maximum Amplitude results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 184
vii
List of figures
Figure 2.1 Advancing angle of liquid drop on solid surface.
Figure 2.2 Schematic representation of adhesion by mechanical interlocking.
Figure 2.3 Schematic representation of adhesion by diffusion.
Figure 2.4 Schematic representation of adhesion by electronic forces.
Figure 2.5 Schematic representation of adhesion by absorption.
Figure 2.6 Shear lap test layout with adhesive shown sandwiched between two steel plates. All variables are also shown in this figure.
Figure 2.7 Shear lap test specimen with introduced rectangular defect at the centre of the adhesive patch.
Figure 2.8 Load-Strain characteristics from shear lap test. Specimens 16-20 were designed to have varying degree of defect area.
Figure 2.9 This graph shows the relationship between the adhesive area of the specimen in mm2, against of maximum load of each specimen. The maximum adhesive area refers to a specimen without defect.
Figure 2.10 Shear lap test configuration before and after tensile force (F) is applied.
Figure 2.11 Thick adhesive simulation plate with grey area indicating the adhered area.
Figure 2.12 I-DEAS simulation model depicting the anchoring of adhered area and the shear force applied to the opposite surface.
Figure 2.13 Finite element mesh of adhesive test plate with solid tetrahedral elements that were sized at half the thickness of the adhesive.
Figure 2.14 Stress distribution in adhesive at the bond interface.
Figure 2.15 Tension devise with test piece and ultrasonic pulser and receiver in place for testing ultrasonic signal velocity under different stress conditions.
Figure 2.16 Simulation plate with grey area indicating the adhered area.
Figure 2.17 Stress distribution at bottom of adhered test plate.
Figure 2.18 Stress distribution at top of adhered test plate.
Figure 2.19 Stress distribution at 1 mm distance above the adhesive level.
List of figures
viii
Figure 2.20 Stress distribution at 2.5 mm distance above the adhesive level.
Figure 2.21 Stress distribution at 5 mm distance above the adhesive level.
Figure 2.22 Stress distribution at 7.5 mm distance above the adhesive level
Figure 2.23 Stress distribution at 10 mm distance above the adhesive level.
Figure 3.1 Experimental set up for ultrasonic scanning and analysis.
Figure 3.2 XYZ scanning device made from aluminium structure with ball sliders on cylindrical steel rails.
Figure 3.3 Base plate and rails for linear movement.
Figure 3.4 Cross bridge member that provides traverse movement on the scanning probe.
Figure 3.5 XYZ test rig, constructed for Ultrasonic c-scans of flat plates.
Figure 3.6 Stepper motors used in scanning device to provide accurate movement of scanning probe.
Figure 3.7 Stepper motor control box that includes power supply, control cards and limit switches. Details of all parts are given in Appendix A.
Figure 3.8 Instruments set up and control window.
Figure 3.9 A-scan viewer with two interdependent gates.
Figure 3.10 FFT analysis result of an ultrasonic signal shown here as an example of the FFT capability of the software.
Figure 3.11 C-scan results with colour coded thresholds to demonstrate the ability of the software to differentiate the levels of output on a colour scale.
Figure 3.12 Software control pallet that defines the macro scale as well as the micro scale within definable threshold values.
Figure 3.13 Motion control window for X Y Z test rig.
Figure 3.14 Stepped specimen constructed specifically for calibrating the XYZ ultrasonic scanning rig.
Figure 3.15 Grey scale “ultrasonic scan” revealing the time of flight difference between the different heights of the specimen. Darker shade, which were at the lower end of the grey scale, revealed higher steps.
Figure 3.16 Test specimen for signal of observation from adherent / adhesive interface.
Figure 3.17 Ultrasonic signal responses from part without adhesive (a) and part with adhesive (b).
List of figures
ix
Figure 3.18 C-scan results of ultrasonic tests with varying speed of scanning.
Figure 3.19 Test specimen with delamination areas between steel plate and adhesive indicated by A1, A2, A3, A4 and A5.
Figure 3.20 Placement of defects at interface between adherent and adhesive.
Figure 3.21 Example of c-scan results on a test piece impregnated with defects at pre determined size and location.
Figure 3.22 (a) Graph of fraction error in Area 1 against Gain and Voltage variation.
Figure 3.22 (b) Graph of fraction error in Area 2 against Gain and Voltage variation.
Figure 3.22 (c) Graph of fraction error in Area 3 against Gain and Voltage variation.
Figure 3.22 (d) Graph of fraction error in Area 4 against Gain and Voltage variation.
Figure 3.22 (e) Graph of fraction error in Area 5 against Gain and Voltage variation.
Figure 4.1 Schematic description of reflection and through transmission pressure wave and velocity of an ultrasonic signal.
Figure 4.2 Ultrasonic signals, from area with defect (a) and without (b). The signal shown in (a) has higher amplitude and slower signal decay when compared to signal in (b).
Figure 4.3 FFT of ultrasonic signals, from area with defect (a) and without (b).
Figure 4.4 Results from adhesive bond evaluation [Roye, 2001]. Conclusion on bond quality is based on the frequency signature for bonded areas. Figure (a) comes from a “good” bond whereas (b) comes from a “bad” bond.
Figure 4.5 Grey scale and colour display of a c-scan with variation in grey scale or colour indicating variation in amplitude of the ultrasonic signal.
Figure 4.6 Test specimen with defects included between the adhesive and metal plate.
Figure 4.7 C-scan results from a specimen with introduced defects. Lighter areas indicate the location of the defects.
Figure 4.8 Superimposition of introduced defect location and defect location as detected by the ultrasonic c-scan. Lighter areas indicate defect location.
Figure 4.9 Single shear lap specimen prepared to test the prediction of failure location using an ultrasonic c-scan.
Figure 4.10 C-scan results of test specimen before destructive test. Darker (blue) areas show better adhesion.
Figure 4.11 Rainbow scale showing the frequency distribution of the c-scan.
Figure 4.12 Ultrasonic c-scan results after destructive test.
List of figures
x
Figure 4.13 Portable device for testing specimens under tensile load.
Figure 4.14 Single shear lap test piece made of two steel plates bonded with structural adhesive.
Figure 4.15 Direction of force applied to the test piece by tightening the nut at one end.
Figure 4.16 Ultrasonic c-scan of test piece before load was applied. Light grey and white areas indicating least contact with adhesive.
Figure 4.17 C-scan of test piece under load. Image shows redistribution of adhesive contact.
Figure 4.18 C-scan results of test piece after the load was removed.
Figure 5.1 Typical results from the ultrasonic A-scan. Gates were used to retrieve data from the areas of interest.
Figure 5.2 C-scan results from an adhesive bond with varying degrees of adhesion. Lighter areas reveal lower adhesion quality.
Figure 5.3 Results from ultrasonic A-scan tests on adhesive bonds with varying degree of adhesion.
Figure 5.4 Graph of statistical results indicating trends between “Good” and “Bad” bonds. Data used for these graphs comes from signals in Figures 5.3 (a-d).
Figure 5.5 Three dimensional analysis of signals from “Good”, “Bad” and in between bond quality corresponding to figure 5.3 (a-d).
Figure 5.6 Three Dimensional Analysis of signals from “Good”, “Bad” and in between bond quality corresponding to figure 3 (a-d).
Figure 5.7 State Space plots of the ultrasonic signals shown in Figure 5.3 (a-d).
Figure 5.8 Wavelet Analysis of signals from “Good” to “Bad” bond quality corresponding to figure 3 (a-d). The Haar, Level 5 wavelet was used.
Figure 6.1 Wavelet decomposition of signal S using Matlab software. Graphs show the original signal and 16 coefficients from a 5 level Haar wavelet transform. Graphs exclude the five levels of detail coefficients.
Figure 6.2 Wavelet decomposition coefficients from a 5 level Haar wavelet transform. Graphs exclude the five levels of detail coefficients.
Figure 6.3 Normalized graph, -1 to +1 Volts, from ultrasonic tests on the four specimens under investigation.
Figure 6.4 Original signal and 3 levels of decomposition of ultrasonic signal from adhesive bond quality tests. Total energy is recorded for “Good” and “Bad” bonds for comparison.
List of figures
xi
Figure 6.5 Full length of ultrasonic signal from adhesive bond test.
Figure 6.6 Ultrasonic C-scan results from a specimen with varying degree of adhesion quality.
Figure 6.7 Full length of ultrasonic signal from all six locations with varying degree of adhesion quality.
Figure 6.8 Graph from one cycle of the ultrasonic signal from all six locations with varying degree of adhesion quality.
Figure 6.9 Ultrasonic signal result from a “Good” and a “Bad” adhesive bond.
Figure 6.10 Maximum amplitude values of first 10 cycles from Ultrasonic test of adhesive bond with varying degree of adhesion quality, 1-best, 6-worst.
Figure 6.11 Total Energy values of the first 10 individual cycles from Ultrasonic test of adhesive bond with varying degree of adhesion quality, 1-best, 6-worst.
Figure 6.12 Total Energy values of progressively longer signal from 1 to 10 cycles. The signal comes from an Ultrasonic test of adhesive bond with varying degree of adhesion quality, 1-best, 6-worst.
Figure 6.13 Ultrasonic signal from tests on adhesively bonded specimen that shows extensive noise interference.
Figure 6.14 Ultrasonic signal shown in Figure 13 with noise removed using Wavelet transform technique.
Figure 6.15 Step type signal used in demonstrating the effectiveness of using Wavelet transform to remove noise.
Figure 6.16 Manufactured noise signal between values -0.05 and 0.05.
Figure 6.17 Original signal with added noise.
Figure 6.18 Original signal with noise removed using Haar 8 transform in Matlab software.
Figure 6.19 Original, noisy and de-noised signals shown on the same scale for comparison. Wavelet transform Haar 5 was used for de-noising.
Figure 6.20 De-noised signal using Haar 5 and Coif 5 Wavelet transforms.
Figure 6.21 Signal including noise and de-noised signal using Haar 5 Wavelet transform.
Figure 6.22 Signal including noise and de-noised signal using Coif 5 Wavelet transform.
Figure 6.23 Typical ultrasonic signal form adhesive bond used to investigate the capability of Wavelet transform to compress data files from tests in this area.
List of figures
xii
Figure 6.24 Result of using the Wavelet transform to compress the ultrasonic
signal shown in Figure 6.23.
Figure 6.25 Signal energy retained after removal of zero coefficients during the data compression process using the Wavelet transform. These results refer to the signal shown in figures 6.23 and 6.24.
Figure 6.26 De-noised and compressed signal of Figure 6.23, using the Haar 5 Wavelet transform.
Figure 7.1 Results from c-scan test on one specimen with blind defects in the adhesive bond interface; (a) showing c-scan results using the Maximum Amplitude method while (b) shows the results from the RMS processing technique. The latter is used as an approximation of the Maximum Energy technique developed in this research.
Figure 7.2 Ultrasonic equipment facilities used for testing adhesively bonded aircraft components.
Figure 7.3 Portable Ultrasonic equipment [MAUS IV] used for testing small areas on adhesively bonded aircraft components.
Figure 7.4 Portable Ultrasonic equipment [BaNDIcoot FAQ] developed for c-scan ultrasonic capabilities by CSIRO, Australia.
Figure 7.5 Conceptual design of portable ultrasonic tester [Lee, 2004].
Figure 7.6 Electrical / Electronic assembly of portable ultrasonic tester [Lee, 2004].
Figure 7.7 Internal automobile panel showing the adhesive applied before assembly and curing.
Figure A.1 UTEXTM UT340 pulser / receiver.
Figure A.2 Zwick / Z010 Tensile testing machine used for hear lap test of adhesively bonded specimens.
Figure B.1 Graphical results showing the influence of Gain and Voltage on defect area detection. The Z-axis of the graph labelled Area ‘n’, shows the fraction error of measured versus actual area of defect. The third variable, Scan Resolution, was kept constant at 1.5 mm in all cases.
Figure B.2 Graphical results showing the influence of Scan Resolution and Gain on defect area detection. The Z-axis of the graph labelled Area ‘n’, shows the fraction error of measured versus actual area of defect. The third variable, Voltage, was kept constant at 140 V in all cases.
Figure B.3 Graphical results showing the influence of Scan Resolution and Voltage on defect area detection. The Z-axis of the graph labelled Area ‘n’ shows the fraction error of measured versus actual area of defect. The third variable, Gain, was kept constant at 20 dB in all cases.
List of figures
xiii
Figure C.1 Adhesive bond specimens prepared in the OrbsealTM laboratory.
Figure C.2 Sample_B_RMS c-scan results.
Figure C.3 Sample_B__Rev. RMS c-scan results.
Figure C.4 Sample_M_RMS c-scan results.
Figure C.5 Sample_M__Rev. RMS c-scan results.
Figure C.6 Small_Sample_RMS c-scan results
Figure C.7 Small_Sample_Rev_RMS c-scan results
Figure C.8 Sample_T_RMS c-scan results.
Figure C.9 Sample_T_Rev. RMS c-scan results.
Figure C.10 Sample_B_MaxAmp c-scan results.
Figure C.11 Sample_B_Rev_MaxAmp c-scan results.
Figure C.12 Sample_M_MaxAmp c-scan results.
Figure C.13 Sample_M_Rev_MaxAmp c-scan results.
Figure C.14 Sample_T_MaxAmp c-scan results.
Figure C.15 Sample_T_Rev_MaxAmp c-scan results.
Figure C.16 Small_Sample_MaxAmp c-scan results.
Figure C.17 Small_Sample_Rev_MaxAmp c-scan results.
xiv
List of Tables
Table 2.1 Types of attraction forces in adhesive bonding process.
Table 2.2 Surface roughness factor for surface treated aluminium.
Table 2.3 Bond types and typical bond energies.
Table 2.4 Results from shear lap test on specimens with varying size of defect area.
Table 3.1
Dimensions of delaminated areas.
Table 3.2 Maximum and minimum values of selected variables.
Table A.1 Technical specifications of UT340 Pulser / Receiver.
Table A.2 Technical specifications of all moving parts of the Ultrasonic scan test rig.
Table A.3 Technical specifications of stepper motors used in the Ultrasonic scan test rig.
Table A.4 Technical specifications of stepper motor control cards used in the Ultrasonic scan test rig.
Table B.1 Matrix of the second order rotatable design (Code values).
Table B.2 Assignment of Code values to the Natural values of experimental variables X1, X2, X3.
Table B.3 Second order rotatable design matrix with natural values of assigned variables.
Table B.4 Extended matrix of the second order rotatable design (Code values).
Table B.5 Experimental values of response functions (criteria for optimisation). Each column of this table is the list of elements of vector Y.
Table B.6 Matrix (X`X)-1.
Table B.7 Matrix X`Y.
Table B.8 Values of calculated model coefficients (B) (Code factors).
Table B.9 Fisher criterion test results on the significance of the second order model coefficients.
Table B.10 Mathematical model accuracy test results.
Table B.11 Optimum values of parameters using coded values.
xv
Nomenclature α Attenuation coefficient
A Wave amplitude
a Wavelet running average
d Wavelet detail
Dd Constant for macromolecule mobility
E Tensile modulus of substrate
E Signal energy
ε Wavelet energy
F Force
f Discrete signal
g Analogue signal
Ga Shear modulus of adhesive
I Signal intensity
k4 Constant for molecular characteristics
λ Wavelength
M Molecular weight of polymer
n Signal Noise
N Avogadro’s number
P Pressure wave
p Pressure waves
ρ Polymer density
rf Roughness factor
s Original Signal
τ Shear stress
T Period
Tn Noise threshold
Ts Signal threshold
U Velocity of incident, reflected and transmitted waves
ω Frequency
1
Chapter 1
Introduction and project outline
1.1 Introduction
This project is about improving the testing of adhesive bonds non-destructively.
There are currently many and varied techniques that are capable of defect detection
in adhesive bonds, however cautious application of adhesives in engineering reflects
the low confidence of designers to use adhesives in cases where high reliability is
required.
This chapter will introduce the intention of this research in relation to non-destructive
testing of adhesives such as adhesives and the adhesion process, non destructive
testing techniques, experimental setup and analysis of results.
1.2 Adhesives in Engineering
Adhesives have been widely used in engineering applications mainly due to their
ease of use, large area coverage and low cost compared with other joining
processes. They are capable of joining dissimilar materials; require no fusion and no
specialized skills by the operator. In short, adhesives should be the preferred option
for joining parts in most engineering applications. However this is not the case due
to the inability to determine their strength either when they are applied or while in
service for a while. Statistical data from laboratory tests offers nominal strength for
specific adhesives under certain conditions of manufacture and application.
Conditions such as surface preparation, application temperature pressure and in
some cases humidity [Gilmore, 1994], are variables that have to be carefully
monitored for successful bonding. The probability of these variables not replicated
on field applications, coupled with other sources of ineffective adhesion due to
porosity or inclusions, restricts liberal use of adhesives to applications that have no
detrimental effects in case of failure. Engineering applications fall within the “too
dangerous” category which means limited use of adhesives. Efforts to increase
confidence in the use of adhesives for engineering applications, has lead to utilizing
non destructive testing.
Chapter 1 Introduction and project outline
2
1.3 Non destructive testing
A variety of Non Destructive Testing (NDT) techniques are available for general
engineering applications [Halmshaw, 1997]. Some of these techniques, in particular
X-Ray and Ultrasonic waves, are widely used for testing adhesive bonds. These
techniques can detect a variety of defects in adhesive bonds such as delaminations
voids, porosity and cracks [Adams, 1988]. Other defects such as zero volume
disbonds and poor cure of adhesive are more difficult to detect by either of these
techniques which further highlights the complexities in testing adhesive bonds.
Extensive research has been carried out in this field in an endeavour to improve the
reliability of these techniques. However limited success has been achieved leaving
room for extensive research to be done toward that goal.
1.4 Ultrasonic testing of adhesive bonds
The propagation of Ultrasonic signals through solid, liquid and viscous medium has
been the most widely used method of evaluating adhesive bonds. A number of
techniques, using ultrasonic signals, currently in use, Leaky Lamp waves [Mal, et. al,
1990, Bar-Cohen et al, 2001], Lamp Waves [Heller, et al, 2000, Mustafa, et al, 1997],
Pulse Echo and through signals [Blitz and Simpson 1996] have achieved some
degree of success in evaluating adhesive bonds but in general the problem of reliably
evaluating the quality of adhesive bonds remains largely unsolved. Nevertheless it is
also clear, by the extensive utilization of Ultrasonic signals, that this technique
deserves further research to achieve what is considered the “Holy Grail” [Scala,
1997] in this area which is the evaluation of adhesive bond strength non
destructively. Different hardware configurations have lead to improvements in
detecting adhesive bond defects though ultrasonic signals however signal analysis
can also be considered to have just as good potential for improvement. Signals from
the area under test would certainly be influenced by variations in material properties
hence providing a rich source of information for further analysis.
1.5 Research aims
The aim of this project is to explore existing and new approaches to enable
improvements in the reliability of adhesive bond evaluation. Hardware and software
solutions will be considered at the initial stages of the project from where directions
for deeper research will be decided.
Chapter 1 Introduction and project outline
3
It is aimed that a new, novel technique will be developed that will be capable of
higher resolution in the detection of adhesive bond defects. Increased sensitivity of
detection is expected to lead to improvements in the reliability of adhesive bond
evaluation both in detecting and analysis of the defect.
The research will have a focus on automotive and aircraft applications and where
possible it is aimed that collaboration with professionals from these areas will be
sought. Outcomes from this research will be tested on real case data either from
field tests or real applications.
1.6 Outline of thesis
1.6.1 Adhesion and adhesives
Thorough understanding of the adhesive process is considered essential prior to any
experimentation taking place. Chapter 2 is devoted to fundamentals of adhesion,
adhesives and their behaviour under test conditions. Aspects such as surface and
adhesive and preparation are necessary in preparing all specimens while the
mechanisms of adhesion need to be understood thoroughly in analyzing failure
modes. A study of existing adhesives and their application was also considered
which lead to the selection of structural adhesive to be used in this research.
A series of destructive tests is carried out at this early stage of the project to enable
understanding of adhesive bond failure. Further tests are conducted to study the
effect of defect inclusions in the adhesive bondline, by preparing suitable test-pieces
to enable correlation between defect area and load behaviour and failure. Computer
modeling is also utilised for adhesive bond behaviour under loading conditions.
Stress patterns from this study led to conclusions about the possibility of using stress
patterns to evaluate the adhesive bond quality.
1.6.2 Design of experimental set-up
Following the literature survey and preliminary experimentation, decisions on the
direction of this research influenced the design of experimental equipment. Special
test rigs, manually or software driven, were designed and constructed to
accommodate suitable test pieces for planned experimentation. The purchase of
Chapter 1 Introduction and project outline
4
other, suitable ultrasonic test equipment is also reported in Chapter 3. Hardware and
software commissioning and calibration clearly reported, shows the diligence shown
in optimizing instrument setup to achieve accurate measurements. Specially
designed test pieces with known defects are tested under the experimental set-up
and the accuracy tested by using statistical techniques.
1.6.3 Ultrasonic tests
There are various Ultrasonic techniques used in non destructive testing of adhesive
bonds. All these different techniques produce a similar signal output that is analysed
to achieve interpretation of results. In Chapter 4, ultrasonic signals from test-pieces
prepared for this research were studied to enable understanding of their specific
nature. Analysing ultrasonic signals is an important task in the ultrasonic test
process that requires knowledge and expertise to avoid misinterpretation. Therefore
the study conducted in this chapter is perhaps one of the most important in this
research as it concentrates on the nature of ultrasonic signals from adhesive bonds.
The validity of adhesive bond integrity detection is tested using an experimental rig
capable of ‘a’, ‘b’ and ‘c’ scans. A suitable water bath was used to enable efficient
coupling for the ultrasonic signal. Adhesively bonded specimens with known defects
are prepared according to manufacturers specifications and are used in this part of
the project. Signals from a Pulse Echo probe are recorded and analysed to establish
the characteristics of the signal that best reflect changes in the bond quality. Three,
well established radio wave characteristics, frequency, amplitude and decay, are
considered and their applicability to this research established.
This chapter also includes reports on a study for predicting failure patterns based on
results from ultrasonic tests. Specimens are specifically prepared for this study and
the results are revealing on the correlation of defect location and subsequent failure
under loading.
Results from tests on adhesive bonds under varying load conditions are also
reported in this chapter. A portable tensile test rig, suitable for underwater tests, was
designed for this purpose.
Chapter 1 Introduction and project outline
5
1.6.4 Ultrasonic signal analysis
All traditional ultrasonic signal indicators, frequency, amplitude and signal decay
have been used for adhesive bond evaluation. Tests in this research confirm these
findings except frequency analysis. Taking signal amplitude and decay as the
suitable characteristics, work in Chapter 5 concentrates on the use of statistical
techniques that have the potential to improve the resolution of results. Several well
established statistical/graphical techniques are explored where their ability to detect
small variations in bond characteristics is tested by observing variations in their
graphical output. The generic approach to signal analysis allows consideration of
suitable techniques and selection of one with the highest potential for ultrasonic
signal analysis.
1.6.5 The Wavelet transform
Experimentation with different statistical techniques, in the analysis of ultrasonic
signals from adhesive bonds, proved that the Wavelet Transform offers indicators
capable of highly improved resolution. In Chapter 6, the foundations of Wavelet
Transform and its capability to detect bond quality variation is further explored.
Ultrasonic signals from laboratory tests on specimens with known defects are used to
confirm and establish the advantage offered by this technique.
A brief mathematical consideration of the Wavelet Transform foundations showed
that the wavelet coefficients are affected by bond quality variation and are therefore
selected for further investigation. Further work on the use of wavelet coefficients
leads to indicators that clearly reflect variations in the quality of adhesive bonds. A
comparison of the wavelet transform indicators with existing techniques shows the
advantage of the proposed technique.
Other capabilities of the Wavelet Transform are further explored in this chapter to
establish other characteristics of this technique that offer more refinement to the
proposed technique. Indeed, signal noise reduction and data compression are also
of interest to the evaluation of adhesively bonded areas due to the nature of
ultrasonic signals and the large areas that are usually tested in the aircraft
construction industry.
Chapter 1 Introduction and project outline
6
1.6.6 Industrial application
The validity of the proposed technique for evaluating adhesive bond quality, can only
be tested by proposing it for industrial applications that are currently using other
techniques so that feedback from industry experts can be sought and conclusions
drawn. Chapter 7 covers the collaborative efforts with industry partners, to confirm
that the proposed technique offers the suggested advantages. The industrial
applications considered in this chapter are primarily from the automotive and aircraft
manufacturing industries. Adhesive materials from a local supplier that also provides
manufacturers were used. Test pieces prepared by the adhesive supplier are also
tested and the results reported in this chapter.
Collaborative work with industry revealed the need for a handheld ultrasonic device
to test adhesive bonds. This study and product design considerations lead to the
design of such a device that although not prototyped, includes all the elements of
required for its purpose of use. Details of this device are included in Chapter 7.
1.7 Conclusion
The work of this research is summarized and concluded in the final chapter of this
report, Chapter 8. The results and benefits of the proposed technique are evaluated
against the initial objectives of this research. Future directions are also discussed
with recommendations on areas that can further improve the evaluation of adhesive
bonds.
7
Chapter 2
Adhesion and adhesives
2.1 Introduction
The study of developing effective means to test the quality of adhesive bonds can only
begin after comprehensive understanding of aspects that relate to the adhesive
materials used, chemical and mechanical properties, their use in engineering
applications and their characteristics and behaviour under varying environmental
conditions. The field that covers all aspects of adhesives, their application and
performance is very wide due to the very large variations possible in chemical
composition of the adhesive, materials and types of the parts to be adhered and the
environmental conditions under which the bond will be operating etc. There are epoxy
adhesives, cyanoacrylate adhesives, polychloroprene adhesives, liquid adhesives, two
part adhesives, film adhesives, metal to metal, paper, wood adhesion, solvent based
adhesive, cold hardening/curing adhesive, hot melt adhesive to name a few of the
variables involved. After a general introduction to the adhesion process and adhesive
materials, the discussion will lean toward structural adhesives and conclude with the
focus turned further toward structural adhesives that are used in the automotive and
aerospace industries.
This chapter will also be used to explore adhesive bond behaviour under stress. Both,
destructive and simulations tests will be conducted to determine a path to be followed
in this research.
2.2 Adhesion
2.2.1 Bondline Attraction
The success of adhesion depends on a number of factors however the first prerequisite
to be fulfilled in this process is the establishment of intimate molecular contact between
the adherent and adhesive. This requires the ability by the adhesive to spread over the
surface of the adherent displacing air or other gas or liquid in its dispersion path. For
an adhesive process to succeed in the level of contact required, certain conditions
[Kinloch, 1994] must be fulfilled:
i. Liquid must exhibit zero or near zero contact angle;
Chapter 2 Adhesion and adhesives
8
ii. At some time during the bonding operation have a viscosity that should be
relatively low;
iii. Be brought together with the substrate in a manner that should assist in the
displacement of any trapped air.
Having those requirements met, the next mechanism to take effect is the attraction
force that holds the adherent and adhesive together. The most common type of
physical attractive forces are the van der Waals forces. These forces may be attributed
to the:
i. Dispersion (or London) forces arising from the internal electron motions which
are independent of dipole moments and
ii. Polar (or Keesom) forces arising from the orientation of permanent electric
dipoles and the induction effect of permanent dipoles on polarizable molecules.
A further type of attraction force that may affect the bonding process is the hydrogen
bond, which is the result of the attraction between a hydrogen atom and an
electronegative atom such as a fluorine, oxygen or nitrogen atom. Table 2.1, [Pauling,
1960, Good, 1967], lists various types of attractive forces with estimates of their bond
energy range.
Type Bond energy (kJ/mol)
Permanent dipole-dipole interactions:
o Hydrogen bonds involving fluorine
o Hydrogen bonds excluding fluorine
o Other dipole-dipole (excluding hydrogen) bonds
Dipole-induced dipole
Dispersion (London) forces
Up to 40
10-25
4-20
Less than 2
0.08-40
Table 2.1 Types of attraction forces in adhesive bonding process.
2.2.2 Surface wetness
In the case of liquid adhesives, the ease of spreading of the adhesive on the adherent
surface is one of the critical factors in the success of adhesion. The ease with which
Chapter 2 Adhesion and adhesives
9
the liquid adhesive wets a surface may be measured by advancing angle θ° of a liquid
drop on a solid surface as shown in Figure 2.1.
Figure 2.1 Advancing angle of liquid drop on solid surface.
The quality of adhesion is also dependant on physical properties not only of the
adhesive but also the surface preparation of the adherent. [Wenzel, 1936] has shown
that surface roughness may change the wetness factor of a liquid and has also derived
an equation (Eqn 2.1) to relate the advancing contact angle on smooth and rough
surfaces.
cos θf = rf cos θs (2.1)
Where rf is the roughness factor or the ratio of the actual area to the projection area of
the solid, θf and θs being the advancing contact angle on rough and smooth surfaces
respectively.
More recent research, [Carre and Schultz, 1983] has used Wenzel’s equation to
determine the value of roughness factor rf for different material taking metallised glass
as the smooth reference plane in determining θs and then repeating the test on the
rough surface to determine θf. An example of these values on surface treated
aluminium is given in Table 2.2.
Solid surface rf
Smooth glass plate (reference)
Anodized aluminium
Sealed anodised aluminium
Phosphated aluminium
1.0
1.47
1.08
1.01
Table 2.2 Surface roughness factor for surface treated aluminium.
Chapter 2 Adhesion and adhesives
10
Research by Sharpe and Schonhorn,1964, has proposed that one of the most
important factors influencing adhesive joint strength is the ability of the adhesive to
spread spontaneously on the substrate when the joint is initially formed. It goes as far
as suggesting that adhesives at their hot-melt state would result in stronger bonds
compared to being used in the cold state. The liquid adhesives with small or zero
contact angle is of prime importance and as such will spread readily and flow into
crevices to achieve true interfacial contact with little weakness. In subsequent work
Cherry and Muddaris, 1970, it was shown that a ‘wetting constant’ could be established
for an adhesive that would enable the bond strength determination assuming the
required conditions were met.
Other factors have also been proven to have an effect on the wettability of an adhesive.
Work done by Pauling, 1960, on the effects of relative humidity on the wettability of
mild steel surfaces and consequently the implications on joint strength has resulted in
the relationship that shows the strength of the bond to be lowered as the relative
humidity is increasing. However, it was also pointed out that such relationships are not
universally applicable. For example epoxy adhesive with a high viscosity and poor
wetting characteristics would be unlikely to have similar characteristics.
2.2.3 Mechanisms of Adhesion
As explained earlier in this chapter, the degree of intimate contact between adherent
and adhesive is initially a requirement for contact at molecular level to facilitate the
subsequent formation of a strong bond. There are however a number of theories that
specifically refer to the principles of adherent adhesive interface strength. Namely,
these are Mechanical Interlocking, Diffusion Theory, Electronic Theory and Adsorption
Theory. An overview of each of these theories and their contribution to the adhesion
process will be included in this section as basic understanding will certainly prove to be
beneficial in the context of this research.
2.2.3.1 Mechanical Interlocking This theory refers to having the adhesive material “wedged” on a surface irregularity of
negative angle, Figure 2.2. This can be compared to a tooth cavity created by the
dentist in order to keep the filling in place. Although a reasonable claim, mechanical
Chapter 2 Adhesion and adhesives
11
interlocking alone cannot claim the sole adhesion mechanism. It may in some cases
contribute to the strength of the bond if the surface is rough however it has not been
proven that it is because of mechanical interlocking and not due to the increased area
in contact with the adhesive as well as the “cleaner” substrate achieved by surface
blasting. It has, nonetheless, been observed that some surface roughening increases
the measured bond strength, [Jennings, 1972]. If indeed true interlocking occurs,
mechanical “holding” can claim increase of the force requirement to dislodge the
adhesive from the adherent. It is therefore accepted that roughening of the surface
prior to adhesion is applied to improve the quality of the bond. Surface preparation is
carried out either by physical means such as grid blasting, or chemical such as
anodization as in the case of aluminium. Due to the nature of mechanical abrasion for
surface preparation, it is difficult to achieve suitable cavity form for mechanical
interlocking. The cavities would probably resemble a moon crater with the upper
opening wider than the lower part. This confirms that any improvement after
mechanical blasting it’s more likely to occur due to other reasons than mechanical
interlocking. In the case of chemically roughened substrates however, it is possible to
achieve the desired shape cavity. Surface preparation by oxidization was
experimented, [Hine etal, 1984], in bonding zinc using epoxy adhesives, which proved
to achieve higher joint strength.
Figure 2.2 Schematic representation of adhesion by mechanical interlocking.
2.2.3.2 Diffusion Theory Another theory refers to adhesion of polymers to themselves through mutual diffusion
of polymer molecules across the interface, Figure 2.3. In this case, it is supported,
Voyutsdii, et al, 1965, that polymer chains across polymer/polymer interface occur
when adhesive and substrate are mutually soluble and that their chain segments have
sufficient mobility. Through experimental work in this area, Voyutsdii has developed
equations that correlate adhesive forces due to interfusion in compatible polymers to
Chapter 2 Adhesion and adhesives
12
contact time, temperature, polymer type, molecular weight and viscosity. One such
mathematical relationship correlates peeling energy, P, in an adhesive bond to the
contact time, tc, through Eqn 2.2:
4/12/13/2
42
ctdDMNkP
⎟⎟⎟
⎠
⎞
⎜⎜⎜
⎝
⎛=
ρ (2.2)
Where:
k4 : constant for molecular characteristics
N : Avogadro’s number
ρ : polymer density
M : Molecular weight of polymer
Dd : constant for macromolecule mobility
However this theory is not without its critics, [Anand 1973], that support at least part of
the adhesion achieved in this case, can be attributed to other reasons such as
improved wetting by varying time of contact and polymer molecular weight, and that if
any interfusion occurs it would be minimal and difficult to determine its respective
contribution to the adhesive forces. The afore mentioned work was reported as
suitable to the adhesion of elastomers and amorphous plastics, however work done on
polymer/metal interface, [Curie, etal 1984], extends this theory to support that adhesion
due to diffusion between copper (metal) and polyimide (adhesive) occurs where copper
atoms interdiffuse into the polyimide surface.
Figure 2.3 Schematic representation of adhesion by diffusion.
Chapter 2 Adhesion and adhesives
13
2.2.3.3 Electronic Theory
A third theory on adhesive bonding is based on electrostatic forces created by the
contact of the two dissimilar materials, Figure 2.4. These forces are essentially
attributed to the electron transfer between the two materials in contact, which can be
compared to capacitance effect between two plates. Work done to prove this theory,
[Deryaguin and Smlga, 1969], was later disputed, [Wake 1982] as the energy required
to separate the joint during a peel test was attributed to viscous and viscoelastic
responses of the material rather than solely due to electrical energy.
Figure 2.4 Schematic representation of adhesion by electronic forces.
2.2.3.4 Adsorption Theory
This theory is based on how closely the adherent and adhesive are in contact to allow
intermolecular forces to apply, Figure 2.5. Research in this area has been able to
attribute this type of bond to a number of related theories as shown in Table 2.3,
[Cherry, 1970, Good 1967 and Fowkes 1983]. Although not intended to go any deeper
into this field, the values of bond energy and a brief explanation of each will enable an
understanding on which of these are the major contributors to the adhesion process by
absorption.
Figure 2.5 Schematic representation of adhesion by absorption.
Chapter 2 Adhesion and adhesives
14
Primary bonds are established across the interface due to ionic, covalent or metallic
interaction between the adherent and adhesive materials. Secondary bonds are
attributed to the interaction between atoms and molecules from each part to effect
strong bonding forces, Van der Waals forces. There is also an in-between type of bond,
the Donnor-acceptor bond, which again is ranked due to the resulting strength of the
bond.
Type
Bond energy kJ/ mol
Primary bonds Ionic Covalent Metallic
600-1100
60-700
110-350
Donor-acceptor bonds Bronsted acid-base interactions (i.e. up to a primary ionic bond) Lewis acid-base interactions
Up to 1000
Up to 80
Secondary bonds Hydrogen bonds Hydrogen bonds involving fluorine Hydrogen bonds excluding fluorine Van der Waals bonds Permanent dipole-dipole interactions Dipole-induced interactions Dispersion (London) forces
Up to 40
10-25
4-20
Less than 2
0.08-40
Table 2.3 Bond types and typical bond energies.
2.2.4 Surface Preparation
In many cases where adhesives are used, it is almost assumed that no surface
preparation is required or applied. However true this may be, it is only so because the
surface is already at a stage that can be adhered without further treatment. In all cases
there are surface requirements for adhesion to occur effectively but in some cases
either due to the previous operation e.g. heating or washing process, the surface may
Chapter 2 Adhesion and adhesives
15
already be ready hence no further action is required. In other cases where it may
seem that preparation is not required, it could be because the adhesive was designed
to accommodate the condition of the surface e.g. presence of light protective oil. It is
certainly advisable to make sure that the adherent surface has met the requirements in
order to achieve “best” adhesion while it is also true, in many cases, that some kind of
specific surface treatment is required. In some cases it may even be required that
suitable primers are applied prior to adhesion which may serve a dual purpose in some
cases; prepare the surface for adhesion while also protecting the surface from
contamination in the time between preparation and adhesion. Manufacturers normally
issue surface preparation requirements along with each particular adhesive which in
most cases is a result of extensive research.
2.3 Structural Adhesives
Due to the nature of this research, which is related to the use of adhesives in the
automotive industry, a brief introduction will be given to the main types of adhesives
used in this area. These are characteristically known as structural adhesives and are
expected to have the high bonding strength that enables them to be used instead of
other fastening means e.g. welding, riveting or threaded fasteners. Their origins,
characteristics and applications, as reported in the Structural Adhesives Directory and
Handbook [Hussey and Wilson, 1996], shown below to enable a clear understanding of
their nature.
2.3.1 Acrylic Adhesives
First introduced in Germany in 1901, these are polymer adhesives that have good
adhesion to a variety of materials, they are water resistant, durable, flexible (under
correct formulations), with good low temperature properties, excellent optical properties
and with low toxicity. Engineering acrylic adhesives are two part adhesives that cure
when mixed to form an impact resistant plastic layer. Toughened, this adhesive has
been successfully used for vehicle construction, wood to metal bonding, aerospace
applications, panels and computer equipment.
2.3.2 Anaerobic Adhesives
First produced in 1940, they are able to cure without the presence of oxygen. Their
main features are: cure at room temperature, chemical resistance to oils and solvents,
Chapter 2 Adhesion and adhesives
16
low shrinkage, contain no solvents, excess adhesive can easily be removed. One of
the most important applications of anaerobic adhesives is thread locking of mechanical
fasteners. Varying strength may allow unfastening when required. Other applications
include securing gears on shafts, keys in keyways, filling imperfections on metals and
sealing and for gasket jointing. Curing can be accelerated by heat, UV radiation,
primers and metal ion catalysts.
2.3.3 Cyanoacrylate Adhesives
First appeared as adhesives in 1958 and after overcoming some initial shortcomings
due to brittleness, odour, surface and moisture effects they are now effective
adhesives. Their main features are: one part adhesive, ‘instant’ curing occurs under
ambient conditions and it can be applied on a wide variety of adherents. Their main
use is in joining small parts in many industries however they are primarily used for
domestic applications.
2.3.4 Epoxy Adhesives
First introduced in the 1950’s, due to their high strength and endurance are now
extensively used in the aerospace industry, vehicle and boat building industries. Their
main features are: good adhesion to many different substrates, range of mechanical
properties, have a wide range of cure characteristics, low shrinkage. They can be of
one or two parts adhesive and have varying cure characteristics ranging from room
temperature to 175 0C.
2.3.5 Imide-Based Adhesives
These have evolved from the development of resins for fibre-reinforced composites.
Two Imide based adhesives are available, Bismaleimide and Polyimide. Some of the
features of the former are: high temperature capability (200°C to 230°C), have
excellent electrical properties release no volatiles during cure but have generally poor
peel resistance. Some of the main features of the latter are: high temperature
capability (up to 300°C), excellent electrical properties but require extraction or high
processing pressure as volatiles (often water molecules) are evolved during cure.
Chapter 2 Adhesion and adhesives
17
2.3.6 Phenolic Adhesives
These adhesives appeared as early as the 1900’s known as Bakelite. Their main
features are: high mechanical strength, good solvent and water resistance, high
thermal stability and flame retardant properties. Their major applications are in
bonding wood, plywood, chip, block board manufacture, bonding abrasives (grinding
wheels), binders for moulding sands, binders for friction composites (brakes, clutches
and automatic transmissions), fibre-reinforced composite manufacture. Phenolics are
also use as additives in synthetic adhesives, eg epoxies and ‘contact’ neoprenes.
2.3.7 Polyurethane Adhesives
These can be accredited to the research of German scientists during World War II.
One main characteristic is that they have to be melted in order to be applied but need
to subsequently cool down to room temperature for curing. Their main features are:
good adhesion to a variety of substrates, good chemical resistance to oils, solvents etc.
provide tough and flexible bonds. They have many and varied industrial uses but their
major applications are in the manufacture of furniture and in the construction, footwear
and vehicle industries.
2.3.8 Silicone Adhesives
Depending on their formulation, these can be one part adhesive that cures by exposure
to atmospheric moisture or two-part adhesive that cures by addition of cross linking
agents. Their main features are: capable of varying viscosities, the have good
flexibility, very good temperature tolerance (-115°C to 265°C), good resistance to UV
and IR radiation and good resistance to oxidation. Due to good chemical resistance,
sealant and adhesive properties, its main uses are in areas of construction, marine and
vehicle assembly industries.
2.4 Adhesive Selection
The selection of the most suitable adhesive deserves individual attention in each and
every case, however there are a number of common factors that need to be
considered.
Firstly, the material to be bonded needs to be considered and usually the adhesive
manufacturer gives the best information on its suitability. However general rules
Chapter 2 Adhesion and adhesives
18
include chemical compatibility, mechanical performance requirements among
secondary but just as important issues include compatibility of expansion coefficient
between adherent and adhesive. Design considerations such as load and durability
requirements, preparation, testing and inspection requirements are essential.
Adhesive characteristics eg one or two part, viscosity, temperature, moisture sensitivity
etc. need to be considered. Cost, application method, health and safety requirements,
cure factors, appearance and service environment would also play a major role in
selecting an adhesive. For the purpose of this research, the recommended [Hussey
and Wilson, 1996] adhesives for metal to metal joining are, Acrylic, Anaerobic,
Cyanoacrylate, Epoxy, Polyurethane, Phenolic and Silicone.
After careful consideration and consultation with a major, local vehicle manufacturer,
Ford Australia [Ford], a one-part Epoxy adhesive, Orbseal Australia [Obseal], was
selected for experimentation in this research. Selection of this particular adhesive was
based on its wide use in the automotive industry for metal to metal adhesion and its
suitability for non-destructive testing.
2.5 Adhesive joint characteristics
Extensive research has been done in the area of adhesive strength. This area is of
particular interest to this research, as the effectiveness of non-destructive testing of
adhesive bonds will in some cases be measured as a function of bond strength. Many
and varied configurations have been developed to test various characteristics of an
adhesive bond which are comprehensively described in National and International
Standards such as the American Society for Testing and Materials Standard [ASTM]
for single lap joint test (ASTM D 1002-72) and the British Standards Institution series
(BS 5350). Some results from analytical and experimental work in this area will be
included briefly in this section, which will serve as a vehicle to better understanding of
the theoretical background in adhesive bond analysis.
As early as 1938 [Voldersen, 1938], work was done using an analytical approach to
determine the load and stress distributions in shear lap test specimens. Although very
straightforward in its linear approach, the shear stress in the adhesive (τ) can be
calculated using the equation Eqn 2.3,
Chapter 2 Adhesion and adhesives
19
( ) 2/12/10 )2/coth(2/ ΔΔ=ττ (2.3)
where:
F
SubstrateAdhesive
Substrateds
ba
ha
F
la
Figure 2.6 Shear lap test layout with adhesive shown sandwiched between two steel
plates. All variables are also shown in this figure.
aa lbF
=0τ (2.4)
and
ass
aa
hdElG 2
=Δ (2.5)
Ga : Shear Modulus of adhesive
E : Tensile Modulus of substrate
This early work had taken a simplistic approach by assuming that all of the parameters
involved were totally linear. For example it was assumed that the shear and transverse
tensile stresses were uniform across the thickness of the adhesive, the shear strains in
the substrates were ignored and only stresses in two directions were considered. More
recent work [Renton and Vinso, 1975], utilized advancements in computer technology
that enabled taking into consideration all the above variables through analytical,
experimental and computer (FEA) techniques. Work done in developing equation 2.3,
Chapter 2 Adhesion and adhesives
20
was used to extend it to three dimensions by using FEA as well as experimental and
analytical work [Adams and Peppiatt,1973]. The relationship between transverse shear
stress and longitudinal stress was established, the effect of diverse substrates on
adhesive stresses and even stress concentration areas were investigated. This work
lead to important conclusions on the effect of fillets at the ends of the adhesive [Adams
and Peppiatt, 1974]. Elastic / plastic behaviour of adhesives, adhesive geometry
effects, other adhesive properties were all analysed extensively and are well reported
in texts [Kinloch, 1994].
The use of FEA in analyzing the behaviour of adhesives became of special interest to
research in this area, especially the work done in adhesive fracture characterization
[Luxmoore and Owen, 1984], adhesive fracture initiation [Pluralis and Dan 1987] and
shape optimization of adhesive bonds [Nordlund, 1991].
The research cited, confirmed that stress analysis of adhesive bonds while in service
could be an effective technique to determine the quality and life expectation of
adhesive bonds. Based on this principle, it was considered worthwhile to explore the
possibility of measuring stress distribution in an adhesive bond under varying load. A
series of tests were planned to determine the effect of defects on load variation and
bond fracture. Finite Element Analysis (FEA) was also planned in order to determine
the behaviour of load distribution through the bulk of the material. Finally
experimentation on utilizing Ultrasonic signals to measure stresses in a material was
explored by constructing suitable testing jigs.
2.5.1 Shear lap test
After careful consideration of the different standard tests for adhesive bond and the
equipment available at our research facility, it was decided that the “metal-to-metal
single-lap joint test” would be used as it best reflects the operational conditions of
adhesives in the automotive area.
A variety of preliminary experiments were carried out to determine the direction of this
research of which one of them was referring to the strength of adhesive bonding.
These tests were designed to determine the effect of partial delamination in an
adhesive patch.
Five shear lap test specimens with the same area of adhesive, 25 x 25 mm were
prepared with an artificial, rectangular defect (delamination) at varying sizes as
Chapter 2 Adhesion and adhesives
21
recorded in Table 4. The defect was placed at the centre of the adhesive patch.
Figure 7 shows a typical specimen. Each of the test specimens were in subsequently
stretched on a tensile testing machine (Figure A.2, Appendix A) to destruction and the
maximum load recorded for each case. Table 2.4 shows the results deduced from the
shear lap test results shown in Figure 2.8.
Figure 2.7 Shear lap test specimen with introduced rectangular defect at the centre of the
adhesive patch.
Figure 2.8 Load-Strain characteristics from shear lap test. Specimens 16-20 were
designed to have varying degrees of defect area.
Adhesive Patch
Defect
Chapter 2 Adhesion and adhesives
22
Test Piece
Patch Area
Defect Area
Effective Area
Max Load
Effective Area
Percent Load
Nr mm2 mm2 Mm2 KN % % 16 702 0 702 7.22 100 100 17 702 65 637 7.13 91 99 18 676 144 532 5.57 79 77 19 676 203 473 6.69 70 93 20 702 272 430 6.66 61 92
Table 2.4 Results from shear lap test on specimens with varying size of defect area.
Figure 2.9 This graph shows the relationship between the adhesive area of the specimen
in mm2, against of maximum load of each specimen. The maximum adhesive area refers to a specimen without defect.
The results of the experiment were subsequently collated and plotted as shown in
Figure 2.9. This graph showed that there was limited correlation between the size of
the adhered area and the maximum load carried by the bond before failure. However,
substansive reduction in the area (39%) resulted in a moderate reduction (8%) of
maximum load carried at failure, which is in agreement with previous experimental
work [Jennings 1972]. However our results have shown that there is a clear trend that
correlates the effective bonded area to the maximum load. Although marginal,
nonetheless it is present and can be utilised in detecting cases of potential failure at
lower loads than specified by the manufacturer’s specifications. The shape, size and
location of the defect area in relation to intensity, direction and rate of application of the
applied force are all factors that would affect the nature of the failure and should be
considered in all cases. Therefore, non destructive evaluation, in this case ultrasonic,
Chapter 2 Adhesion and adhesives
23
of adhesive bonds at predetermined chronological periods can reveal the behaviour of
the adhesive bond and even have the potential to predict when the failure may occur.
Fracture mechanics of adhesive bonds [Kinloch 1994] under shear lap test conditions,
revealed that failure and load bearing of the adhesive bond is highly dependant on the
bonding strength of the edges. This explains the non-proportional load / area
relationship as the area of defect introduced was at the centre of the adhesive patch.
Single shear lap tests are prone to misaligned load application due to metal
deformation, Figure 2.10(b), hence introducing a combination of shear and peal failure
taking place at the edges of the adhesive.
(a)
(b)
Figure 2.10 Shear lap test configuration before and after tensile force (F) is applied.
This is followed by catastrophic failure once the edges fail hence the brittle failure type
of stress/strain curve. Referring to Figure 2.9, the results from specimen 18 did not
follow the trend of the other specimens however the result also supported the finding
that reduced size of effective area by delamination would result in reduced strength.
Work on the failure modes of adhesive bonds should include the effect of defect size
and location in relation to the direction of loading in order.
2.6 Stress distribution in bonded areas
The experimental work in this section prompted the question of stress distribution
dependency on adhesive bond effectiveness. Similar work done for rivet joints [Liu and
Sawa, 2000] revealed that the stress distribution of on the joint plates was correlated to
the position of the rivets suggesting that an analogous assumption should reveal the
Chapter 2 Adhesion and adhesives
24
location of strong bonding. A Finite Element Analysis of this case was carried out to
confirm the results of this test. The Simulation module of the I-DEAS software [I-
DEAS], was used for this purpose where a plate representing the thick layer of epoxy
adhesive [Orbseal], was assigned uniform shear modulus across its thickness [Post,
1988]. The shaded area at the bottom of the plate, shown in Figure 2.11, was
assigned to represent the effective area of the adhesive while the center white area
represented the delaminated area.
Figure 2.11 Thick adhesive simulation plate with grey area indicating the adhered area.
2.6.1 Boundary conditions
The effective bond area was anchored against the six degrees of freedom, to simulate
adhesion to the bottom plate of the test specimen. A uniform load was applied along
the top surface to simulate the shear force that would have been transmitted by the top
plate of the specimen during the shear lap test. Figure 2.12, reflects the restrain and
applied shear forces.
(a) (b)
Figure 2.12 I-DEAS simulation model depicting the anchoring of adhered area and the
shear force applied to the opposite surface.
2.6.2 FEA Mesh
A suitable Finite Mesh was then applied to enable calculations of the stress distribution
within the bulk of the plate as shown in Figure 2.13.
Chapter 2 Adhesion and adhesives
25
Figure 2.13 Finite element mesh of adhesive test plate with solid tetrahedral elements that
were sized at half the thickness of the adhesive.
Figure 2.14 Stress distribution in adhesive at the bond interface.
2.6.3 FEA results
The results from the FEA test are shown in Figure 2.14. The significant observation to
be made from these results, is the load distribution rather than the values of resulted
loads. Taking the load bar colour scheme, blue (bottom of bar) as minimum force and
red (top of bar) as maximum, it is clear that the edges of the delaminated area attracted
the highest stress while the well adhered areas showed lower levels of stress indicating
better load bearing ability. The question of course is whether the FEA results confirm
or otherwise the results of the single shear lap tests done earlier. As shown by the
FEA results, the edges of delaminated areas attract high stress forces that would
obviously break down when the stress reaches the adhesion breaking point.
Chapter 2 Adhesion and adhesives
26
Therefore, it would be reasonable to conclude that as these edges become larger i.e.
the delaminated area becomes larger, so does the possibility of adhesion breakdown.
On the contrary, as the edges around delamination areas become smaller, the stress
concentration is reduced as the load is distributed amongst the much larger area of
well adhered bonding. The result would be that smaller delamination within the
adhesive patch should result to better load bearing hence higher breaking load
required to break the bond. This is in agreement with the experimental results, which
leads to the conclusion that if the stress distribution in the adhesive can be measured
accurately, it may be possible to identify areas of likely failure and even the level of
force required to break the bond. Extensive work has been done in the area of stress
distribution in adhesive bonds [Adams 1978, Renton 1977], however all this work was
done on regular shapes such as cylindrical and rectangular specimens under controlled
conditions that were use to prove analytical derivations of formulae. It was felt that the
ability to determine stress distribution in test pieces of irregular shapes would certainly
lead to useful conclusions about adhesive bond behaviour. Additional work done in
this area using photo-elastic technology [Kawai, et al 1993, Vishay], holography
[Bischof and Juptner, 1992] and neutron diffraction [Li and Perrin, 1992, Lodini et al,
1992] to evaluate stress distribution in adhesive bonds confirmed that pursuing this
avenue of bond quality evaluation by utilising the ultrasonic signals to measure stress
distribution was a worthwhile direction to follow at this stage of this research.
2.7 Stress measurement using ultrasound
As mentioned in the previous section, the intention here was to map the stress
distribution in the adhesive at the adhesive bond interface. In the absence of
experimental equipment to measure the stress levels in the adhesive directly, it was
decided to measure the stress in the adherent with the assumption that at the
adherent/adhesive interface, the stress distribution should be the same. This
assumption would enable the use of ultrasonic testing to achieve this objective. The
concept of using stress distribution to map non effective adhesion may be compared to
riveted parts [Jiemin and Toshiyuki, 2001] where areas adjacent to the rivets have
different stress distribution under load compared to those further away. An
extrapolation of this concept would be that load sharing across a bonded area would
depend on the location and even the strength of the bond, i.e. less well bonded areas
would carry less load and vice versa.
Chapter 2 Adhesion and adhesives
27
Literature survey in this area revealed that stress could be determined using ultrasonic
signals [Prassianakis, 1993, 1995, 2000, Bray, 2000]. Such stress measurements are
based on the principle that ultrasound velocity is affected by the level of stress/strain in
the material at the molecular level. Therefore if two ultrasonic transducers, emitter and
receiver, were placed at a known distance apart, the time taken for the signal to travel
from one to the other should vary according to the stress levels in the material.
Following a calibration exercise it should be possible to correlate the stress level to the
speed of ultrasound signal for a particular material. This theory was proven
experimentally [Landa, 2000], and is in use for testing stress levels in turbine blades
[Bray, 1997].
2.7.1 Tension Device
A tension device was designed and built, Figure 2.5, to test this hypothesis on steel
specimens of the same material and approximate size to those used for adhesion
testing.
Figure 2.15 Tension devise with test piece and ultrasonic pulser and receiver in place for
testing ultrasonic signal velocity under different stress conditions
A series of tests were conducted where varying stress levels were achieved by
stretching the test piece, while measuring the velocity of the signal from the pulser to
the receiver. Despite several attempts, no visible differentiation could be made on the
variation of ultrasonic signal speed. Failure to detect variation in signal speed was
attributed to inadequate sensitivity of our equipment. Time variation in signal speed for
Chapter 2 Adhesion and adhesives
28
steel is 0.002 ns/MPa/mm. Therefore, over the 20 mm distance tested, there should be
0.04 ns/Mpa well beyond the resolution of our equipment. However it has to be noted
that our application required testing between distances that were too small for this
technique, and it has to be noted that such an approach may well be applicable in
cases with greater distances between the probes.
2.8 FEA Simulation of stress in adherent
Having failed to detect stress levels on the surface of a steel plate by using Ultrasonic
Signals prompted an FEA analysis in an effort to establish the reasons for not being
able to detect stress at the top surface. The Simulation module of the I-DEAS software
was used for this purpose where a plate that was assigned steel material properties
was anchored in the same manner as the adhesive analysis case in section 2.6. The
reason for the similarity between the two models is because adherent and adhesive
share the same physical adhesion characteristics at the interface. Shown in Figure
2.16, with the grey area.
Figure 2.16 Simulation plate with grey area indicating the adhered area.
The plate was assigned mild steel properties and was subjected to shear forces at the
top surface simulating those of the shear lap adhesive test. Several runs were
implemented to determine a suitable FEM element size. The results, shown in Figure
2.17, had revealed distinctive variation in stress that confirmed the hypothesis of
adhesive quality determination by use of stress distribution at the adherent adhesive
interface. This location was selected as the stress distribution on the adherent was the
same as that of the adhesive as the two are in contact at the interface and the forces
are transmitted through the bonded areas.
Chapter 2 Adhesion and adhesives
29
Figure 2.17 Stress distribution at bottom of adhered test plate.
However when the stresses at the top of the plate were examined, the stress level and
distribution was totally different to the adherent / adhesive interface as shown clearly in
Figure 2.18.
Figure 2.18 Stress distribution at top of adhered test plate.
Further analysis was conducted to observe the stress distribution at different heights
away from the bottom of the test plate. These tests showed quite clearly that the
further away from the adhesive area the less stress levels were visible. Figures 2.19 to
2.23 show the stress levels in the steel plate at various distances away from the bottom
of the plate where maximum stress levels occur.
Chapter 2 Adhesion and adhesives
30
Figure 2.19 Stress distribution at 1 mm distance above the adhesive level.
Figure 2.20 Stress distribution at 2.5 mm distance above the adhesive level.
Figure 2.21 Stress distribution at 5 mm distance above the adhesive level.
Chapter 2 Adhesion and adhesives
31
Figure 2.22 Stress distribution at 7.5 mm distance above the adhesive level.
Figure 2.23 Stress distribution at 10 mm distance above the adhesive level.
The findings from this experimental and FEA analyses discouraged any further
exploration of this hypothesis either by using ultrasound to measure surface stress
distribution or even using the more common technique of using photoelastic coating in
the Polariscope technique, [Vishay]. A method that would be able to measure the
stress distribution either in the adhesive (preferably) or the adherent at the interface will
need to be found for effective experimentation based on this hypothesis.
Chapter 2 Adhesion and adhesives
32
2.9 Conclusion
This Chapter has covered some fundamental aspects on adhesives and adhesion that
were considered necessary in pursuing our endeavors in finding effective ways of
establishing the quality of adhesive bonds non-destructively. Different adhesive
materials were examined and the most suitable one was selected for our application
which was a structural adhesive that is used in the manufacture of vehicles by a local
manufacturer. Some attention was also given to analytical information available in the
literature, about adhesive bond stress levels and distribution as after all this research is
directed toward testing bond quality which in turn depends on the ability of the
adhesive to withstand the applied stresses. Finally experimentation assisted by FEA
analysis was carried out in an effort to propose a technique of measuring stress in the
adherent as a measure of the adhesive bond quality. A method using ultrasonic
signals was used to determine stress distribution but was unable to do so primarily due
to the small distances between the ultrasonic pulser and receiver probes. It is
suggested that this technique may be suitable for cases where much larger areas need
to be inspected.
33
Chapter 3
Design of experimental set-up
3.1 Introduction
Work done to this stage of the project, as well as scientific literature in the area of
adhesive bond evaluation, has lead to a clear understanding of the problem at hand
and the alternative methods currently used to solve it. Many and varied techniques
have been researched and developed in order to evaluate adhesive bonds reliably.
These techniques have taken advantage of scientific advances in the areas of
Thermography, Radiography, Holography and others [Bar-Cohen, 2000], to non-
destructively evaluate adhesive bonds. However, the most commonly used method
in industrial applications was found to be based on Ultrasonic signal techniques. It
allows a flexible equipment setup, it is suitable for on-site testing and is one of the
main techniques used in the Automotive and Aircraft industries to test adhesively
bonded structures. Due to the above reasons, as well as special interest in the afore
mentioned industries, ultrasonic testing was the chosen method for this research in
evaluating adhesive bonds.
Ultrasonic testing equipment is widely available and selection was based on its
applicability to adhesive bond testing. The major elements of equipment required
were, an ultrasonic pulser/receiver, ultrasonic probes, recording, analysis and display
software. Aspects such as ultrasonic frequency range and data recording speed
were the most important factors in selecting equipment for this research.
Another essential component to this research equipment was the design of a three-
dimensional moving mechanism to automate the scanning process. Precise
positioning of the ultrasonic probe and an accurate record of its location is required to
enable c-scans of an area to be constructed.
A water bath was needed for specimen immersion during experiments. A plastic
container 30 cm wide x 50 cm long x 30 cm deep was constructed from 10 mm
Perspex walls.
The experimental apparatus was either purchased or designed and constructed and
eventually commissioned for the experimental tests on adhesively bonded joints.
One fairly important issue in this endeavour was the fine tuning of experimental
parameters to enable reliable data collection. For this purpose, a detailed study was
Chapter 3 Design of experimental set-up
34
carried out in optimising experimental parameter settings using an appropriate
mathematical technique.
3.2 Ultrasonic Test Equipment
A number of companies that manufacture ultrasonic testing equipment were
considered prior to purchasing equipment for this research, [Modsonic, Staveley,
Krautkramer, Sierra Matrix, UTEX]. A selection was based on the ability of the
equipment to provide accurate frequency generation and variation, accurate control
of amplification, pulse repetition, voltage control, fast data logging and generally a
“clean” signal. The chosen equipment was purchased from UTEX Scientific
Instruments Inc [Utex]. The main reasons for purchasing this equipment was its
capability to pulse and amplify ultrasonic transducers with center frequencies from 1
to 150 MHz. Its transducer excitation was achieved with an ultra-fast square wave
pulser with adjustable pulse voltage. The amplifier in the pulser / receiver was
directly gain controllable which eliminated the need for attenuators that usually
generates receiver noise. High speed, 100MHz, data logging was achieved via the
SonixTM digitizer STR8100 [STR8100] interface card. The hardware came with
accompanying software, WispectTM [Winspect] that was capable of complex signal
analysis A-scans, B-scans, c-scans, FFT and motion control devices to enable c-
scanning.
Other equipment necessary for this research was a test rig to enable c-scans and
ultrasonic probes. Figure 3.1 shows a conceptual diagram of the experimental setup
that would enable Ultrasonic scanning of adhesive bonds.
Figure 3.1 Experimental set up for ultrasonic scanning and analysis.
Chapter 3 Design of experimental set-up
35
3.3 UTEX UT340 Pulser / receiver
The pulser receiver instrument was one of the most important instruments in this
research. Accurate control of the various experiment parameters was, as in all
research activities, of paramount importance. Voltage control, pulse width, pulse
repetition rate, internal or external triggering and pulse/echo or pitch/cutch modes
were possible. As mentioned earlier however, the most important feature of this
instrument was its ability to work within 1MHz to 150MHz frequency transducers.
Specifications of this instrument are given in Appendix A.
3.4 Ultrasonic Test Rig
3.4.1 XYZ scanning mechanism
A suitable system was designed and constructed to enable experimental procedures
planned for this research (Figure 3.2). The supporting structure, motion and control
parts of the test rig were designed with special consideration given to the size of
specimens, resolution of measurement, speed of measurement and accuracy
requirements.
Figure 3.2 XYZ scanning device made from aluminium structure with ball sliders on
cylindrical steel rails.
Chapter 3 Design of experimental set-up
36
3.4.1.1 Structural Elements
A rigid base to support all moving parts, drive systems and ultrasonic probe was
constructed of cast aluminium. Other than the base plate (Figure 3.3), the rest of the
structure was made up of the legs to accommodate space for the water bath, a
bridge to provide traverse movement support and a tower to provide vertical
movement support. Special dampener inserts were placed in the legs to minimise
vibrations during scanning.
Figure 3.3 Base plate and rails for linear movement.
3.4.1.2 Motion System
The primary requirements of the motion mechanism were to provide linear movement
of the ultrasonic probe at an acceptable level of accuracy and to provide accurate
correlation between the probe location and specimen. Aspects such as straightness
of movement, parallax between slides and backlash in screws when reversing
direction were major considerations in selecting or manufacturing the suitable parts.
Linear movement was achieved by using high accuracy cylindrical rails with linear
ball bearings. Specifications of all moving parts are given in Table A.2 of Appendix
A.
Figure 3.4 Cross bridge member that provides traverse movement on the scanning probe.
Chapter 3 Design of experimental set-up
37
To minimise errors due to backlash, ball screw/nut arrangement was selected and
fitted to all axes of the test rig, parallel to the slights as shown in Figure 3.4.
Accuracy tests were conducted to ensure errors in linear movement were within
acceptable limits. The error was contained between ±0.01 mm, which was well
within the limits of this research.
3.4.2 Test Rig Set-Up
All parts were constructed and assembled to produced the Ultrasonic Test Rig as
shown in Figure 3.5. Extensive adjustment in locating each part accurately was
required to achieve the intended function of the device.
Figure 3.5 XYZ test rig, constructed for Ultrasonic c-scans of flat plates.
3.5 Motion Control System
In order to achieve predetermined locations of the ultrasonic probe for c-scan
measurements, suitable stepper motors were selected and connected to the driving
screw via a flexible coupling as shown in Figure 3.6. Details of stepper motors are
given in Table A.3 of Appendix A.
Chapter 3 Design of experimental set-up
38
Figure 3.6 Stepper motors used in scanning device to provide accurate movement of
scanning probe.
A control box (Figure 3.7) including the power supply, control cards and limit switch
sensors was designed to provide motion control of the stepper motors based on
commands given by the scanning software [Winspect].
Figure 3.7 Stepper motor control box that includes power supply, control cards and limit
switches. Details of all parts are given in Appendix A.
Chapter 3 Design of experimental set-up
39
3.6 Ultrasonic Probe
A 10 MHz non focused, immersion probe was used for this research. The non
focused nature of the probe was preferred as the response signal was expected from
the interface of the adhesive / adherent interface that varied according to the
adherent thickness. Research done in this area also showed that variation in through
transmission of the ultrasonic signal was dependant on its frequency [Chambers and
Tucker, 1999]. Due to the nature of Pulse / Echo tests done in this research and due
to the need for minimum reflection of signal from the adhesive interface when a
“Good” bond is present, a higher frequency transducer was selected to maximise
signal energy absorption by the adhesive.
3.7 Ultrasonic signal analysis software
The WinspectTM [Winspect] software was an integral part of the hardware purchased
from UTEXTM Scientific Instruments [Utex]. This software controls all ultrasonic
equipment and drives the scanning mechanism. Data collected is analysed and
displayed within WispectTM. The software operates on a Personal Computer within
the MicrosoftTM Windows Operating System.
3.7.1 Digitizer Card
A number of variable parameters needed to be setup for successful operation of the
experimental equipment. The most important of which were the selection and data
synchronisation of the digitizing card, communication parameters such as board
number, memory locations and baud rates. A sample screen is shown in Figure 3.8.
Chapter 3 Design of experimental set-up
40
Figure 3.8 Instruments set up and control window.
3.7.2 Data collection
Control of data collection was achieved by defining the gate parameters that
bounded the signal under investigation. Gates were either independent or linked to
another gate that controlled the position and triggering of the dependent gate. The
type of data to be collected was another controlled variable. Maximum or minimum
values of gated signal, time between two parts of the signal and waveform data
within the gate were some of the variables collected. The data was automatically
saved in a predefined file that was made available for further analysis. Figure 3.9
shows a typical screen of the ultrasonic signal, with two interdependent gates. Gate
2 has a fixed distance from Gate 1 and will trigger data collection only when Gate 1 is
in operation otherwise it switches off.
Chapter 3 Design of experimental set-up
41
Figure 3.9 A-scan viewer with two interdependent gates.
The data collected from the ultrasonic tests were analysed by the WinspectTM
software either in real time as they were collected or data files were saved for further
analysis at a later stage. Maximum and minimum values, Waveform and FFT (Figure
3.10) analysis were the most useful analysis tools in this research. C-scans were
also extremely useful due to the macro view of the area under test. Colour coded
thresholds were used to focus on specific Regions of Interest (ROI), exemplified in
Figure 3.11. Each colour or shade of grey, depending on the scale used (Figure
3.12), represents the level of measured variable in a standardized scale –1 to +1
Volts. Further subdivisions can be achieved by defining thresholding the region of
interest on the colour or grey scale. These and other controllable functions of the
software enable detailed analysis of ultrasonic signals, however the most important
function is its ability to differentiate between the levels of measured output for
identification of defective areas in adhesives.
Chapter 3 Design of experimental set-up
42
Figure 3.10 FFT analysis result of an ultrasonic signal shown here as an example of the FFT capability of the software.
Figure 3.11 C-scan results with colour coded thresholds to demonstrate the ability of the software to differentiate the levels of output on a colour scale.
Chapter 3 Design of experimental set-up
43
Figure 3.12 Software control pallet that defines the macro scale as well as the micro scale within definable threshold values.
3.7.3 Motion Controller
All stepper motors of the XYZ scanning rig were controlled from this part of the
WinspectTM software. For example the limits of the scan area could be defined e.g.
xy values of start and xy values at end, the speed of transducer movement, the
interval of ultrasonic measurements, file to save collected data and interval for data
collection. A sample of the Motion Controller window is shown if Figure 3.13.
Figure 3.13 Motion control window for X Y Z test rig.
Chapter 3 Design of experimental set-up
44
3.8 Instrument Commissioning and Calibration
The final step in the design and construction of the test rig was to commission,
calibrate and test the device. Axes and stepper motor calibration was done through
the Motion Controller function of WinspectTM software where the direction, and step
increments of the motors were aligned with data collection to represent the true
shape and size of specimens. Function and accuracy were evaluated by running
various scans on specimens with known dimensions.
3.8.1 Signal Speed Calibration
A special test piece was prepared, Figure 3.14, where the dimensions of the scan
results were compared to the actual results form where adjustments were made.
Vertical heights of the steps were used to calibrate “Time of Flight” measurements
from the Ultrasonic Transducer using the known frequency of the signal (10 MHz)
and the speed of sound through water (1500 ms-1). The c-scan that resulted from the
test is shown if Figure 3.15, where the areas closest to the transducer appear darker
as a grey scale was used that ranges from black to white. The measurements
confirmed accurate correlation existed between calibrated parameters and actual
dimensions of the test piece.
Figure 3.14 Stepped specimen constructed specifically for calibrating the XYZ ultrasonic
scanning rig.
Chapter 3 Design of experimental set-up
45
Figure 3.15 Grey scale “ultrasonic scan” revealing the time of flight difference between the different heights of the specimen. Darker shade, which were at the lower end of the grey scale, revealed higher steps.
3.8.2 C-scan Calibration
The first step in the process of taking measurements was to determine the type of
ultrasonic signals that reflected from the adhesive / steel interface. A test piece was
prepared from structural adhesive, Orbseal 2000 [Orbseal], adhered to a mild steel
plate with dimensions as shown in Figure 3.16.
1.2 mm
30 mm 50 mm
Adhesive
Mild Steel
25 mm
0.8 mm
Figure 3.16 Test specimen for signal of observation from adherent / adhesive interface.
Chapter 3 Design of experimental set-up
46
The specimen was placed in a water bath with its steel side towards the ultrasonic
probe. A non-focused, 10 MHz ultrasonic transducer, was used as results at
different depths were required to reveal information about both sides of the adhesive.
However some adjustment was still required to enable best results. This was
achieved by varying the distance of the transducer from the specimen while
observing the signal. Although it was an experiential result it was quite clear that one
position was giving the best signal response.
Readings from parts without adhesive were taken and compared with those from
parts of the specimen with adhesive, Figures 3.17 (a) and (b).
(a)
(b)
Figure 3.17 Ultrasonic signal responses from part without adhesive (a) and part with
adhesive (b).
Chapter 3 Design of experimental set-up
47
The results from this test showed variation mainly in the amplitude or the signal. This
is in agreement with theory introduced in the preceding chapter that supports higher
amplitude signal returning from delaminated parts of adhesive joints.
3.8.3 Scanning Speed
The speed of transducer over the specimen during c-scan readings was another
independent variable that was tested to ensure accurate collection of data. A series
of c-scans were carried out and while keeping all other variables constant, the speed
of the transducer was set at 10, 20 and 30 mm/sec. The results recorded are as
shown in Figures 3.18 (a), (b) and (c) respectively. As it can be seen there was no
significant variation in the accuracy of size definition although the surface quality of
the c-scan shows to have deteriorated at higher speeds.
(a)
(b)
Chapter 3 Design of experimental set-up
48
(c)
Figure 3.18 C-scan results of ultrasonic tests with varying speed of scanning.
3.8.4 Transducer Height
The height of transducer and speed of scanning were found to be independent from
other variable settings hence were tested individually. The results revealed that,
within the limits tested, the speed of the transducer during scanning had little effect
on the ultrasonic readings although it is understandable that excessive speeds would
have some effect on the accuracy. As excessive speeds of scanning were not
necessary or intended, this variable was considered to be not significant and was
therefore not considered for further testing. The transducer height, distance from the
specimen, was easily varied by vertical adjustment of the scanning device which
enabled optimal setting of the height by observation of output signal. However there
were a number of other variable instrument settings that were considered
interdependent, i.e. Voltage, Pulse width, Repetition rate and Pulse / Echo Gain.
Empirical testing would have resulted in lengthy experimentation and inconclusive
results due to the high number of permutations required to achieve optimal
instrument settings. It was therefore decided to use a computer based statistical
analysis routine for this purpose.
3.9 Experimental Set-Up Optimisation
The primary instrumentation used in all the Ultrasonic tests were the UT340 Pulser
Receiver System (Appendix A), and XYZ scanning machine (Figure 3.1) in a setup
detailed in Figure 3.5. The former handled all of the ultrasonic signals while the latter
guided the probe for taking measurements. In this instance, due to the requirement
Chapter 3 Design of experimental set-up
49
of producing c-scans, the XYZ machine would traverse the probe in such a manner
as to allow covering the areas under test (ROI) while allowing readings to be taken at
predetermined intervals. These intervals would normally be adjusted in terms of
distance between readings and are hereafter referred to in this work as “Scanning
Resolution”. The UT340 ultrasonic pulser receiver required a number of settings for
ultrasonic measurement of which the ones perceived to be relevant to this work were
the Voltage, Pulse width, Repetition rate and Pulse / Echo Gain. However further
experimentation showed that Repetition rate and Pulse width did not show any
significant effects on A-scan response with reference to the amplitude of the
returning signal. The same preliminary tests also revealed that the scanning
resolution appeared to have an influence on the accuracy of c-scans results.
As stated above, three instrument variables were potentially capable of affecting the
accuracy of experimental results. Each of these could of course affect the accuracy
of the results individually but there was also the possibility that they would also have
interdependent influence. A decision was made at this stage to determine the level
of influence by each of the variables on the accuracy of ultrasonic results, the
interdependence and search for the optimal setting of each and as a combination.
Even with only three variables, such a task may prove to be very time consuming and
highly prone to errors. A statistical method, Analysis of Variance, was used to firstly
identify the significance of each of these variables in affecting measurement
accuracy and secondly to optimise the instrument settings.
3.9.1 Experimental Design
Specimen: A mild steel sheet 50x40x1.6 mm with one side bonded to a 42x25x1 mm
structural adhesive patch. A series of defects were placed between the adhesive
patch and steel sheet. These were rectangular pieces of paper placed in-between
the adherent and adhesive prior to curing. The specimen was subsequently baked
according to the manufacturer’s specifications [Orbseal]. Figure 3.19 shows the
specimen including the sheet steel, the adhesive and all the defect placements at the
interface between the adhesive and adherent.
Chapter 3 Design of experimental set-up
50
Figure 3.19 Test specimen with delamination areas between steel plate and adhesive
indicated by A1, A2, A3, A4 and A5.
Area A1 A2 A3 A4 A5
Width x
height (mm)
14.8 x 14.8 10.7 x 10.2 6.3 x 6.5 4.2 x 4.3 2.3 x 2.5
mm2 219 109.1 41 18 5.8
Table 3.1 Dimensions of delaminated areas.
Instrument set-up:
1. The specimen was placed in a water bath, steel side up
2. A 10 MHz, immersion, ultrasonic probe was placed at a distance of
65 mm above the surface of the specimen
3. The UT340 Pulser Receiver system was set at 5 ns pulse width,
200 Hz repetition rate. Other settings such as Voltage and Pulse
Echo Gain were varied during the experiment
4. The scanning resolution values were varied through the
WinspectTM software [Winspect]
Procedure: The specimen was prepared with the defects placed at the interface of
adherent and adhesive (Figure 3.20).
Chapter 3 Design of experimental set-up
51
Figure 3.20 Placement of defects at interface between adherent and adhesive.
It was then baked at a temperature of 180 °C for 30 minutes according
to the specifications given by the manufacturer (Orbseal). Once the
specimen was baked and cooled in air, it was placed in the water bath
for examination. The steel side was nearest to the ultrasonic probe
such that the bond line is examined through the steel rather than the
adhesive. The instrument settings were prepared and c-scans were
taken of the specimen at different instrument settings. Instrument
settings were kept constant while each of the variables was tested
individually. Maximum and minimum values for each of the variables
were decided again through experiential testing.
Table 3.2 Maximum and minimum values of selected variables.
Variable Minimum Maximum
Voltage (V) 140 300
Pulse / Echo Gain
(dB) 6 34
Scan resolution
(mm) 0.5 2.5
Chapter 3 Design of experimental set-up
52
3.9.2 C-scan Test
A series of c-scan tests were carried out with varying parameter settings. An
example from results of one such test is shown in Figure 3.21. The instrument
variables for this test were: resolution, 0.5x0.5 mm, voltage setting at 200V and P/E
Gain at 20 dB.
Figure 3.21 Example of c-scan results on a test piece impregnated with defects at pre
determined size and location.
Grey scale was used to differentiate the results from the Gated area. Referring to
Figure 3.21, and based on a Grey scale that depicts low signals darker, one may see
clear identification of defects by the lighter areas. Although not very sharp, each and
every one of the areas is reproduced with a certain degree of dimensional accuracy.
However the boundaries of each defect is not well defined.
3.9.3 Modelling and optimisation
The accuracy of adhesive defect location and identification is at the centre of this
research. Inability to determine the location and size of the defect with the highest
possible accuracy that the instruments can afford would jeopardise the success of all
Chapter 3 Design of experimental set-up
53
subsequent work. It was therefore decided that a mathematical method was utilised
to determine the optimum settings of instruments. The results from this analysis are
reported briefly in this section while detailed analysis and results are reported in
Appendix B.
The Central Composite Second-Order Rotatable Design [Peng 1967] method was
chosen as a method for optimising instrument settings for this research. This is a
design of experiment technique that enables the derivation of a mathematical model
that can be used for optimisation. Coefficients b0, bi, bii etc., are determined by this
method which results in a second order mathematical model as shown in Eqn 3.1.
Y = bo + ∑ biXi + ∑ biiXi2 + ∑ bijXiXj (3.1)
This technique is also capable of determining the accuracy of the model as well as
the optimal values of the variables under investigation.
The experimental variables selected as having the most dominant influence on the
accuracy of results were:
X1: Voltage setting
X2: Pulse/Echo Gain
X3: Scan resolution
The selected target variable ‘Y’ for optimisation was the accuracy of defect area
detection.
Chapter 3 Design of experimental set-up
54
3.9.3.1 Optimisation models
The mathematical models derived for each of the five areas under investigation are
given below.
Y1 = 0.23 + 0.0014 X1 – 0.009 X2 + 0.0352 X3 – 0.0113 X12 + 0.0277 X2
2 (3.2)
-0.0097 X32 + 0.0032 X1X2 - 0.0196 X1 X3 + 0.0081 X2 X3
Y2 = 0.3729 – 0.0148 X1 + 0.023 X2 + 0.0633 X3 - 0.0301 X12 + 0.0746 X22 (3.3)
- 0.0646 X32 - 0.0017 X1 X2 - 0.0298 X1 X3 + 0.0494 X2 X3
Y3 = 0.272 + 0.0085 X1 - 0.0024 X2 + 0.0675 X3 - 0.0003 X12 + 0.0745 X22 (3.4)
+ 0.0404 X32 - 0.0212 X1 X2 + 0.0103 X1 X3 + 0.0789 X2 X3
Y4 = 0.4508 - 0.0078 X1 - 0.0024 X2 + 0.0611 X3 + 0.0336 X12 + 0.0765 X22 (3.5)
+ 0.0043 X32 + 0.0098 X1 X2 - 0.0136 X1 X3 + 0.0280 X2 X3
Y5 = 0.6293 + 0.0197 X1 - 0.0001 X2 - 0.0525 X3 - 0.0512 X12 - 0.0565 X22 (3.6)
- 0.0579 X32 - 0.0223 X1 X2 + 0.0034 X1 X3 - 0.0016 X2 X3
3.9.3.2 Refinement of optimisation models
The Error of experiments was determined from:
Error = Σ(Y - Yav)2 (3.7)
where Yav is the mean of Y values.
Chapter 3 Design of experimental set-up
55
The adequacy of the model was indicated by the value of the Fisher criterion Fd.f, d.f,
0.05 (Peng 1967) from where parts of the model were rejected if the conditions were
not fulfilled. Based on these findings, all insignificant coefficients were ignored to
give equations for target variable ‘Y’ as shown below:
Y1 = 0.23 + 0.0352 X3 + 0.0277 X2
2 (3.8)
Y2 = 0.3729 + 0.0633 X3 + 0.0746 X22 (3.9)
Y3 = 0.272 - 0.0675 X3 + 0.0745 X2
2 + 0.0789 X2 X3 (3.10)
Y4 = 0.4508 + 0.0611 X3 + 0.0765 X22 (3.11)
Y5 = 0.6293 - 0.0525 X3 - 0.0512 X12 - 0.0565 X2
2 - 0.0579 X32 (3.12)
3.9.3.3 Parameter optimisation
These mathematical models can now be used to determine the optimum instrument
settings of variables Voltage, Gain and Scan resolution, (X1, X2 and X3). This is
possible by using “Maxima” and “Minima” calculation through a series of differential
equations (eqn 3.13), or graphical plotting.
Chapter 3 Design of experimental set-up
56
⎪⎪⎪⎪
⎩
⎪⎪⎪⎪
⎨
⎧
=
=
=
03
02
01
XY
XY
XY
∂∂
∂∂
∂∂
(3.13)
Using the “Maxima”, “Minima” calculations revealed that Voltage (X2), variation did
not contribute in a consistent manner and that its influence depended on the size of
the defect area. When solving for the optimum value for Gain (X2), it was found that
a setting of 20 dB would give the best results. In the case of Scan Resolution (X3),
the mathematical model revealed a linear relationship between this value and
accuracy. This linear relationship lead to the conclusion that the lower the value of
scan resolution, the lower the reading error.
3.9.4 Graphical Evaluation
The mathematical models were also used to examine the influence of the three
variables using a graphical approach. Figure 3.22 (a – e) shows the results from 3D
graphs plotted for the accuracy of detecting the different size areas (A1 – A5) and the
influence of Gain and Voltage settings. A complete set of all graphs is given in
Section B.5 of Appendix B.
The graphical results were generally in agreement with the results of the
mathematical approach for optimisation. The Voltage setting is inconsistent, and
dependant on the size of the area. Considering the results for each area, Area 1 to
Area 5, Voltage setting seems to be resulting in minimum error at the lowest, 140 V,
and highest, 240 V, settings. In the case of Area 3, the minimum setting also gives
the minimum error while in the case of Area 4, the minimum error of measurement
occurs when Voltage is set at 190 V. The smallest area tested, Area 5, gave
completely opposite results to those found for Area 4, a voltage setting of 190 V,
resulted in the highest error.
Chapter 3 Design of experimental set-up
57
With reference to the Gain setting, the graphs were consistent in four out of the five
cases tested with 20 dB gain setting resulting in minimum error in the measurement
of defect area. The smallest area, Area 5, was again inconsistent with the other
results.
Having considered all the graphical results, it was concluded that a Voltage setting of
190 V, a Gain setting of 20 dB and a scan resolution setting of 1.0 mm would give
optimum results.
Figure 3.22 (a) Graph of fraction error in Area 1 against Gain and Voltage variation.
Chapter 3 Design of experimental set-up
58
Figure 3.22 (b) Graph of fraction error in Area 2 against Gain and Voltage variation.
Figure 3.22 (c) Graph of fraction error in Area 3 against Gain and Voltage variation.
Chapter 3 Design of experimental set-up
59
Figure 3.22 (d) Graph of fraction error in Area 4 against Gain and Voltage variation.
Figure 3.22 (e) Graph of fraction error in Area 5 against Gain and Voltage variation.
Chapter 3 Design of experimental set-up
60
3.9.5 Discussion of results
Where research is based on experimental results, instrumentation settings are very
important that affect the outcomes of the research. Although instrument settings can
be decided upon past experience or trial and error, operators may not have adequate
expertise hence leading to the possibility of inferior quality results that may lead to
the wrong conclusions. Even in cases where instrument setup is done based on past
experience, it does not necessarily mean that it is done correctly. For this very
reason, and even when certain aspects of experimentation seem to be obvious, it is
best to approach in a scientific manner to reduce or even eliminate possible errors
due to incorrect instrument settings. This case is no exemption where a
mathematical approach was used to optimise instrument settings prior to
experimentation. Due to the complexity of calculations, a Design of Experiment
computer software [Design Expert DX6] was used to enable all the permutations of
instrument settings and the determination of each for minimum error.
The results gave some interesting outcomes that were not expected at the beginning
of the study. The three variable settings used were the ultrasonic Pulser / Receiver Voltage setting (X1), the pulse / echo Gain (X2) and the scan resolution (X3). The
Target variable was the accuracy with which the area of a defect was detected (Y).
Table B.9 (Appendix B) indicates, through the Fisher criterion, which coefficients are
significant in the mathematical models. The starred items in the table refer to those
coefficients that have significant influence on the optimum settings. By observation it
is revealed that two of the three variables are consistently significant in all five cases
studied. These are the Pulse/Echo Gain (dB) (X1) and Scan Resolution (X3). The
latter indicates the spacing of taking reading during the c-scan process (mm).
Although it was originally thought that the Voltage setting has some influence on the
readings, it was revealed by this mathematical modelling approach that it either has
no influence at all or that it is of no influential significance. The only case in which
voltage setting is shown by the values of the Fisher Criterion to have influential
significance, is in the case where the smallest area inspected was involved. This is
not surprising as the area inspected was in some cases smaller than the scan
resolution setting. It was intentionally used to confirm the instability of the process in
cases outside its resolution capabilities.
Chapter 3 Design of experimental set-up
61
As mentioned above, the first variable parameter, Voltage setting (X1), was declared
as non significant by the method used for optimisation. The Fisher criterion in Table
B.9 resulted in value greater than 0.05 for all coefficients referring to variable X1, i.e.
B1, B11, B12, B13. This is also confirmed by the graphical results of Figures 3.22 (a-e).
Voltage setting is shown to not be able to influence the accuracy with any
consistency.
The second variable, Pulse / Echo Gain (X2), was found to have an optimum setting
of 20 dB (Table B.11, Appendix B). This was one of the variables that followed a
quadratic relationship with the error variable (eqns 3.8 – 3.12). However in one case
this parameter was found to have a different value, 26.84 dB. Although not at 20 dB,
it still supports that the dominant value is at or near 20 dB. This value will therefore
be used in this research.
Referring to the third variable, Scan Resolution, a different picture emerges. The
differential equations used for finding the minimum values of area detection error (Y),
showed that their second derivative had a positive value indicating that the minimums
were achieved except in the case of the smallest area with Target variable Y5. The
negative value indicates that the equation was referring to maximums. Considering
that the upper and lower limits of Scan Resolution were 2.1 mm and 0.5 mm
respectively, it was not surprising that this result was contrary to the others. Having
in mind that the Scan Resolution was set at 1.5 mm during the test, the scanner
would hit this defect once or at best twice as its dimensions were 2.3 x 2.5 mm.
When differentiated, the equation indicated a linear relationship between this variable
and reading error (Y5). Since the Target variable was required to be at minimum, it
was correctly recorded in Table B.11 as “Lowest” meaning that the lowest value
would give the best results. There are of course limitations that restrict an infinitely
small setting of scan resolution such as data file size, slower data processing and
extended data collection times due to scan speed restrictions. It would therefore be
suggested here that the Scan Resolution depends on the size of the area to be
detected. Where large areas are tested a scan resolution of 5 mm would be
reasonable whereas in this case 1.0 mm would be more suitable as the test area is
25x25 mm. Suggesting a Scan resolution setting of 1.0 mm for this research was
confirmed by the results in the case of Target variables Y3 and Y5. As shown in Table
B.11, these were found to have coded values of –1.616 and 0.453 respectively.
When converted to “Natural” values, using Eqn B.22, the optimum settings for Scan
resolution are recommended between 0.53 mm and 1.77 mm. A setting of 1.0 mm is
Chapter 3 Design of experimental set-up
62
therefore a reasonable suggestion for general use as it is approximately the average
of the two.
3.10 Conclusion
This chapter covered one of the most important parts of this research. Selection of a
testing technique for adhesive bond evaluation, design of experimental test rigs,
selection of hardware and software for Ultrasonic testing and commissioning of the
experimental set up was carried out. The Ultrasonic method for testing adhesive
bond quality was selected for this research due to the special interest in applications
in the automotive and aerospace industries. In addition, literature survey findings
indicated that this is the most commonly used method in industry at present due to its
versatility, availability, affordable and portability of ultrasonic testing equipment.
Having decided on the non-destructive testing method to be used, hardware and
software were selected that were capable of detecting adhesive bond characteristics
with the required accuracy. The equipment was tested for its ability to reveal
adhesive bond quality by running a series of experiments on known defects. The
results were positive and the equipment was adopted. In order to have a
comprehensive set of data for bond evaluation, an area needed to be scanned and
analysed. A purpose designed test rig was built that enabled c-scans to be carried
out on adhesively bonded specimens. The equipment was then commissioned and
tuned by using the Central Composite Second-Order Rotatable Design mathematical
approach for optimum setting of the experimental parameters. Having followed the
proper selection of hardware and software, constructed a reliable test rig and fine
tuned the experimental parameters via a mathematical technique, it was possible to
continue with the next step of this research, experimentation in search of an
improved method for reliably evaluating adhesive bonds.
63
Chapter 4
Ultrasonic test experiments
4.1 Introduction
The principle of Ultrasonic testing is based on the propagation of sound through a
medium and its partial reflection in cases where density changes occur in the bulk of
the material. These density changes are normally due to voids, variation in material
density or cracks that either cause total reflection of the sound wave, allow some of
the sound to be transmitted through, or cause it to disperse into the material bulk.
This is known to depend on the nature of the obstructing feature and the angle of
incidence of the sound wave. The velocity of the sound wave through the material is
another important parameter of this technique. Speed of sound within a material,
and time of travel are used in determining various parameters either directly or
indirectly, but it is most valuable in calculating distances between reflections of the
signal. Using time calculations, the position of a defect or location of an event may
be determined by pulse and echo signal from a probe placed in-line with signal or
from two probes placed at an angle opposite each other. Ultrasonic testing is used
extensively in adhesive bond testing, where the location of the bond can be
accurately detected, due to material density change. However in this case, it is also
required to determine the bond quality at the interface between adhesive and
adherent as well as defects within the adhesive. The ability to have conclusive
results from such tests has the potential of leading to quality evaluation of adhesive
bonds. The most common ultrasonic signal characteristics that are used to
determine bond quality are variations in signal amplitude, frequency and signal
decay. This chapter explores these signal characteristics for adhesive bond
evaluation through experimental testing where possible, or through literature survey
in cases where laboratory facilities were not available.
4.2 Signal attenuation
As mentioned in the introduction, signal characteristics from an ultrasonic test can
reveal information about the material under test. Signal attenuation is one of the
characteristics that is often used and its variation is often measured by the amplitude
of the reflected signal. This is represented by the “Attenuation Coefficient” (α), in
Chapter 4 Ultrasonic test experiments
64
units of neper (m-1), which was used in an equation [Blitz and Simpson, 1996] to
correlate signal amplitude to attenuation.
As the signal travels though the material it looses some of its intensity due to
dissipation in adjacent matter. For the purpose of this derivation, this energy will be
considered as lost from the signal and is assumed to have uniform fractional loss of
energy (E), 2α, per unit path-length.
Considering path-length dx:
dE/E = -2α dx (4.1)
Since the intensity, I, is proportional to E:
dI/I = -2α dx (4.2)
Putting I = I0 when x = 0 and integrating with respect to x yields:
I = I0 exp(-2αx) (4.3)
And, because intensity I is proportional to the square of the amplitude, A,
A = A0 exp(-αx) (4.4)
This leads to the ability to determine the “Attenuation Coefficient” by using the
reducing amplitude (y1/y2) of the attenuating sinusoidal wave at frequency 1/T (Hz)
through relationship,
α = 1/T loge (y1/y2) (4.5)
It is common practice to express attenuation in units of decibels where 1 neper is
equivalent to 10 log10 e = 8.686 dB.
Equation (4.4) indicates that the amplitude of the reflected signal (A) is inversely
proportional to the attenuation coefficient as well as signal frequency, which is shown
by equation (4.5).
Chapter 4 Ultrasonic test experiments
65
4.2.1 Normal incidence transmission
When an ultrasonic signal encounters a different density medium than the one it
currently travels, it is partially or totally reflected and/or dispersed depending on the
nature of the second medium. In the case of normal incidence, this effect can be
shown schematically as in Figure 4.1, where Pi is the incident wave, Pr is the
reflected wave and Pt is the transmitted pressure wave and Ui, Ur, Ut, the velocity of
incident, reflected and transmitted waves. This layout refers to two different but
homogeneous materials, 1 and 2, which have different characteristics that
consequently lead to different impedances R1 and R2.
Figure 4.1 Schematic description of reflection and through transmission pressure wave
and velocity of an ultrasonic signal.
A quantitative estimation of the sound energy transmitted, reflected or dispersed can
be determined using the following derivation [Blitz and Simpson, 1996].
Assuming that the signal is traveling through a non-absorbing material, the pressure
waves pi, pr and pt can be expressed in terms of wave amplitude A1, B1 and A2,
frequency ω and wave numbers k1, and k2 (2π/λ) as:
pi = A1 sin (ωt – k1x) (4.6)
pr = B1 sin (ωt + k1x) (4.7)
Chapter 4 Ultrasonic test experiments
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pt = A2 sin (ωt – k2x) (4.8)
At the boundaries where x = 0,
pr / pi = B1 / A1 (4.9)
Indicating that the amplitude of the reflected signal, B1, from an ultrasonic test is a
measure of reflected energy assuming that:
pt = pr + pi (4.10)
The principle of energy balance and signal attenuation dependency on material and
defect characteristics will be further pursued in this research in qualitatively
evaluating adhesive bonds. It is evident from the above that better bonding would
provide a better pathway to the signal hence resulting in greater energy being
transmitted though the interface. This in turn can be interpreted as less intimate
contact exists between adherent and adhesive when higher levels of energy are
reflected from the adhesive bond reveals. Maximum reflection of energy would be
expected from non-contact between adherent and adhesive while minimum will occur
from “good” adhesive bonding. As the objective of this research is identification of
bond quality, close attention will be given to the signal reflected from an adhesive
bond as accurate utilization of signal characteristics will enable conclusions on bond
quality for cases between “best” and “worst” case scenarios. As shown above, both
the amplitude and attenuation of the returning signal can be used as a measure of
the bond quality; therefore these will be the signal parameters that will be considered
for signal analysis either individually or preferably devise a method that would reflect
both these characteristics in one result.
Chapter 4 Ultrasonic test experiments
67
4.3 Ultrasonic testing
A series of preliminary tests were carried out to confirm that the energy balance
hypothesis is applicable in this research and that signal amplitude and decay were
able to reveal adhesive bond characteristics. A number of specimens were prepared
using a one part structural epoxy adhesive [Orbseal] with known areas of non-contact
between adherent and adhesive. These specimens were subsequently tested in a
water bath using a 10 MHz ultrasonic probe and UTEX pulser receiver [Utex].
4.3.1 Amplitude variation
Results from the preliminary tests are shown in Figure 4.2. The signal shown in
Figure 4.2(a) comes from an area with an introduced defect, whereas Figure 3(b)
shows a signal that comes from an area without defect. This result is in agreement
with the hypothesis of having more of the signal energy reflected in cases of less
intimate contact between adherent and adhesive.
4.3.2 Signal decay
Further observations from the experimental results, shown in Figure 4.2, also showed
variations in the signal decay. These results can be related to the presence of
defects in the bonded area. Figure 4.2(a) shows a slower decay, and these come
from a poor adhesive bond whereas figure 4.2 (b) shows a very rapid signal decay.
The latter comes from an area on the adhesive bond that did not have any defects.
This result confirms the energy hypothesis introduced in 4.2 but also agrees with
earlier research [Goglio and Rossetto, 1999] that used the degree of signal decay to
derive an index that would represent the quality of an adhesive bond.
Chapter 4 Ultrasonic test experiments
68
(a) (b)
Figure 4.2 Ultrasonic signals, from area with defect (a) and without defect (b). The
signal shown in (a) has higher amplitude and slower signal decay when
compared to signal in (b).
4.3.3 Signal frequency
A frequency analysis was also carried out to observe changes in the natural
frequency of the returning signal. FFT results did not reveal significant frequency
variations between areas with defects and those without. Although some difference
in magnitude, signals from a bond with defect, Figure 4.2 (a), showed mainly the
same dominant frequencies as that from the bond without defect, Figure 4.2 (b).
Chapter 4 Ultrasonic test experiments
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(a) (b)
Figure 4.3 FFT of ultrasonic signals, from area with defect (a) and without (b).
It must however be noted that research [Bagnhammar, et. al] in this area revealed
that frequency analysis of ultrasonic signals from adhesive bonds has been used to
evaluate their quality. This particular area is referred to as “Ultrasonic Resonance
Spectroscopy” and it uses the principle of mechanical resonance in a multilayer
structure. It is based on the hypothesis that if subjected to an external input, each of
the layers in a multilayer structure would normally produce a different resonance
signature that depends on its physical characteristics. This hypothesis was tested on
structures bonded with adhesive where the frequency spectral characteristics were
correlated to the presence of defects in the bond line. It is claimed that the method
had achieved 100% successful detection of delaminated bond lines. Coupled with
Artificial Neural Networks (ANN), the researchers [Stepinski, et. al, 1998] achieved
automatic recognition of defects at the bond line. Named “The Neural Spectrum
Classifier” the system uses a preprocessor to examine the data and reject any
irrelevant information, otherwise referred to as feature extractor, hence making the
training of ANN achievable with less data input. The system has been effectively
used in civil engineering applications [Andrews, et. al, 1995] as well as in adhesively
joined multi-layer aerospace structures [Bagnhammar, et. al, 1997].
Work done using this technique to test adhesive bonds in the automotive industry
[Roye, 2001], made some recommendations with regard to the frequencies used for
testing. Low ultrasonic frequencies, 2 MHz, are recommended in determining the
quality of the adhesive bulk as higher frequencies, 20 MHz, that are valuable in
Chapter 4 Ultrasonic test experiments
70
detecting interfacial problems are unable to give a returning signal due to high
attenuation in the adhesive. Results from the same research are shown in Figures
4.4 (a) and (b). The lower window in these figures shows the A-Scans of the
returning signals from the plate and the adhesive, which are clearly inconclusive in
the time domain as they interfere with each other. The two upper windows show
copy of the gated signal (left) and frequency spectrum (right) where the signals differ
considerably. Since these signals come from adhesive bonds with known quality,
they can be used as a signature to evaluate adhesive bonds.
(a) (b)
Figure 4.4 Results from adhesive bond evaluation [Roye, 2001]. Conclusion on bond
quality is based on the frequency signature for bonded areas. Figure (a)
comes from a “good” bond whereas (b) comes from a “bad” bond.
Samples with known “Good” and a “Bad” adhesion areas were used and as it can be
clearly seen, the frequency spectrum analysis shows marked differences in dominant
resonant frequencies. These dominant frequencies were correlated with the quality
of the bond.
As shown in these preliminary experiments, ultrasonic signal amplitude and decay
characteristics were able to detect bond defects quite clearly. However FFT did not
result in as clear differentiation between “good” and “bad” adhesive bonds although
research has shown that this is possible [Roye, 2001]. Based on these findings, it is
evident that the equipment available for this research is not capable of utilising
ultrasonic frequency variation to discriminate between “good” and “bad” bonds.
Chapter 4 Ultrasonic test experiments
71
4.4 Ultrasonic C-scans
Adhesive bond testing is almost in all cases found over a large area in comparison to
other means of fastening parts together e.g. arc welding, spot welding or other forms
of welding. In many cases the bonded area could be of considerable size especially
in the area of laminated structures. Aircraft body parts and wings are one such
example of large bonded areas. It is therefore necessary to inspect enough
proportion of the area in order to draw conclusions about the quality of the adhesive
bonding. In contrast, welded areas are usually either at a spot or along a line where
testing can be achieved with one-dimensional ultrasonic testing. To test larger areas
such as those with adhesive bonds, two directional testing is required. The area is
scanned in the X and Y directions and readings from the ultrasonic signal are taken.
The results are plotted in these two directions as scanned, while a third dimension is
displayed either on a grey scale or colour variation. The results are able to highlight
differences that can be related to the quality of bonding. This is an ultrasonic c-scan
and typical results are shown in Figure 4.5.
(a) (b)
Figure 4.5 Grey scale and colour display of a c-scan with variation in grey scale or colour
indicating variation in amplitude of the ultrasonic signal.
Chapter 4 Ultrasonic test experiments
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4.4.1 C-Scan experimental tests
A series of experimental tests were carried out using the principles outlined above to
explore the capabilities of using c-scans in the area of Adhesive Bond testing. These
tests included:
• Detection of delaminated areas
• Prediction of failure location
• Effect of load on adhesive bond c-scans
• Load/adhesive area relationship
4.4.1.1 Detection of delaminated areas
The first test was to establish the ability to detect delaminations between adherent
and adhesive. A test specimen was prepared with a number of intentional defects
placed at the interface between the adherent and adhesive. The delamination
defects were simulated by placing rectangular pieces of paper between metal and
adhesive and before curing. The location and size of the defects was noted for
comparison with the planned c-scan tests. Figure 4.6, shows the layout of the paper
pieces within an irregular shaped rectangle that represents the approximate size
shape and location of the adhesive. The outer rectangle represents the 1.5 mm steel
plate.
AdhesiveMetal
Figure 4.6 Test specimen with defects included between the adhesive and metal plate.
Chapter 4 Ultrasonic test experiments
73
An ultrasonic c-scan was carried out in a water bath with a 10 MHz probe. Figure 4.7
shows the results of the c-scan as tested by a pulse / echo ultrasonic signal from the
steel side. The grey scale image ranges from dark, indicating lower levels of energy
returning to the probe to light indicating higher levels of energy. The grey scale is
proportional to the amplitude of the reflected waves which in turn is proportional to
wave energy received. Lighter grey areas represent higher amplitudes which
correspond to the defective areas. This result confirms the theoretical correlation
between levels of ultrasound energy and amplitude of signal. Another conclusion
that can be drawn from here is that the better the contact at the bond line, the more
ultrasound energy was transmitted through the material hence the lower the
amplitude of returning signal. Therefore the lighter areas indicating the defective or
less contacting bonds.
Figure 4.7 C-scan results from a specimen with introduced defects. Lighter areas
indicate the location of the defects.
The location and shape of defects was superimposed on the c-scan results as shown
in Figure 4.8. By visual inspection, it was established that there is a definite
correlation between the introduced defects and the defective areas detected by the
ultrasonic c-scan. However, as it can also be clearly seen, that the accuracy and
clarity of defect detection is questionable. The defects on the c-scan are shown to be
smaller and in some cases not clearly visible. This may be due to not having
optimum settings on the measuring instruments used e.g. Voltage setting, scan
Chapter 4 Ultrasonic test experiments
74
resolution, frequency etc. The inefficiency to clearly show the defects may also be
attributed to the technique used i.e. Maximum Amplitude measurement. These are
therefore two areas that need further attention, which will be further researched in
this thesis.
Figure 4.8 Superimposition of introduced defect location and defect location as detected
by the ultrasonic c-scan. Lighter areas indicate defect location.
4.4.1.2 Prediction of failure location
Detection of defects in an adhesive bond is normally done in order to predict the
failure of the bond. It was therefore decided that before proceeding any further with
this research, it would be necessary to establish if failure prediction could be
achieved with the researched technique used in this case. A specimen was prepared
for a single shear lap test to establish the correlation between predicted failure
location by an ultrasonic c-scan of the adhesive bond and the location of adhesive
bond failure during a destructive test. Figure 4.9 shows the plan and elevation of the
single shear lap test piece with dashed lines showing the adhesive area.
Chapter 4 Ultrasonic test experiments
75
Figure 4.9 Single shear lap specimen prepared to test the prediction of failure location
using an ultrasonic c-scan.
The defect introduced was a straight strip of 10 mm wide that went though the whole
length of the adhesive patch. The defective area was achieved by placing a
waterproof, polymer based material between adherent and adhesive prior to curing.
Since the tests were to be carried out in a water bath, water absorbent material
would have become a good conductor to the ultrasound signal that would have led to
the wrong conclusion of good bonding.
Figures 4.10 (a) and (b) show the results of the ultrasonic c-scan on both sides of the
test piece. The defective area is clearly visible in figure 4.10(a) while Figure 4.10(b)
reveals variations in the Ultrasonic testing results even though no artificial defects
were placed in the reverse side of the specimen.
(a) (b)
Figure 4.10 C-scan results of test specimen before destructive test. Darker (blue) areas
show better adhesion.
Chapter 4 Ultrasonic test experiments
76
The rainbow scale colours shown in Figure 4.11, vary approximately between 0.1 –
0.45 Volts with blue representing the lowest signal amplitude and red the highest. As
shown earlier low amplitude indicates lower energy returning from the adhesive
bond, which in turn reveals good bonding. Higher amplitude would reveal the
opposite indicating reduced bonding. However in this case the red area is beyond
the boundaries of the test piece as shown in Figure 4.10. The rectangular box
indicates the area of the adhesive whilst the rest of the figure shows the metal plates.
Figure 4.10(a) shows quite clearly the area where the defect exists as a green strip at
the centre of the adhesive. Other than the edge effect due to the resolution of the c-
scan, 1x1 mm, the image represents the defective area quite clearly. The error in
width measurement is approximately equal to 10% as in some instances it shows a
width of the defect strip to be 11 mm instead of 10 mm.
Figure 4.11 Rainbow scale showing the frequency distribution of the c-scan.
Since the aim of this experiment was to establish whether there is correlation
between the c-scan results and the fracture behaviour of the bond, the specimen was
pulled from either end on a tensile testing machine until failure occurred. Figures
4.12 (a) and (b) show the ultrasonic c-scan results after destructive tests.
Chapter 4 Ultrasonic test experiments
77
(a) (b)
Figure 4.12 Ultrasonic c-scan results after destructive test.
The images in figures 4.10 and 4.12 show a definite relationship between the initial
ultrasonic c-scans and the failure characteristics at the adhesive bond-line. The
dark blue (lower amplitude) areas within the rectangular boundary of Figure 4.12 (a)
and (b) show areas that the adhesive did not break away from the steel plate during
the destructive test. This simple test indicated quite clearly that by using the
ultrasonic c-scans technique on the adhesive bond under test, it was possible to
predict which parts of the bond would fail under destructive loads.
4.4.1.3 Effect of load on adhesive bond c-scans
The application of c-scan technique was also tested for detecting transient conditions
of adhesive bonding. A special device was designed and built to enable load
changes between c-scans. The device is shown in Figure 4.13, which was operated
manually to vary the load between scans. The results were quite revealing not only
in the ability of this technique to detect change at the interface between the adhesive
and adherent but also due to the findings.
Chapter 4 Ultrasonic test experiments
78
Figure 4.13 Portable device for testing specimens under tensile load.
A single shear lap test specimen was made of 50x40 mm steel plates bonded to
structural adhesive as shown in Figure 4.14.
Figure 4.14 Single shear lap test piece made of two steel plates bonded with structural
adhesive.
The force applied to the test piece as shown in Figure 4.15.
Figure 4.15 Direction of force applied to the test piece by tightening the nut at one end.
Chapter 4 Ultrasonic test experiments
79
Figure 4.16 shows the c-scan results from the test piece before any stress was
applied. The amplitude of the ultrasonic signal is indicated by changes in colour
according to rainbow scale shown in Figure 4.11. According to this scale, which
ranges from minimum blue to maximum of white through green, red and grey, areas
that are closely bonded are blue while totally disponded areas are indicated by white.
Large red and black areas are out of range values that are not significant in our
experiment.
Figure 4.16 Ultrasonic c-scan of test piece before load was applied. Light grey and white
areas indicating least contact with adhesive.
A force was applied, as shown in Figure 4.15, and a c-scan was performed while the
specimen was held in a stressed state. C-scan results shown in Figure 4.17 show
that there is a redistribution of adhesive bonding characteristics when the specimen
is put under load. The lighter grey area indicates poor contact or delamination while
the blue area indicates improved contact according to rainbow the colour scale in
Figure 4.11. Some areas appear to have improved contact rather than delamination
although the bond is under stress. This may be attributed to the compression and
twisting forces due to misalignment of tensile forces (Figure 4.15) which in turn
brought the adherent and adhesive closer rather than pulled further apart.
Chapter 4 Ultrasonic test experiments
80
Figure 4.17 C-scan of test piece under load. Image shows redistribution of adhesive
contact.
The force was removed and the same c-scan taken again. This was done to
examine if it was possible to detect residual changes due to the stresses introduced
earlier. The results are shown in Figure 4.18 where a much larger area is shown as
having more delaminations with the worst areas shown in lighter grey to white.
Comparing this scan (Figure 4.18) to the original, unloaded test piece (Figure 4.16),
the conclusion leads to a reasonable outcome with the white areas showing the
weakest contact which correspond well with the original weak areas. However it can
also be seen that the grey area has expanded considerably indicating that the force
applied had damaged the bond in varying degrees.
Figure 4.18 C-scan results of test piece after the load was removed.
Chapter 4 Ultrasonic test experiments
81
4.5 Conclusions
This chapter explored the ability of Ultrasonic signals to detect adhesive bond quality.
Three main features of the ultrasonic signal were considered, amplitude, frequency
and signal decay. These parameters were selected as they are most commonly
used in industry as well as the availability of equipment to measure them. A brief
mathematical investigation was made to establish the correlation between these
variables and bond quality. As shown by Equations 4.1 – 4.10, all three variables
were theoretically capable of bond quality measurement. Each of these techniques
was subsequently tested using experimental procedures, which proved to be positive
in the case of Amplitude and Signal Decay. However frequency variation did not
reveal clear distinction between “good” and “bad” bonds even though this method is
used in industry.
The application of ultrasonic testing using amplitude variation was further
investigated by carrying out a number of experiments. Two experimental tests were
carried out, one to confirm the “yes”/“no” ability to detect a defect in the adhesive,
and a second test to detect if ultrasonic testing could reflect the varying degrees of
defect severity. The former was clearly demonstrated by testing a specimen with
intentional defects however the clarity of the results were in some doubt as smaller
defects were not detected and the size of the defects was accurately represented.
This finding led to the conclusion that further work was required to improve this
drawback. After careful consideration, it was decided that further research was
needed to derive a new technique that would enable higher accuracy and resolution
than the existing methods. It was also decided that as a first step, an in-depth
analytical approach should be taken to ensure that the instrument settings were at
optimum before the new signal evaluation technique is sought.
A second series of experiments was carried out to establish the ability of the
ultrasonic testing technique to detect variations in defect severity. A special device
was constructed for this purpose and the specimens were tested while under varying
degrees of stress. The results revealed that it was certainly possible to detect
variations in the degree of bond quality. It was further established that ultrasonic
testing of an adhesive bond could detect failure locations based on c-scan results.
The next step in this research will be the construction of a suitable test rig and
implementation of an analytical approach to optimize instrument parameter settings.
82
Chapter 5
Ultrasonic Signal Analysis
5.1 Introduction
As shown in preceding chapters, Ultrasonic techniques have been extensively used
in quality evaluation of adhesive bonds. Experimentation in this project has shown
that signals from ultrasonic tests on adhesive bonds, provide a rich source of
information for further investigation. Since the intention of this research was to
determine a reliable method for evaluating adhesive bonds, graphical evaluation
seemed a reasonable direction to follow. It was therefore decided to experiment with
a number of well established, suitable graphical techniques. Data from adhesively
bonded tests conducted earlier, was analysed with the aim at finding a suitable
parameter to discriminate between varying degrees of adhesive bond quality. Each
of the techniques used, showed ability in revealing variations between tested cases,
although some showed more promise than others. However interpretation was not
always straightforward and in some cases only visual, qualitative information was
presented, which was interpretable only to the experienced eye. Nevertheless,
experimentation with these techniques proved that both qualitative and quantitative
data interpretation shows significant promise for adhesive bond evaluation.
5.2 Method
Ultrasonic c-scan recordings were performed on adhesive bonds purposely
constructed from structural adhesive [Orbseal] on mild steel plate of 0.8 mm
thickness. Delaminations were introduced at predetermined locations to enable
signals from “good” and “bad” bonds to be collected for further analysis. The signal
information was collected in the form of Ultrasonic A-scans that indicated the level of
response intensity in Volts and the time of travel in micro seconds (Figure 5.1). As
expected, signals from locations with varying degree of adhesion revealed variations
that were clearly visible by observing the c-scan of the whole area under test (Figure
5.2).
Chapter 5 Ultrasonic Signal Analysis
83
Figure 5.1 Typical results from the ultrasonic A-scan. Gates were used to retrieve data from
the areas of interest.
Figure 5.2 C-scan results from an adhesive bond with varying degrees of adhesion. Lighter
areas reveal lower adhesion quality.
Data collected from predetermined locations of the adhered specimen was
processed by using existing data analysis techniques. Although the analyses
methods used were considered suitable for this application, they were selected from
existing software available to the author. It is certain that other techniques could
have been used however the objective is to investigate the possibility of analysing
signals from this research using graphical and statistical methods. It is considered
that conclusions can be drawn from using a selected few, rather than exhaustively
searching through all available graphical techniques. The initial investigation in any
case was followed by deeper examination of techniques found to have potential in
providing quantitative solutions in this research.
Chapter 5 Ultrasonic Signal Analysis
84
5.3 Results
Signals from four locations were selected that included the best and worst case
scenarios: “good” and “bad” bonds, as well as two intermediate results to enable
more comprehensive evaluation, (Figure 5.3 a-d). Two gates (filters) were used to
collect data from selected locations of the signal. One gate was used to measure the
maximum amplitude of the second impulse response, while the second gate
collected waveform data over a wider range of the signal. The same instrument
settings and gate locations were used for all tested cases.
(a) Signal from “Good” bonding (b) Signal from intermediate quality bond
(c) Signal from intermediate quality bond (d) Signal from “Bad” bonding
Figure 5.3 Results from ultrasonic A-scan tests on adhesive bonds with varying degree
of adhesion.
Chapter 5 Ultrasonic Signal Analysis
85
5.3.1 Visual Inspection
Visual observation revealed quite clearly that the signals differ considerably from
cases of “Good” and “Bad” bonding. Although the general form of the signal remains
the same, the magnitude and detail varied considerably. The results from
intermediate locations, between the two extremes, were also recorded to examine
the possibility of detecting gradual change of the signal, which was clearly confirmed.
Based on this observation, the ability to detect variations in bond quality may be
possible by visually inspecting the shape of the signal. However it is also clear that
there is detail in the signal that cannot be analysed or compared visually.
5.3.2 Statistical Indicators
Firstly, simple statistical indicators were calculated for each data set. This was done
to observe any obvious discriminatory characteristics that may clearly differentiate
between the varying degree of adhesion quality. Data taken from ultrasonic signal
data shown in Figures 5 (a-d) were used to construct the graph shown in Figure 5.4.
Observation of these results reveals that the signals contain information that can
clearly differentiate between each case. Other than the “Mean”, each of the other
statistical results indicate either positive or negative trend from “Good” to “Bad”
bonding. Considering these variables as a means to discriminate between the
varying bond quality levels, the “Variance” value may be the most suitable as it
shows the widest variation between “Good” and “Bad” adhesive bonds.
Chapter 5 Ultrasonic Signal Analysis
86
-1
0
1
2
3
4
Min. -0.3828 -0.5156 -0.7031 -0.7266
Max. 0.4453 0.5469 0.5938 0.6953
Mean -0.31 -0.22 -0.56 -0.54
Var. 0.71 1.23 2.56 3.38
SD 0.845 1.108 1.6 1.837
Skew. 0.6374 0.5413 0.0517 -0.0534
Kurt. 0.5368 0.51199 0.2175 0.14458
Good Intermediate 1 Intermediate 2 Bad
Figure 5.4 Graph of statistical results indicating trends between “Good” and “Bad”
bonds. Data used for these graphs comes from signals in Figures 5.3 (a-d).
5.3.3 Three Dimensional Frequency Analysis
The second technique used was the “Three dimensional frequency analysis” that
appears to have confirmed earlier conclusions [Section 4.3.3] that signal frequency
variation did not reveal any significant differences between the varying degrees of
bond quality. Figure 5.5(a) shows the results from a “Good” bond while Figures 5.5
(b) and (c) come from progressively worsening bond condition with Figure 5.5 (d)
showing the results from a “Bad” bond. By observing each of these figures, it can be
seen that other than a small variation on the horizontal scale no other variations
occur. Also by observation, the variation appears in each of the figures except figure
(b). The fact that all variations are similar in three out of four cases is inconclusive
itself but it is also confirmed by the fact that figure (b) has not variation along its
horizontal scale without identified reasoning.
Chapter 5 Ultrasonic Signal Analysis
87
(a) (b)
(c) (d)
Figure 5.5 Three dimensional analysis of signals from “Good”, “Bad and in between
bond quality corresponding to figure 5.3 (a-d)
5.3.4 Visual Recurrence Analysis
Visual Recurrence Analysis is a signal analysis technique first introduced [Eckman,
et.al, 1987] to enable a multidimensional graphical interpretation of one dimensional
data. Additional dimensions such as time scale and variation of the data, are plotted
to produce a multivariable graphical output that can reveal similarities and differences
between signals.
Due to the nature of the calculations and graphical display requirements, the Visual
Recurrence Analysis software [Kononov, 2004] was used. This method was selected
as it has the potential to graphically detect hidden patterns and structural changes in
data or see similarities in patterns across the time series under study. The nature of
the recurrence plot allows highlighting of differences between the signals under study
as it generates a two-dimensional map from the one-dimensional data of the signal.
Although the results appear as two dimensional due to the nature of display devices,
influences from more than two variables are also revealed. Interpretation of results
from this method is not straightforward, however its usefulness stems from the fact
that differences can be observed at a glance.
Chapter 5 Ultrasonic Signal Analysis
88
The results from the four cases are shown in Figure 5.6 (a-d).
(a) (b)
(c) (d)
Figure 5.6 Three Dimensional Analysis of signals from “Good”, “Bad and in between
bond quality corresponding to figure 3 (a-d)
This analytical format demonstrates the obvious differences between the ultrasonic
signals from fully bonded, Figure 5.6(a) to totally delaminated, Figure 5.6(d). The in
between cases, Figures 5.6(b) and (c), show a gradual shift in the region of stability
from one extreme to the other. Although the patterns have clearly changed with the
degree of delamination, it is not possible to classify each data set quantitatively that
differentiates between “Good” and “Bad” bonds.
Chapter 5 Ultrasonic Signal Analysis
89
5.3.5 State Space Chart
Visual recurrence analysis unfortunately does not give a unique numerical index to
represent the spatial distribution of the pattern and colour of such maps, which is also
demonstrated by the results of the State Space Chart shown in Figure 5.7 (a-d).
Here again, the variation is clearly visible between the cases of “Good” and “Bad”
bonds, Figures 5.7(a) and 5.7(d) respectively and although not quantitatively
differentiated, the potential of signal analysis to detect influencing parameters is just
as clear.
(a) (b)
(c) (d)
Figure 5.7 State Space plots of the ultrasonic signals shown in Figure 5.3 (a-d).
5.3.6 Wavelet Analysis
Another characteristic of a signal that is often used for analysis is its frequency
variation. Fast Fourier Transform (FFT) is the most commonly used technique in
analysing radio frequency signals. Although proven successful with other research,
as seen in section 4.33, it did not appear to be very successful for this research.
However since frequency is so important to the signal analysis, another method,
Chapter 5 Ultrasonic Signal Analysis
90
which is often compared to FFT, the Wavelet technique was considered. One
dimensional Wavelet analysis techniques have been particularly useful in analysing
sound wave signals and since ultrasonic signals share similar wave characteristics
with plain sound signals, the method is included in this exploratory exercise. The
MatlabTM Wavelet Toolbox was used in this investigation, where the same signals,
ranging from “Good” to “Bad” as in the previous cases, were analysed. The results
are shown in Figure 5.8.
(a)
(b)
(c)
(d)
Figure 5.8 Wavelet Analysis of signals from “Good” to “Bad bond quality corresponding
to figure 3 (a-d). The Haar, Level 5 wavelet was used.
Chapter 5 Ultrasonic Signal Analysis
91
The S-graph part of Figure 5.8 represents the ultrasonic signal as received from field
tests corresponding to the signals shown in Figure 5.3 (a-d). The ‘a5’ graph of Figure
5.8 shows the coefficients of the compressed signal using the Haar Wavelet
Transform, Level 5. Visual examination of the ‘a5’ part of Figure 5.8 a-d, shows
significant variation between the Wavelet coefficients graphs even though the original
signals show little difference in general shape and pattern. The magnitude of the
coefficients varies considerably as shown by the numerical values of the vertical
scale of the ‘a5’ graph. This scale varies between a range of 0.03 (0.001 to -0.002) in
the case of a “Good” bond to a range of 0.1 (0.04 to -0.06) in the case of “Bad” bond
which is at least 300% greater. Comparing the range variation shown by using
Wavelets to the variation of the original signal, which varies between 0.5 to -0.50 in
all cases, it is evident that there is a definite improvement in the detection of
variability between the “Good” and “Bad” adhesive bonds.
Since the Wavelet coefficients inherently carry the signature of the initial signal, it is
reasonable to assume that a method utilising these coefficients may lead to an
effective way to analyse the signal. Research in vibration analysis [Goumas et.al.,
2001] utilised the Wavelet coefficients as the selected feature to represent the
“feature Space” [Looney, 1997; Tate, 1996]. This research supported that these
coefficients retained a significant amount of features from the original signal to
enable reliable analysis.
The Wavelet Transform analysis was used in other research [Yang-Lijian et.al., 2001]
due to additional characteristics that offer useful tools in this area. Signal noise
reduction is one of these tools that was effectively used in this research to enable
detection of small variation in the signal. The ability to reduce noise interference
before analysing a signal, was also used to test the effectiveness of adhesio between
laminated parts [Weibin, 2004]. The researchers in this case, used the Wavelet
Transform to detect variation in the frequency of ultrasonic signal to determine the
quality of adhesion.
Further literature survey revealed that the Wavelet transform has also been used in
other NDT application using radio frequency signals. Flaw echo location [Liu, 2000,
Cavaccini, 2000] and processing of acoustic waves [Ma et.al., 2000]. All these
applications coupled with the experimental experiences from this research lead to the
Chapter 5 Ultrasonic Signal Analysis
92
conclusion that there is potential in using Wavelet analysis to improve adhesive bond
evaluation.
5.4 Conclusions
The objective of this chapter was to find a quantitative, statistical technique that was
best adapted to enable the analysis of Ultrasonic signals form adhesive bonds. A
number of techniques were evaluated and although most were able to detect
variations in signal characteristics it was difficult if not impossible to give a
quantitative classification that represented the quality of adhesive bonds. These
techniques were only able to give visual differentiation that is considered inadequate
for analysing signals in this application. However, the Wavelet Transform method
was capable of providing an output that showed excellent promise in quantitative
signal analysis. In this technique, a relatively small number of coefficients
representing the original signal with adequate accuracy were used for evaluation.
The small number of wavelet coefficients, inherently reduce the complexity in
analysing a radio frequency signal such as the Ultrasonic signal from adhesive bond
examination. It is therefore concluded that this technique deserves further
investigation in the evaluation of adhesive bond quality.
93
Chapter 6
Wavelet Analysis
6.1 Introduction
Ultrasonic techniques are extensively used in Non Destructive Testing. Due to their safe
and portable application, ultrasonic instruments have become very common in the
engineering industry. Utilization of adhesives has also become one of the emerging
technologies in engineering design. These two areas converge to a common
denominator when it comes to evaluating the quality of adhesive bonds as it has to be
done non destructively. Ultrasonic techniques have been utilized quite effectively in the
evaluation of adhesive bonds but are not yet considered adequate in this endeavour.
This chapter covers work on the utilization of Wavelet Analysis, theory and practice, in
developing techniques that vastly improve the ability of ultrasonic signals to evaluate
adhesive bond quality.
Wavelet methodology is by comparison a more recent technique in the area of signal
analysis that has been implemented in a number of areas but has been most successful
in data compression and denoising. Successful work using wavelets has led to image
compression [Usevitch, B. E., 2001, Zhang, et al, 1993], signal de-noising [Neville, 1998]
and image enhancement [Mao-Yu, et al, 2002]. All this is made possible by
decomposing the signal using wavelets and extracting the targeted information during
the process. The application of wavelets in this research is not very different as it aims
to extract information from ultrasonic signals to discriminate effectively between varying
levels of adhesive bond quality. Signals from adhesive bond tests will be decomposed
using wavelets while looking for special characteristics to quantitatively identify those
that do not meet the expected standards. The wavelet theory will be explored from its
basic principles to enable the discovery of such signal characteristics. These signal
characteristics will be tested on signals from ultrasonic tests to establish their
effectiveness on classifying adhesive bond quality.
Chapter 6 Wavelet Analysis
94
6.2 Wavelet Signal Analysis
The previous chapter explored a number of graphical, data analysis techniques to
identify potential methods in discriminating between the “Good” and “Bad” quality of
adhesive bonds. Almost all techniques introduced were able to differentiate between
different levels of adhesion quality; however the difficulty in applying them emerged from
the fact that that they were not able to produce a quantitative output to represent the
classification result. Graphically, it was quite clear that signal characteristics were able
to show adhesive bond quality variation but the measure of that variation was not clearly
quantitatively evaluated. However these preliminary tests also revealed that one of the
techniques tested, the Wavelet Signal Analysis, displayed excellent promise in
discriminating between different levels of adhesion quality quantitatively. In this
technique, the signal was reduced down to a series of coefficients that reflected a
distinct and measurable variation by their minimum to maximum graphical output. Figure
6.1 shows the results of preliminary wavelet analysis on four classes of bond quality from
the previous chapter while Figure 6.2 shows the same wavelet coefficients on a common
scale to highlight the discriminatory nature of wavelet analysis.
(a)
(b)
Chapter 6 Wavelet Analysis
95
(c)
(d)
Figure 6.1 Wavelet decomposition of signal S using Matlab software [Matlab]. Graphs show
the original signal and 16 coefficients from a 5 level Haar wavelet transform.
Graphs exclude the five levels of detail coefficients.
Wavelet coefficients
-0.4
-0.3
-0.2
-0.1
0
0.1
0.2
0.3
0 5 10 15 20
Good Bad Med4 Med7
Figure 6.2 Wavelet decomposition coefficients from a level 5 Haar wavelet transform.
Graphs exclude the five levels of detail coefficients.
Observation of Figure 6.2 confirms that the wavelet coefficients from the different types
of adhesive bond quality vary considerably from a “Good” to a “Bad” bond.
Chapter 6 Wavelet Analysis
96
Raw Data
-1
-0.5
0
0.5
1
1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52
Good Bad Med4 Med7
Figure 6.3 Normalized graph, -1 to +1 Volts, from ultrasonic tests on the four specimens
under investigation.
The advantage of Wavelet decomposition of the ultrasonic signal can be confirmed more
positively if Figure 6.2 is compared to Figure 6.3 where the latter shows the signal
graphed from the raw data. Discrimination between the signals which in turn reveal the
different levels of adhesion quality is very is poor as there is only mild discrimination
between them.
Having established that Wavelet decomposition of the ultrasonic signal improves the
discrimination factor between different levels of adhesion quality, it is now necessary to
find a quantitative index that can faithfully represent adhesion quality.
6.3 Wavelet theory
The basic notion of wavelet analysis will be explored here in an effort to identify the
characteristic feature(s) of this technique that may lead to clear discrimination between
different levels of adhesion quality. The Wavelet theory will be developed using the
Haar wavelet transform [Walker, 1999] as applied to discrete data.
Consider a signal, ‘f’, represented by its coefficients:
Chapter 6 Wavelet Analysis
97
f = (f1 , f2 , f3 ,. . ., fn) (6.1)
For clarification purposes, this discrete signal can be compared to a continuous, time
dependant analogue ‘g’ signal that is measured at time values of t = t1 , t2 , .., tn and
f1 = g(t1 ) , f2 = g(t2 ), . . . , fn = g(tn ) (6.2)
with uniform time intervals of same length.
The Haar transform is similar to other wavelet transforms in dividing a signal into two
subsignals, halving signal length at each level of decomposition. One subsignal is a
running average or trend, and the other half is the running difference or fluctuation.
The running average values are calculated by averaging running parts of discrete values
e.g. (f1 + f2 )/2, (f3 + f4 )/2 etc. and then multiplying the by 2 . A general equation
may be written as:
22)1(2 mm
m
ffa
+= −
(6.3)
The other sub-signal, the first fluctuation detail ‘d’ is calculated by the running difference
of the successive values e.g. (f1 - f2 )/2, (f3 - f4 )/2 etc. and then multiplying the by
2 . The general equation in this case may be written as:
22)1(2 mm
m
ffd
−= − (6.4)
Where m = 1, 2, 3, . . , N/2
Chapter 6 Wavelet Analysis
98
For example a discrete signal S, with values:
f = ( 8, 10, 6, 4, 6, 3, 7, 5 ) (6.5)
The first level signal decomposition coefficients can be calculated using Eqn (6.3) and
will have a running average, also known as “trend”, as shown below:
a1 = (9 2 , 5 2 , 4.5 2 , 6 2 ) (6.6)
This can be shown diagrammatically:
8 10 6 4 6 3 7 5
9 5 4.5 6
9 2 5 2 4.5 2 6 2
The running difference, also known as “detail” can also be calculated using eqn 6.4,
which will result in values:
d1 = ( - 2 , 2 , 1.5 2 , 2 )
This process is repeated on the running average values to produce several stages or
levels of the Haar transform. Mapping each of the levels can be defined by:
( )nnHn daf |⎯→⎯ (6.7)
where ‘a’ is the “trend” and ‘d’ is the “detail”
Using the values in the example, the decomposed signal can be written as:
Chapter 6 Wavelet Analysis
99
1 Level: (a1 | d1)
f = ( 8, 10, 6, 4, 6, 3, 7, 5 ) ⎯→⎯ 1H (9 2 , 5 2 , 4.5 2 , 6 2 | - 2 , 2 ,
1.5 2 , 2 ) (6.8)
2 Level: (a2 | d2 | d1)
(14, 10.5 | 4, -1.5 | - 2 , 2 , 1.5 2 , 2 )
3 Level: (a3 | d3 | d2 | d1 )
(12.25 2 | 1.25 2 | 4, -1.5 | - 2 , 2 , 1.5 2 , 2 )
Therefore a signal may be “decomposed” and represented with its coefficients by using
the Haar transform principle otherwise known as the Haar Wavelet transform. Other
transforms e.g. Daubechies, [Daubechies, 1990], Coiflet [Walker, 1999] wavelet
transforms, have also been devised with the sole aim of representing signals with less
data information which is generally termed as “Data Compression” [Brislawn, et al,
1996]. All these methods are also capable of reconstructing the original signal from its
coefficients by using an inversion algorithm that resembles the reverse activity of the
signal deconstruction method shown by Equations (6.3) and (6.4).
6.4 Wavelet Energy Conservation
The energy of a wavelet decomposed signal is defined as the sum of the squares of its
coefficients and is identified as “Total Energy”:
222
21 .... Nf fff +++=ε (6.9)
Chapter 6 Wavelet Analysis
100
This energy is reserved through each of the wavelet transform levels although the
coefficients may be less in each case. Even more importantly, when compared with the
energy of the original signal, the energy is accurately represented by the wavelet
coefficients. For example the energy of the original signal, S, Eqn (6.5) is:
3355.....108 222 =+++=Sε (6.10)
Using the values of the 1st level Haar wavelet transform coefficients shown in Eqn (6.8),
the Total Energy of the compressed signal will also be found to be 335. Another
interesting phenomenon in relation to the signal energy, the energy of the trend values
includes 96.87% of the original energy whereas the detail coefficients contains only
3.14%. Although not known of what significance is this information it is useful to be
aware it exists. Experimentation with higher level of decomposition proved that the Total
Energy of the signal was reserved at all levels assuming all Trend and Detail coefficients
were used in the calculation. However the ratio of energy content between the two
varied but in any case reserved more energy in the Trend coefficients than the Detail.
6.4.1 Wavelet energy of Ultrasonic signals
Using data from ultrasonic signals taken during experiments on varying degrees of
adhesion quality, also shown in Figure 1, a test will be carried out to examine the
applicability of “Total Energy” measurement for adhesive quality discrimination. Each of
the signals will be decomposed using the Matlab Wavelet Toolbox and its total energy
measured at different levels of decomposition. Daubechies 1 type of wavelet transform
was used in this analysis. A range of other Wavelet filters were empirically trialed and a
small group was selected for use in this research [Tewfik, et al, 1992, Reza, 1999].
Chapter 6 Wavelet Analysis
101
Original Ultrasonic signalTotal Energy: Good=1.88, Bad=6.35
-1
-0.5
0
0.5
1
1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64
Bad Good
(a)
Daub1, Level 1 coeff icientsTotal energy: Good=1.77, Bad=5.93
-1.5-1
-0.50
0.51
1.5
1 6 11 16 21 26 31
Bad Good
(b)
Daub1, Level 2 coeff icientsTotal energy: Good=1.44, Bad=4.6
-1
-0.5
0
0.5
1
1.5
2
1 3 5 7 9 11 13 15
Bad Good
(c)
Chapter 6 Wavelet Analysis
102
Daub1, Level 3 coeff icientsTotal energy: Good=0.77, Bad=1.53
-1
-0.5
0
0.5
1
1 2 3 4 5 6 7 8
Bad Good
(d)
Figure 6.4 Original signal and 3 levels of decomposition of ultrasonic signal from adhesive
bond quality tests. Total energy is recorded for “Good” and “Bad” bonds for
comparison.
Figure 6.4 shows the results of wavelet decomposition of the ultrasonic signal from two
levels of adhesive quality, “Good” and “Bad” the latter meaning total delamination while
the former refers to full contact. The energy of the initial signal is found to be 6.35 for the
bad bond while the good bond shows a value of 1.88. Level 1, wavelet decomposition
has 5.93 and 1.77 respective energy level for “bad” and “good” adhesive bonds. If
compared to the initial signal energy level there is little loss of energy and most
importantly it maintains the ratio between the two levels. However when referring to
subsequent levels of wavelet decomposition, the Total Energy value drops considerably
in relation to the initial signal while the maximum to minimum ratio also suffers
extensively in Level 3 decomposition. Therefore it may be concluded that the Wavelet
energy technique is capable of clear, quantitative discrimination between “Good” and
“Bad” bond quality.
6.5 Comparison with Traditional Techniques
The two most commonly used characteristics of the ultrasonic signal for detecting
variation are; Maximum Amplitude and Signal Decay rate [Goglio and Rosetto, 1999]. A
third feature that is also commonly used is the frequency signature of the signal through
an FFT evaluation [Bagnhammar, 1997]. The wavelet energy technique proposed in this
research depends primarily on the magnitude of the signal rather than its frequency
characteristic. This is based on work done earlier (Section 4.2) during the investigation
Chapter 6 Wavelet Analysis
103
of energy conservation in the ultrasonic signal with reference to adhesive bond quality.
It was proven that as the bond quality increases, so does the transmission of the signal
through it, which in turn leads to the conclusion that lower energy is reflected to the
ultrasonic receiver probe in a pulse / echo test. The magnitude of the returning signal is
also dependant on the reflected energy from the adhesive bond hence the justification of
the Maximum Amplitude. The Signal Decay technique is valid due to the fact that as the
ultrasonic signal reverberates within the adherent, more of its energy is transmitted
through the bond each time it returns to it resulting in signal decay that depends on bond
quality. The Wavelet energy technique introduced in this research also depends on
signal magnitude, but differs from the other two techniques as it utilizes data from the
“whole” signal rather than one or very few discrete measurements of the signal.
A set of ultrasonic test results from adhesive bond tests [Tavrou and Jones, 2003] will be
utilized to demonstrate the advantage of using wavelet analysis instead of Maximum
Amplitude or Signal Decay measurements.
The full length of one set of reverberating signal from an ultrasonic test on adhesive
bonding will be considered. The signal is shown in Figure 6.5.
-1.5
-1
-0.5
0
0.5
1
1.5
Figure 6.5 Full length of ultrasonic signal from adhesive bond test.
Signals from six locations with varying degree of adhesion quality were collected from a
purposely prepared specimen as shown if Figure 6. Locations 1,2 and 3 were classified
as “Good” quality bonds and 4,5 and 6 as “Bad” quality bonds.
Chapter 6 Wavelet Analysis
104
Figure 6.6 Ultrasonic C-scan results from a specimen with varying degrees of adhesion
quality.
The graphical results from these locations are displayed in Figure 6.7. All signals were
superimposed on the same scale which highlights clearly the difficulty of discriminating
between the different signals.
-1.5
-1
-0.5
0
0.5
1
1.5
Figure 6.7 Full length of ultrasonic signal from all six locations with varying degrees of
adhesion quality.
An encouraging outcome however, is the fact that all signals have the same pattern as it
means that one feature can represent the whole signal. Focusing on one cycle will also
confirm that this is the case as shown in Figure 6.8. Here again, as it can be seen from
this graph, the discrimination between the different categories of adhesion is poor.
Chapter 6 Wavelet Analysis
105
-1.2-1
-0.8-0.6-0.4-0.2
00.20.40.60.8
1
1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52
6
5
4
3
2
1
Figure 6.8 Graph from one cycle of the ultrasonic signal from all six locations with varying
degrees of adhesion quality.
However, if the two extremes, signals from “Good” and “Bad” adhesion locations, are
considered, shown in Figure 6.9, there is clear discrimination between them. The latter
observation confirms that the “Maximum Amplitude” and “Signal Decay” methods are
valid and capable of discriminating between the two extremes but not as effective in
discriminating signals from in-between cases.
-1.2-1
-0.8-0.6-0.4-0.2
00.20.40.60.8
1
Figure 6.9 Ultrasonic signal result from a “Good” and a “Bad” adhesive bond.
Maximum values from each cycle were selected to determine how ultrasonic signals,
from varying degrees of adhesion, behave in relation to each other. Figure 6.10 shows
the six cases relating to the locations given in Figure 6.6. Results from locations 4,5 and
6 that come from varying degrees of delamination, “Bad” bonds, reveal clear
differentiation between each case. Results from “Good” bonds on the other hand show
Chapter 6 Wavelet Analysis
106
some degree of differentiation within the first 3 cycles but subsequently overlap showing
little or no difference.
Figure 6.10 Maximum amplitude values of first 10 cycles from Ultrasonic test of adhesive
bond with varying degrees of adhesion quality, 1-best, 6-worst.
The same data was used with the Wavelet method to demonstrate its ability to
differentiate between the different levels of adhesion quality. Figure 6.11 shows
graphical results comparable to those of Figure 6.10. The difference of course is that in
the first case, the Maximum Amplitude method is used whereas in the second the Total
Energy using Wavelet analysis was used. The graphs reveal a distinct similarity
between them which confirms that the data is not disturbed, however the difference to be
noticed is the scale of the two graphs. From a 0-1 units scale it has been expanded to a
0-7 unit scale. Although the curves have also moved accordingly, the move is
disproportional to the scale magnification especially when comparing increases between
the two extremes of bond quality. Considering the difference between the worst case
scenario, the ratio has changed from 1.86 when using the Maximum Amplitude value to
3.21 when using the Total Energy value which is a 72.6% improvement on the existing
method under these conditions. There are even better results toward the end of the
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
6 0.82 0.71 0.67 0.6 0.57 0.54 0.50 0.46 0.42 0.38 5 0.71 0.63 0.57 0.53 0.48 0.46 0.41 0.39 0.35 0.34 4 0.55 0.48 0.46 0.39 0.36 0.33 0.28 0.28 0.23 0.24 3 0.52 0.37 0.31 0.22 0.20 0.15 0.10 0.10 0.07 0.07 2 0.47 0.35 0.28 0.22 0.18 0.16 0.12 0.10 0.07 0.06 1 0.43 0.34 0.29 0.22 0.20 0.16 0.11 0.10 0.07 0.07
1 2 3 4 5 6 7 8 9 10
Chapter 6 Wavelet Analysis
107
scale, in cycle 10, where the signal from a “Bad” bond is 30 times larger than a “Good”
bond compared to a factor of 5 with the existing method. However the latter does not
give as good differentiation between the different grades of “Bad” bonds.
0.00
1.00
2.00
3.00
4.00
5.00
6.00
7.00
6 6.10 5.22 4.34 3.71 3.16 2.81 2.42 2.12 1.78 1.54
5 4.70 3.94 3.22 2.71 2.27 1.99 1.69 1.46 1.22 1.02
4 3.06 2.50 1.98 1.63 1.33 1.14 0.95 0.81 0.68 0.57
3 2.73 1.72 1.04 0.63 0.40 0.26 0.17 0.11 0.07 0.05
2 2.11 1.32 0.80 0.52 0.34 0.24 0.16 0.11 0.07 0.05
1 1.90 1.30 0.84 0.56 0.37 0.26 0.18 0.12 0.09 0.07
1 2 3 4 5 6 7 8 9 10
Figure 6.11 Total Energy values of the first 10 individual cycles from Ultrasonic test of
adhesive bond with varying degree of adhesion quality, 1-best, 6-worst.
As shown by both graphs, Figures 6.10 and 6.11, discrimination between varying
degrees of bond quality varies with each cycle. It is therefore pertinent that the correct
cycle is selected for maximum effect. In this case, both methods show that the first
reverberation cycle of ultrasonic signal within the adherent gives the highest level of
discrimination.
In addition to selecting an individual cycle however, the Total Energy method allows
selection of more than one cycle or even the whole signal for its calculation. Figure 6.12
shows the discrimination capabilities of selecting more than one reverberation cycle. As
it can be seen from here, the range between the two extremes has increased by 500%.
It is therefore concluded that if more of the signal is analyzed by the Wavelet method,
the better the result will be.
Chapter 6 Wavelet Analysis
108
0.00
5.00
10.00
15.00
20.00
25.00
30.00
35.00
6 6.10 11.32 15.65 19.36 22.52 25.33 27.75 29.87 31.65 33.19
5 4.70 8.64 11.86 14.57 16.84 18.83 20.52 21.99 23.21 24.23
4 3.06 5.56 7.54 9.17 10.50 11.65 12.59 13.40 14.08 14.65
3 2.73 4.45 5.49 6.12 6.53 6.79 6.96 7.07 7.14 7.18
2 2.11 3.43 4.23 4.75 5.09 5.34 5.50 5.60 5.67 5.72
1 1.90 3.20 4.04 4.60 4.97 5.23 5.41 5.54 5.62 5.69
1 2 3 4 5 6 7 8 9 10
Figure 6.12 Total Energy values of progressively longer signal from 1 to 10 cycles. The
signal comes from an Ultrasonic test of adhesive bond with varying degree of
adhesion quality, 1-best, 6-worst.
6.6 Noise reduction using Wavelets
More often than not, signals from ultrasonic tests are not as clearly defined as those
used in the analysis above, they would normally contain some noise that may interfere
with calculations. Of particular interest to this research is that the Total Energy method
introduced above may suffer extensively from the presence of noise in the signals under
investigation. By its nature, this technique includes a measure of each element of the
signal which in itself is desirable; however features that come from sources other than
the adhesive, bond interfere with the accuracy of the result. It is therefore necessary to
identify and remove interfering contents of the signal that come from unrelated sources.
One such signal is shown in Figure 6.13 where extensive noise is present in the
ultrasonic signal from an adhesive bond test.
Chapter 6 Wavelet Analysis
109
Signal filtering techniques mainly use the Fourier transform to eliminate undesirable
noise from a signal. The Wavelet transform is also capable of noise filtering that is
based on time dependant, signal variation rather than its frequency. The Wavelet
technique is preferred in this case as it is already utilized in calculating the Total Energy
bond quality index. It is therefore possible to have a two step Wavelet transform process
that can eliminate noise from the signal followed by Wavelet coefficient extraction and
Total Energy calculation. This would certainly make it more efficient as software and
data format compatibility can be accommodated in the same package.
-1.5
-1
-0.5
0
0.5
1
1.5
Figure 6.13 Ultrasonic signal from tests on adhesively bonded specimen that shows
extensive noise interference.
As shown in Figure 6.13, the type of noise in this case is additive to the signal that
results in distorted outcome. This can be represented by simple relationship:
(contaminated signal) = (original signal) + (noise) (6.11)
The equation can be re written using ‘f’ for contaminated signal, ‘s’ for original signal
and ‘n’ for additive noise as:
f = s + n (6.12)
Chapter 6 Wavelet Analysis
110
The basic premise used in Wavelet transform for the removal of noise makes two
assumptions [Walker, 1999]:
1. The energy of the original signal ‘s’ is effectively captured, to a high percentage,
by transform values whose magnitudes are all greater than a threshold Ts > 0.
2. The noise signal’s transform values all have magnitudes which lie below a noise
threshold Tn satisfying Tn < Ts.
Then the noise in ‘f’ can subsequently be removed by placing a threshold in its
transform where all values of its transform with magnitudes below the noise threshold,
‘Tn’ are set equal to 0. Application of an inverse Wavelet transform can restore the
original signal without the noise to provide a ‘clean’ signal for analysis.
Considering the signal shown in Figure 6.13 as an example, a Wavelet based noise
elimination process using Matlab, Haar 8, transform has resulted in the signal shown in
Figure 6.14.
Figure 6.14 Ultrasonic signal shown in Figure 6.13 with noise removed using Wavelet
transform technique.
Chapter 6 Wavelet Analysis
111
As it can be seen that removal of noise from the signal was very effective. However
there is doubt about the loss of useful signal that may affect the Total Energy signal
calculation that is used for classifying the quality of the adhesive bond. A simple test will
be carried out to establish the validity of noise reduction without affecting the effective
signal. The test will:
• Use a signal with known, controlled values
• Introduce noise with known dimensions to the original signal
• Remove the noise using the Wavelet transform
• Compare original signal with noise removed signal
The original signal was made up of step values for clear visualization of noise
introduced.
Figure 6.15 Step type signal used in demonstrating the effectiveness of using Wavelet
transform to remove noise.
The noise introduced was produced by random numbers between -0.05 to 0.05.
Chapter 6 Wavelet Analysis
112
Figure 6.16 Manufactured noise signal between values -0.05 and 0.05.
The noise was added to the original signal which resulted in the signal shown in Figure
6.17.
Figure 6.17 Original signal with added noise.
The Haar 8 transform was used within Matlab software to remove the noise from the
original signal. The results are as shown in Figure 6.17.
Chapter 6 Wavelet Analysis
113
Figure 6.18 Original signal with noise removed using Haar 8 transform in Matlab software.
Noise has been removed from the original signal effectively although it shows slightly a
deformed signal in comparison to the original, step type signal. Figure 6.19 shows the
original, noisy and de-noised signal on the same graph for comparison. As it can be
seen the de-noised signal follows the trend of the original signal as well as having similar
magnitude. There is a difference which will be tested by calculating the Total Energy of
the signal before and after noise removal. The Total Energy of the original signal was
higher than that of the de-noised signal by 13%. The difference is of significance if view
in an absolute term however in this case since the objective is to have a relative variation
assessment of the signal from bonds with varying degree of quality, it is not as
detrimental. In any case the effect of using different Wavelet transforms will be
examined to assess their influence on the accuracy of the result.
Chapter 6 Wavelet Analysis
114
Figure 6.19 Original, noisy and de-noised signals shown on the same scale for comparison.
Wavelet transform Haar 5 was used for de-noising.
Figure 6.20 shows the results from two different Wavelet transforms, Haar 5 and Coif 5,
of a typical ultrasonic signal collected from a field test on adhesive bond quality. The
graphical results show clearly that there are similarities between the signals but there are
also distinct differences. For the purpose of this research, the ability of the de-noising
technique to retain the Total Energy of the original signal is of primary importance and in
this case it was calculated to be 6.07 from the Haar 5 transform and 6.00 from the Coif 5
transform. Compared to the Total Energy of the original signal which was 6.11, the Haar
5 transform resulted in 0.6% difference and the Coif 5 transform 1.8% difference
indicating that the Haar 5 transform should be used for better accuracy. This
comparison is also shown graphically in Figures 6.21 and 6.22.
Figure 6.20 De-noised signal using Haar 5 and Coif 5 Wavelet transforms
Chapter 6 Wavelet Analysis
115
Figure 6.21 Signal including noise and de-noised signal using Haar 5 Wavelet transform
Figure 6.22 Signal including noise and de-noised signal using Coif 5 Wavelet transform
What has been shown here is that Wavelet transform de-noising of a signal is possible
and within acceptable accuracy limits.
6.7 Data compression
Ultrasonic signals inherently contain large digital data sets that in turn require substantial
computer memory if the whole signal from each test location is to be stored. Because of
this reason, data from a small part of the signal is stored, and in some cases only one
value, the maximum amplitude. Although adequate in evaluating minimum aspects of
Chapter 6 Wavelet Analysis
116
the signal, if further analysis or investigation of a signal is required at a later stage there
is not enough information. Wavelet transform analysis has been known to compress
data to smaller computer file sizes while preserving adequate detail of the signal. The
capability of Wavelet data compression will be tested here to evaluate its applicability to
ultrasonic signals from adhesive bonds.
Figure 6.23 Typical ultrasonic signal form adhesive bond used to investigate the capability of
Wavelet transform to compress data files from tests in this area.
Using the same signal as used to test the ability of Wavelet transform to de-noise an
ultrasonic signal, shown in Figure 6.23, data compression will also be investigated. The
test signal is highly affected by noise resulting in extensive data content that not only
interferes with the evaluation of the adhesive bond but also presents another problem
due to the increased data size. The signal was compressed using the Haar 5 transform
within the Matlab software and the result is shown in Figure 6.24.
Chapter 6 Wavelet Analysis
117
Figure 6.24 Result of using the Wavelet transform to compress the ultrasonic signal shown in
Figure 6.23.
As shown earlier in this chapter, compression of a signal by using the Wavelet transform,
results in breaking down, decomposing, a signal to a series of coefficients. The process
of decomposition results in having an increasing number of coefficients with zero or near
zero values within each level. Equating all these small values, below a user defined
threshold, and removing them from the data, reduces the size of the file with limited
effect on the original signal. The effect of compressing signals with the Wavelet
transform can be measured in terms of loss of signal energy due to the elimination of the
zero values. A histogram based on zero and non-zero coefficients gives a clear picture
of the zero removal on the signal energy, shown in Figure 6.25. Higher zero coefficient
removal results in greater compression but not without first affecting the quality of the
signal representation. The cross over point is regarded as the optimal, threshold level of
decomposition.
Chapter 6 Wavelet Analysis
118
Figure 6.25 Signal energy retained after removal of zero coefficients during the data
compression process using the Wavelet transform. These results refer to the
signal shown in figures 6.23 and 6.24.
6.8 Data de-noising and compression
One of the advantages of using the Wavelet transform for ultrasonic signal analysis is
because it is capable of various operations on signals that may otherwise require
unrelated and independent analyses. For example de-noising is normally done using
the Fourier Transform separate the different signal frequencies and eliminate those
above or below as predefined threshold. However the Fourier Transform cannot
compress the signal, something that is possible in the case of Wavelet transform. The
latter is capable of de-noising as signal first then followed by signal compression or other
operations such as in this case calculation of the Total Energy of the signal. The signal
shown in Figure 6.23 was used to demonstrate the ability of the Wavelet transform in de-
noising and compressing an ultrasonic signal. The results are presented in Figure 6.26.
Chapter 6 Wavelet Analysis
119
Figure 6.26 De-noised and compressed signal of Figure 6.23, using the Haar 5 Wavelet
transform.
The de-noised and compressed signal has clearly kept its main elements while
eliminating the excess information (noise) that interferes with data analysis. The amount
of data has also reduced through this process as it can be seen by the large regions of
zero or near zero values. Wavelet analysis is well suited to ultrasonic testing as it allows
the user to decide the level of data compression and noise reduction for optimized
results.
6.9 Conclusion
Based on the experiments done in this chapter it was evident that the application of
Wavelet Transform in the evaluation of adhesive bond quality, offers a number
advantages over existing techniques used for the same purpose. Maximum amplitude
measurement, signal decay and frequency analysis are all techniques currently in use
for ultrasonic signal analysis. These techniques have also been applied in the
evaluation of adhesive bonds. Research has shown that each of these techniques has
been successful to a certain degree but more is needed in this area of research as
adhesive bond evaluation is far from satisfactory as it is at present.
The Wavelet Transform analysis was selected after an explorational exercise on
statistical and graphical tools for analyzing ultrasonic signals. It was selected as it
Chapter 6 Wavelet Analysis
120
showed promise in representing a complex ultrasonic signal with a much reduced
number of coefficients. These coefficients were able to conserve the integrity of the
original signal accurately as proven by reverse transformation to its initial state.
The research for an index to reflect adhesive bond quality was successful when the
“Total Energy” of the Wavelet Coefficients correlated accurately with the quality of
adhesion. This index was proved to be more successful than the existing techniques as
it represented the whole signal rather than one characteristic such as the Maximum
Amplitude or a short part of the signal to determine the signal decay. In addition, this
index gave a wider spectrum between the two extreme conditions of adhesion, bonded
and delaminated, that can be translated to a refinement capable of detecting conditions
between these two extremes more accurately.
The Wavelet Transform offered additional advantages that further confirmed their
suitability in the application of adhesive bond evaluation using ultrasonic, non destructive
testing. This technique is capable of removing unwanted noise from the signal to enable
a more accurate result. It is also capable of compressing the original signal to a lower
computer memory size that subsequently enables archiving ultrasonic signals in a
compressed form that can later be recovered from further analysis.
This chapter has shown quite clearly that the use of Wavelet Transform analysis offers
an improved tool in the analysis of ultrasonic signals, for the purpose of adhesive bond
quality evaluation, in comparison with the existing methods of Maximum Amplitude,
Frequency Analysis and Signal Decay.
121
Chapter 7
Industrial applications
7.1 Introduction
Work in this research was focused at increasing the reliability in testing adhesive
bonds non-destructively. Experiments using a number of established techniques,
based on Ultrasonic signals, were explored as a means of establishing a base from
where new approaches could be explored. The selection of a range of techniques
was primarily justified by their extensive use in industry. New techniques were also
trialled with the aim of either introducing new technology or enhancing existing
methods. One of the techniques researched was based on stress distribution in the
adhesive and adherent due to adhesive forces and the use of ultrasonic signal to
detect the variation of these stresses. Another line of research followed, was the
analysis of ultrasonic signals using graphical techniques. Several conventional and
non-traditional graphical techniques were used that showed some promise, however
the technique that had shown the best results was based on the Wavelet Transform.
Experimentation using this technique showed that higher resolution could be
achieved in detecting defects in adhesive bond. The Wavelet Transform is capable
of decomposing the ultrasonic signal down to a smaller number of coefficients that
are subsequently used to determine bond quality. A number of specimens with
known defects were prepared and tested using traditional, analytical techniques in
contrast to the proposed Wavelet Transform based technique. Similar tests were
repeated with specimens prepared elsewhere and tested in our laboratory without
knowledge of the type and size of the defects. Contact with three relevant industries
was kept throughout this project, Orbseal Adhesives, Ford Motor Company and
Hawker De Havilland Aerospace from where feedback was sought to confirm
applicability of this research to each of these areas.
Work with industry partners revealed that although automated equipment is generally
utilised for large areas, when it comes to specific area or point detection, smaller
devices are used. Two devices [MAUS IV, BaNDIcoot FAQ] used for this purpose
which are also typical for this purpose were considered to determine whether the
Wavelet Transform technique developed in this research was applicable. A new
device is also proposed that determines the quality of the bond at a particular
location without the need to have constant location tracking.
Chapter 7 Industrial applications
122
7.2 Orbseal
Collaboration with laboratory staff from Orbseal Adhesives [Humphreys, 2003], lead
to having a number of adhesively bonded specimens with unknown defects prepared,
and provided for testing at our university laboratory [Swinburne]. All specimens were
processed through Ultrasonic c-scans and the data kept in a neutral format for further
investigation. The data collected was analysed by both the Maximum Amplitude
method as well as by an approximation method of the Wavelet Transform technique.
The approximation technique was necessary for the latter as the equipment used did
not have data processors based on the Wavelet Transform.
7.2.1 Test results
The result from the ultrasonic c-scan on one of the samples provided is shown in
Figure 7.1(a) from Maximum Amplitude technique and (b) from the Wavelet
Transform approximation technique. The results from the complete set of specimens
are included in Appendix C. Comparison between Figures 7(a) and (b) shows
several characteristics that demonstrate the advantage of the Wavelet Transform
approximation compared to the existing Maximum Amplitude technique. Considering
that the c-scan pattern follows the rainbow colour scale below it, Figure 7(a) shows a
much flatter result structure with reduced capability to identify the defect area. Figure
7(b) on the other hand reveals a much more definite discrimination of the defect. The
top right hand corner of the specimen is clearly shown to include a defective area in
the adhesive bond. This corresponds with conclusions drawn in Chapter 6 of this
thesis where it is stated that the discrimination capabilities of the proposed technique
are much higher than existing techniques.
Considering the data histogram shown below the main display of the c-scan it is
evident that the proposed technique has a more definite discrimination between the
different states of the adhesive / adherent bond interface. Figure 7(a), which is
based on the existing technique of Maximum Amplitude, shows a very wide range in
the data dispersion the signal histogram while Figure 7(b) that represents the results
from the Wavelet transform approximation technique, shows a much higher data
concentration in the rainbow histogram. As a result, a highly discrete determination
of the defect is achieved which in this case is in the top right hand corner of the
specimen.
Chapter 7 Industrial applications
123
(a)
(b)
Figure 7.1 Results from c-scan test on one specimen with blind defects in the adhesive bond interface; (a) showing c-scan results using the Maximum Amplitude method while (b) shows the results from the RMS processing technique. The latter is used as an approximation of the Maximum Energy technique developed in this research.
7.3 Hawker De Havilland
This company (Melbourne, Australia) manufactures laminated aircraft components
that undergo extensive Non Destructive Testing (NDT) due to the high reliability
requirements. The testing techniques used currently are based on Ultrasonic signals
Chapter 7 Industrial applications
124
and X-Ray radiation. The Ultrasonic tests are done using a variety of approaches,
manual, semiautomatic, submerged and water jet coupling. Figure 7.2 shows the
testing facilities at this company. Due to the nature of the product, components
under investigation can be up to five meters in length and two meters wide and are
tested either using pulse echo or through signals techniques depending on the type
and size of the part to be tested. Because of the large size of these components, it is
often not practical or too expensive to use X-Ray radiation which would in most
cases be satisfactory. On the other hand, ultrasonic testing may be effective in most
cases but in some it may not be sensitive enough to give the detail of a defect or
detect small defects. In particular, porous defects in the adhesive may often be
missed altogether or if detected, they are difficult to analyse. Therefore, parts are
initially tested using Ultrasonic signals to determine the existence and location of
defects, followed by manual or semiautomatic Ultrasonic testing or in some cases re-
tested using X-Ray radiation, for further analysis and classification of the defects.
The latter is particularly necessary in the case of porous defects.
Figure 7.2 Ultrasonic equipment facilities used for testing adhesively bonded aircraft components.
Ultrasonic testing is therefore utilised for initial examination, as its ability to reveal
defect details is not adequate in this application due to the large areas under test.
The enhanced discriminatory power of the technique proposed in this research, can
provide added advantages over what is currently used for evaluating the adhesive
bond quality. As proven in Chapter 6 of this thesis, the “Total Energy” index is
capable of discriminating more clearly the difference between varying bond quality in
comparison to the “Maximum Amplitude” index which is the technique used at
present. As shown in the same chapter, the proposed technique is capable of
Chapter 7 Industrial applications
125
expanding the range between the extremes of totally bonded vs totally delaminated
bonds, by tenfold. Such an improvement offers two advantages in this application,
firstly, defects not detectable with the existing technique will be brought to light and
secondly, defects that needed further investigation may be fully evaluated at this
stage. These advantages offer significant benefits both in time and cost but more
significantly by reducing risks associated with the use of X-Ray radiation.
The proposed, Wavelet Transform, technique offers further advantages in the area of
Ultrasonic testing. Signal analysis in this area is often impeded by the irregularity of
the signals due to noise that interferes both with the energy of the signal as well as it
frequency composition. Existing methods of noise filtering are based on frequency
analysis which essentially ignores frequencies considered to be outside the bounds
of expected results. The Wavelet Transform on the other hand is capable not only of
filtering signals with unexpected frequencies but also removing the energy
associated with these frequencies. This aspect was of specific importance to the
proposed technique as its validity is based on accurate measurement of signal
energy reflected from the defect rather than adjacent secondary effects.
Due to the large areas under test, small steps in c-scan tests result in large data files
that are difficult to archive due to computer memory requirements. Archiving of
complete signals rather than the “Maximum Amplitude” value, offers great
advantages in subsequent analysis of areas of parts involved in failure. The
proposed Wavelet Transform technique enables data compression that has the
potential to overcome this problem. Signals can be compressed by wavelet
transforms that result in a reduced number of signal coefficients that can reproduce
the signal at a later stage if required.
7.4 Hand held Ultrasonic tester
Hand held Ultrasonic testing devices have been the subject of research for some
years owing to the necessity of couplant for effective use. Duplication of scanning
rigs to produce c-scans on a portable scale has been difficult not only due to the
necessity of couplant but also due to the need to have locating sensors that can
record coordinates from a reference point. Often such devices are used in addition
to large scale Ultrasonic testing rigs to enable closer examination of areas that are
considered to have spurious results. As mentioned earlier, in Section 7.3, tests on
Chapter 7 Industrial applications
126
large aircraft components are initially tested on large rigs with subsequent testing of
smaller areas if required.
7.4.1 MAUS IV
The hand held equipment used, shown in Figure 7.3. This device is capable of
recording the location of the transducer thus enabling a c-scan of the area.
Figure 7.3 Portable Ultrasonic equipment [MAUS IV] used for testing small areas on
adhesively bonded aircraft components.
7.4.2 BaNDIcoot FAQ
Similar equipment researched [BaNDIcoot FAQ] in an effort to determine the
suitability of the developed technique. Although not trialled it is believed that it will be
easily applicable as the data collected by these devices are in the form of A-scans
which are similar to those utilised in developing the “Maximum Energy” analyser.
Figure 7.4 Portable Ultrasonic equipment [BaNDIcoot FAQ] developed for c-scan ultrasonic capabilities by CSIRO, Australia.
Chapter 7 Industrial applications
127
7.4.3 Discrete Ultrasonic tester
An ultrasonic tester was also conceptually designed [Lee, 2004] as a result of this
research using a completely different approach thus not requiring coordinate
tracking. It is based on the principle that discrete points on the surface under
investigation would be examined and that the instrument would be capable of giving
an output to indicate whether the bonding falls within the specified limits of adhesion
quality. The device is shown in Figure 7.5.
Figure 7.5 Conceptual design of portable ultrasonic tester [Lee, 2004].
Special features of this design are it’s capability to locate the transducer
perpendicular to the surface under test. Three sensors at the bottom of the device
light up a blue light on the device when perpendicularity is achieved. At that
instance, a button can be depressed to take a measurement. A green and a red light
on the device would subsequently be lit to indicate whether bonding is within
acceptable limits. Manual mapping of all the results can reveal the state of a larger
area without the need of displacement tracking devices. The electrical and electronic
circuitry is self sufficient with only the ultrasonic probe requiring to be connected to
an external device, Figure 7.6. The device is adaptable to enable use of existing
ultrasonic testing equipment however software needs to be developed to enable
calculations using the Wavelet Transform. Results based on the “Total Energy”
calculations are fed back to the instrument light indicators for quality assessment.
Chapter 7 Industrial applications
128
Figure 7.6 Electrical / Electronic assembly of portable ultrasonic tester [Lee, 2004].
7.5 Ford Motor Company
The application of this research was also discussed at Ford Motor Company,
Melbourne, Australia where possibilities of implementing the developed technique
were evaluated. Like other automotive manufacturers this company is no exemption
from making extensive use of adhesives in the manufacture of vehicles. However,
the use of adhesives in the manufacture of cars does not appear to be as extensive
as in the case of aircraft manufacture. In this case, adhesives are primarily used
where no major load bearing members are concerned or used in combination with
spot welding either for dampening vibration or in places hard to reach by the spot
welding robots. Their use would be substantially greater if reliable, non destructive
testing techniques were available. In this research, ultrasonic testing techniques
were considered only however there is extensive research using other thechniques in
this endeavour [Zweschper et al, 2003, Turler, et al, 1999].
Discussions lead to the conclusion that although work in this research was relevant
and useful, several major practical issues were presented that would make its
application very difficult. Firstly the base of the Ultrasonic tester designed was too
large to be applied to the non flat surfaces of automotive components which in
contrast to the large, flat nature of aerospace parts, they are almost in all cases at a
curvature. Figure 7.7 shows a typical, internal panel of an automobile with the
adhesive applied at the bottom end of the part.
Chapter 7 Industrial applications
129
Figure 7.7 Internal automobile panel showing the adhesive applied before assembly and curing.
Other issues such as accessibility to adhered areas after curing were in most cases
impossible as they were internal with air gaps that prevented ultrasonic signal
propagation. Coupling techniques such as water bath and water jet that are
extensively used for aircraft parts could not be applied in this case, as most parts
were made of steel rather than aluminium and fibre structures used for aircraft.
Testing in this area requires further work in designing suitable fixtures to enable
ultrasonic probes to be positioned appropriately. The pulse echo technique used in
this research makes it easier to achieve such measurements. Such problems were
also highlighted by other researchers where techniques used for adhesive bond
inspection in the aerospace industry are not suitable for automotive applications
[Allin, 2002].
7.6 Conclusion
Work done in this research was tested against the needs of industrial applications. In
particular, the aircraft and automobile industries were considered that were included
in the main aims of this research. Constant contact with engineers from these
industries influenced the direction of the research towards relevant needs. Most of
the experimental work was done using adhesives and adherents that are common to
the automotive industry. Contact with suppliers of structural adhesives to the Ford
motor company provided all the adhesives used in this research. Results were
shared with this supplier and confirmation of the developed testing technique
occurred in the latter stages of the research. The developed technique, “Total
Energy” measurement, was found to be most beneficial to the aircraft industry. The
Chapter 7 Industrial applications
130
developed technique increased the sensitivity of ultrasonic c-scans that has the
potential to increase the resolution of results from large aircraft components. In
addition to the increased resolution of measurement, the developed technique also
offers data compression. Due to the large sizes of components, results from
ultrasonic tests in the aircraft industry are mainly restricted to one value per discrete
location tested, eg Maximum Amplitude of the A-scan. The developed technique,
due to its ability to compress the signal using the Wavelet Transform, will be able to
save the entire A-scan signal from each location tested. This has tremendous
advantages over existing techniques as aircraft go through regular testing and
maintenance procedures to fulfil extremely high reliability requirements. Using the
entire signature of the signals can be used for comparison with previous tests that
can lead to more reliable conclusions. This last part of the project was a very brief
report of industry involvement in this research that merely highlights the applications
of the developed technique but in reality a much higher collaboration took place
through visits to industry and other forms of regular communication.
131
Chapter 8
Conclusion
8.1 Introduction
The topic of adhesive bond evaluation has been extensively research as shown by the
literature survey done in this project. Various principal, non destructive techniques such
as X ray, thermography, laser and ultrasonic have been used in the endeavour of
reliably identifying the quality of an adhesively bonded area. Each of these techniques
showed some degree of success, although none has yet claimed total bond quality
evaluation with reliable outcomes on the strength of a bond, fatigue characteristics,
dynamic behaviour and failure modes. Nevertheless, these techniques proved they
were capable of outcomes that can reliably identify defects such as inclusions and voids
within the adhesive and at the interface.
The research in this project has concentrated on improving the reliability of adhesive
bond evaluation by trialling a new technique based on stress distribution analysis, as
well as the application of Wavelet Transform analysis of Ultrasonic signals.
8.2 Non-Destructive testing techniques
The research commenced by a comprehensive study of existing, non-destructive
evaluation techniques, in the area of adhesive bond evaluation. X-ray tests on adhesive
bonds can identify medium density variations that in the case of adhesive bond
evaluation reveal disbonds, inclusions and voids in the adhesive. Density variation in
the latter can also be detected by this technique that reveals variations in the curing
process of the adhesive. This is considered to be a good technique, as all the variables
tested provide a quality index that, to a certain degree can discriminate “Good” from
“Bad” adhesive bonds. However, this method is not without its drawbacks. X-ray
radiation is a dangerous medium to work with, requiring highly specialised equipment
and recording media that make it most suitable for small to medium size work that
enables access on both sides of the tested area. In many cases, such as large
Chapter 8 Conclusion
132
laminated areas, aircraft components, or in situ testing of vehicle components, render
this technique unsuitable. Thermography was another technique found in the literature
that offered promise in evaluating the quality of adhesive bonds [Zweschper et al, 2003,
Turler, et al, 1999].
However, the most commonly used techniques in evaluating the quality of adhesive
bonds used ultrasonic signals. These were emitted by a probe capable of ultrasonic
frequencies and were received by a similar probe capable of receiving the signal after it
has travelled through the material or at a transverse direction. The characteristics of the
received signal were used to evaluate the quality of the adhesive bond.
This technique proved to be the most commonly used technique as it offered a
comparatively reliable method of detecting variation in the properties of the material
tested. This was done primarily by detecting variation in the attenuation of the signal, its
frequency composition and time of travel. However, this technique also has its
drawbacks of which the most prevalent is its inability ot test products without the use of a
couplant between the surface to be tested and the ultrasonic probe. Research to
overcome this difficulty has led to the design of liquid filled wheels housing the ultrasonic
probe or using lower frequency signal that can travel in free air. Other research utilise
laser and microwave signals to carry the ultrasonic signals through air. However using
couplant, in most cases water, is currently the most reliable and most common
Ultrasonic technique in use.
8.3 Adhesion and adhesives
A comprehensive study of the adhesion process was carred out during this project to
enable understanding of the mechanisms of adhesion. Such understanding was
essential in searching for a reliable technique to evaluate adhesive bonds. As shown,
there are a number of mechanism at play in the adhesion process, i.e. interlocking,
diffusion, electronic and absorption. The prime element for effective adhesion was
intimate contact between adherent and adhesive. Therefore, surface preparation and
adhesive dispersion are important elements in achieving adhesive bonding.
Chapter 8 Conclusion
133
As the research in this project was aimed at automotive and aerospace applications, it
was of primary importance to refer to structural adhesives. A literature survey has
revealed an extensive selection of structural adhesives that offered a variety of qualities
in temperature tolerance, ultra-violet and infra-red radiation tolerance, flexibility,
resistance to oxidation, and others. Knowledge in this area enabled the selection of a
suitable adhesive for this project, one part Epoxy adhesive that is currently used
extensively in the manufacture of vehicles.
8.3.1 Preliminary tests
All work to this stage of the project was aimed at building knowledge about the adhesion
process and the techniques currently used for non-destructive testing of adhesive bonds.
However destructive tests were also essential in our endeavour to improve the reliability
of non destructively testing adhesive bonds. Literature survey in testing procedures for
adhesive bonds had shown that a commonly used test in adhesive bonds is the “Shear
Lap” test as prescribed by the American Society of Testing and Materials Standard
(ASTM). Following this standard, a number of specimens were prepared using structural
adhesive to test the effect of defective area on maximum stress
A mathematical model representing the relationship between stress levels and adhered
area showed that the stress in the adhesive was inversely proportional to each other.
However research in the area [Jennings, 1972] disputed this by supporting that bond
strength was related to the peripheral length of the bond rather than its area. Although
not the main objective of this research, a series of destructive tests were carried out
using shear lap specimen to test the effect of defective area on the overall strength of
the bond. The relevance of such tests comes from the fact that non-destructive testing
can reveal the size and location of delaminated areas. Specimens with varying size
defects were tested to breaking point and maximum loads recorded. The results
revealed that although the peripheral dimension of the adhesive was the dominant factor
in load bearing, it was also evident that there was a load dependency on the adhered
area albeit to a much lesser extent.
Chapter 8 Conclusion
134
8.3.2 FEA of adhesive bonds
The results of the preliminary tests led to the enquiry of stress distribution in the
adhesive under load and whether they could reveal the condition of the adhesive bond if
they were measured. A Finite Element Analysis (FEA) was carried out on a computer
model similar to the specimen tested in the preliminary tests. The computer simulation
results showed that there certainly was a relationship between the location and size of
the defect and the stress distribution in the adherent and adhesive. The highest stress
concentration was shown to be at the defect boundaries and minimum at the centre of
the defect. Stress distribution in the well bonded area showed to be uniform throughout.
The results for the FEA test were encouraging as the correlation between stress
distribution and bonded interface was very clear. Such a result meant that if the stress
distribution in an adhesive bond system could be measured, the quality of the bond
could be determined.
8.3.3 Ultrasonic measurement of stress distribution
As described in section 8.3.2, the stress distribution within the adhesive system could
lead to an effective means of non destructive bond quality evaluation. A method for
stress measurement using ultrasonic signals was sourced through the literature on the
subject and a technique applied for stress measurement in turbine blades was used. A
portable tension device was designed and constructed to carry out laboratory tests in
measuring stress by ultrasonic means. Extensive variation in stress in the specimen
revealed no variation in the ultrasonic signal to reflect the stress changes. As the test
piece was 20 mm long, it was concluded that changes in the ultrasonic signal would be
difficult to detect of such small distances. Further experimentation to confirm if this
technique could detect stress over larger distances was not carried out as its application
in adhesive testing would require small distance testing for stress mapping over a large
area.
Chapter 8 Conclusion
135
8.3.4 Further FEA tests
As the results of the ultrasonic stress measurement were not successful, further FEA
was carried out to confirm that this technique was not suitable for testing adhesive bond
quality. The results of the additional FEA tests showed that the stressed distribution due
to the adhesion forces varied as the distance away from the bond interface was
increased. At some distance from the adhesive bond interface, no stress was
detectable. It was therefore concluded that this theory can only be true if stress
measurements were taken at the interface. Further more it also proved that experiments
carried out earlier, using ultrasonic signals to measure stress, could not have succeeded
as the measurements were done away from the adhesive interface. Further testing to
detect stress distribution was therefore abandoned due to the results of the FEA
conclusions. However this line of research could prove to be successful if stress
distribution at the bond interface was measurable. For example, load sensitive polymer
materials may be included in the adhesive assuming suitable means are made available
to measure stress in this material.
8.4 Design of experiment
Literature survey had shown that ultrasonic testing techniques are well suited to
application in the automotive and aerospace industries. Since these are the areas of
interest in this research, it was decided to use Ultrasonic means to evaluate adhesive
bond quality in metal to metal applications.
The experimental setup requirements were fairly standard with an ultrasonic pulser /
receiver unit, ultrasonic probes, data collection and analysis software and a scanning rig
to enable c-scans on adhesively bonded areas.
8.4.1 Ultrasonic scanning setup
The X-Y-Z scanning rig was design and constructed specifically for this research to suit
the specimen size, measurement resolution and accuracy. A robust structure was
designed specifically for this research with minimum deflection and vibration to reduce
Chapter 8 Conclusion
136
experimental errors. The rails for each axis were selected to enable high accuracy
movement and the drive mechanism consisted of ball screws for minimal backlash
inaccuracies. The scanning rig was tested for repetitiveness prior to experimental tests
on adhesively bonded specimens.
The driving mechanism was made up of stepper motors with adequate resolution, driver
control cards and power supply. Limit switches were also fitted to avoid accidental
damage to the test rig. The ultrasonic probe was securely held on the Z-axis of the
machine and was manually adjusted to the required height for testing. A water tank was
constructed of polymeric material and was placed directly below the probe.
The test rig movement was controlled by a software that synchronised a number of
variable parameters, i.e. probe speed in the X and Y directions and generating a pulse at
predetermined distances. The software was also capable of collecting the results from
gated areas of the signal and subsequently analysing the ultrasonic signal data.
The test rig design and construction was considered to be a very important part of this
research as all results depended on the ability to setup the experiment according to the
requirements, carry out the tests, and to be able to collect accurate and representative
measurements.
8.4.2 Instrument calibration
Before any tests were conducted, calibration of all instrumentation was carried out.
Aspects such as stepper motor movement, signal velocity through the different media
were tested and calibrated to reflect correct measurements. Variables such as location
of probe relative to specimen, ultrasonic pulser voltage setting, gain and repetition rates
were also calibrated to enable accurate and representative measurements. Calibration
is necessary for obvious reasons and this case is no exception as the success of the
research depends highly on the accuracy of measurement.
Chapter 8 Conclusion
137
8.4.3 Instrument optimization
Finally, the experimental setup was completed by designing a test piece with
predetermined location and size of defects to test the ability of the setup to detect these
defects. Furthermore, instrument variable settings for optimum results were also
determined using the same test pieces. The accuracy of locating the defects and the
resolution with which they were detected was placed under scrutiny. Independent
instrument variable settings such as Voltage, Pulse Echo Gain and scanning resolution
were calibrated using the Central Composite Second-Order Rotatable Design method.
This is an optimisation technique that uses settings of the different variables and results
in accuracy to determine optimum settings for maximum accuracy results. Computer
software was necessary for this analysis and the results were conclusive both
analytically and graphically. These settings were used in further experiments.
8.4.4 Experimental set-up
The experimental set-up was finally concluded by running numerous tests to confirm its
accuracy and repeatability. The results showed the desirable outcomes and tests in for
research testing was ready to commence.
8.5 Ultrasonic Experiments
Having completed the experimental set-up, the research concentrated on the type of
experiments to be conducted. Theory on ultrasonic signal utilization for non-destructive
testing, lead to the conclusion that the ultrasonic signal energy variation as it travels
through either liquid or solid material, is capable of detecting changes in the bulk of the
material. Based on this principle, preliminary tests were carried out to determine
whether this principle could be applied in the evaluation of adhesive bond quality.
8.5.1 Signal Characteristics
Traditionally used signal characteristics were tested to confirm that the experimental
equipment used in this research was capable of detecting adhesive bond defects. The
Chapter 8 Conclusion
138
results were quite conclusive in revealing that signal amplitude and signal decay showed
clear variations between signals from defective and non-defective locations. Frequency
analysis was also tested but did not show adequate variation for conclusive results in
detecting bond defects. It must be noted that the latter approach was successfully used
by other researchers.
These preliminary tests revealed that each technique was capable of detecting adhesive
bond defects, however their sensitivity to variation between adhesion extremes was
poor. The output range between total delamination and good adhesion was too narrow
to allow detection of intermediate results. It was therefore decided to explore other
signal / data analysis techniques in an effort to widen this range.
8.5.2 Data Analysis
Data collected and utilised in earlier tests was further analysed using other statistical and
graphical techniques in an effort to expand the resolution in evaluating adhesive bond
quality.
A number of existing techniques were explored, starting with conventional, statistical
indicators such as “Max”, “Min”, “Mean” etc. Even at this early stage some encouraging
results were emerging. “Variance” for example, had shown higher discrimination
capabilities than any of the methods discussed earlier. However all of the other indices
examined showed little if any improvement compared to existing techniques.
A series of other, more advanced graphical analysis techniques were also explored,
which showed there were possibilities in improving signal analysis in adhesive bond
testing. Unfortunately most of these were unable to give an “index” to represent bond
quality. Their output, although conclusive, was of a graphical nature that required expert
translation for meaningful interpretation. However, one of these techniques, the Wavelet
Transform, showed potential in achieving our objective of improving the measurement
resolution from adhesive bonds. The output from this method reduced the signal data to
a series of coefficients that retained substantial characteristics of the original signal to
enable easier manipulation of conclusive characterisation and evaluation.
Chapter 8 Conclusion
139
8.6 Wavelet Analysis
Explorational tests on analytical tools had shown that the Wavelet Transform offered
statistically significant improvements in the analysis of signals from adhesive bonds. It
was therefore decided to further investigate this technique with regards to it application
within the domain of this research.
The suitability of Wavelet Transform analysis was confirmed early in Chapter 6 when
fairly long and complex ultrasonic signals were reduced to a small number of coefficients
that could clearly indicate the differences between varying adhesive quality. These
coefficients were directly deduced from the original signal in such a way, through the
Wavelet Transform, that they preserved their identity. Inverse Wavelet Transform
operation on the coefficients resulted to the original signal confirming their suitability.
The Wavelet Transform is a mathematical technique that is normally used for
applications in the area of data compression. It was considered for this application, as
the objective was to represent as much of an ultrasonic signal with as little coefficients
as possible to enable effective comparison between signals. If taken to its extreme, this
method can represent the entire spectrum with one “detail” coefficient.
Extensive experimentation with this technique led to the conclusion that the “Total
Energy” of the Wavelet coefficients was very sensitive to changes in the ultrasonic
signal. Furthermore, a small number of coefficients that represented the entire signal
preserved a great proportion if not all the “Energy” of the entire signal under
investigation.
Continued experimentation showed that the “Total Energy” index represented varying
degrees of adhesive bond quality. Although detection of variation was also possible with
the other techniques explored, the Wavelet Transform method widened the range
between “Good” and “Bad” adhesive bonds. Depending on which part of the signal was
analysed, up to thirty times magnification was achieved by the “Total Energy” index.
Chapter 8 Conclusion
140
8.6.1 Noise Reduction
The Wavelet Transform offered other benefits to the analysis of ultrasonic signals. Part
of this analytical technique allows filtering unwanted noise from the original signal. This
capability reinforced the application of “Total Energy” to measure bond quality through
ultrasonic testing, as noise could be removed from the signal prior to energy
calculations. Inclusions of noise would have had negative effects on the final result.
8.6.2 Data Compression
One other factor that was considered in selecting the Wavelet Transform technique for
this application was its ability to compress data. Existing techniques such as “Maximum
Amplitude”, “Signal Decay” and “Frequency Analysis”, represent the signal with one
index value whilst all other characteristics of the signal are dismissed due to the
requirement of large memory banks of computer space. The ability of Wavelet
Transform technique to reproduce the whole signal at a later stage by utilising a small
number of coefficients enables storage of the whole signal in much smaller files. In the
case of adhesive bond analysis, where large areas may be under investigation, such a
tool offers tremendous possibilities in the investigation of subsequent recount of results
from earlier tests.
8.6.3 Suitability of Wavelet Transform
This research has proven that the Wavelet transform offers considerable improvements
on existing techniques in the investigation of ultrasonic signals from adhesive bonds.
Not only is it capable of providing an improved measurement index, the “Total Energy”,
but is also capable of increasing measurement accuracy by removing signal noise.
Lastly this technique is also capable of preserving the original signal through a small
number of coefficients that can be recalled at a later stage for further investigation. The
latter enables archiving signal data that would have been otherwise impossible due to
the extensive computer memory requirements.
Chapter 8 Conclusion
141
8.7 Industrial Application
The suitability of work carried out in this thesis was tested for its applicability in industrial
applications though contact with industries that are most relevant to this type of non
destructive testing, the automotive and aircraft industries. Although contact was kept
with these industries from the beginning of the project in an effort to keep the research
topic relevant, at the end of the research the results were discussed with industry
specialists and conclusions drawn.
8.7.1 Automotive industry
Discussions with personnel from Ford motor company, Australia, lead to conclusions that
the work done with the use of Wavelet transform would certainly be useful as it offers the
advantage of improved resolution of ultrasonic results. However a number of difficulties
relating to the implementation of adhesive bond testing using the ultrasonic technique
were highlighted. The inaccessibility to the majority of bonded areas on the car metal
structure, the irregularity of the surfaces and the need for couplant confirmed that there
is much research needed in this area before effective use of ultrasonic testing can be
applied.
8.7.2 Aircraft industry
All contacts in this area were with a local manufacturer of aircraft components, Hawker
De Havilant. The reception from this industry to the work done in this research was
entirely different to that from the automotive industry. Data compression, de noising and
increased resolution of ultrasonic signals are all problems that if overcome, would
improve non-destructive testing of adhesive bonds considerably. Firstly the issue of data
compression was very welcome due to the very large size of components normally
tested. Minimal data from each location is stored presently even though a complete set
of data would serve favourably in cases were maintenance is required or where
component failure occurs. The wavelet transform has had extensive success in other
cases were excessive data storage was prohibitive eg. fingerprint image storage, which
in this case would mean that complete sets of ultrasonic data can be kept in its
Chapter 8 Conclusion
142
compressed form. The efficiency of reconstructing the initial signal through the Wavelet
transform has made it the standard in image data compression, which confirms its
suitability in this case.
Noise reduction in ultrasonic signals is always welcome due to the high sensitivity of
ultrasonic transducers as well as the plethora of signals generated due to unrelated
phenomena within the component under test. Having the ability to reduce or even
eliminate the effects of such noise was viewed as a positive outcome of this research as
it has the potential to increase the accuracy of the measurements.
Finally, the most appreciated feature of this research was the improved resolution of the
ultrasonic results. The normal process followed in testing large aircraft components at
this facility, is to run an ultrasonic test on a large, water coupled device followed by a
handheld device on areas that had suspicious results. This means that any defects
undetected in the first test would not be found by a more refined test process that
follows. It was therefore considered that the outcomes of this research were extremely
useful as initial defect detection would be considerably improved.
Overall, the proposed technique in this research was valued as extremely useful in the
ultrasonic testing of adhesive bonds in aircraft components.
8.7.3 Blind tests
A series of test were carried out on test pieces prepared by a local Structural Adhesive
supplier. These test pieces included defects that were not known prior to testing them
using the proposed technique. The tests were originally carried out using the Maximum
Amplitude method followed by analysis of the same results using an approximation
technique to the Maximum Energy technique developed in this research. The proposed
Wavelet Transform based technique could not be used in live tests as the equipment
used was not capable of implementing the Wavelet Transform to the collected data. The
closest data processor available in Winspect [Winspect], was the RMS processor. The
results showed a marked improvement even with the approximated processor. It can
therefore be concluded that the application of the “Total Energy” technique, that uses the
Wavelet Transform, offers an improved alternative to existing Ultrasonic signal analysis
from adhesive bond tests.
Chapter 8 Conclusion
143
8.8 Further Work
Based on the results presented in this thesis, several areas have been identified for
further study. The following approaches are considered to complement the existing
results already presented.
1. Stress distribution of adherent and adhesive at the bond interface was proven to
have great potential in evaluating the quality of an adhesive bond non-destructively. The
use of Finite Element Analysis proved that such a technique is capable of identifying not
only disbonded areas but possibly areas with reduced bonding strength. A Lack of
equipment or available technique to measure stress distribution at the bond interface
limited this work to computer simulation. It is therefore suggested that a technique be
developed that can measure stress levels in the adherent or adhesive at the bond
interface. Such a technique may be based on Ultrasonic principles [Bray, 2000,
Prassianakis, 2000] or in the case of stress measurement in the adhesive, smart
material additives may be included in the adhesive that may emit a measurable output
that is mechanical stress dependant.
2. A second recommendation is software development based on work done in this
research that used the Wavelet Transform to analyse Ultrasonic signals from adhesive
bonds. Suitable algorithms need to be developed into a comprehensive software suite
that enables selection of the most suitable Wavelet type and decomposition level that is
best matched to the materials under investigation. Such software should be able to also
perform signal compression and decompression of ultrasonic signals in different file
formats. In addition to the above, Wavelets are also capable of noise filtering and this
feature should be incorporated in software developed for adhesive bond evaluation
using the Wavelet Transform.
3. One final area of development that may further the work presented here, is to
fully develop the handheld, portable Ultrasonic testing device designed during this work.
The advantages offered by this portable device, such as perpendicular to the surface
under inspection and ability to give an output that can differentiate between “good” and
“bad” bonds will prove to be very acceptable by industry.
144
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150
Appendix A Experimental Equipment
This appendix gives the technical specifications of the experimental equipment used in
this research.
Figure A.1 UTEXTM UT340 pulser / receiver.
Table A.1 Technical specifications of UT340 Pulser / Receiver.
Company: UTEX Scientific Instruments Inc. Canada
Pulser Specifications Standard Option - 001 Pulse Specification Rise time
Fall time Load Impedance Minimum Load Impedance
<2.0 ns <2.0 ns 50 ohms capacitive to 10 Amps
<1.0 ns <1.0 ns 50 ohms capacitive to 5.2 Amps
Pulse Voltage Control Minimum Output Voltage Maximum Output Voltage Maximum Voltage Increment
100 V 500 V 2 V
100 V 250 V 2 V
Pulse Width Control Pulse Width Minimum Pulse Width Maximum Pulse Width Resolution Pulse Width Accuracy
5.0 ns 80 ns 0.20-0.50 ns 10%
2.0 ns 80 ns 0.20-0.50 ns 10%
PRF Control PRF Minimum PRF Maximum
200 Hz 20 kHz
200 Hz 20 kHz
Receiver Specifications Gain Specification Bandwidth (-3 dB)
Input Impedance Equivalent Input Noise Maximum Output Level Output Headroom
1 MHz to 150 MHz 50 ohms 100 µV p-p max 0 dBm 6 dB
Gain Control Voltage Gain Minimum Voltage Gain Maximum Gain Increment
0 dB 63 dB 1 dB
Interfaces Serial Communications RS-232 (connection to host computer)
RS-485 (connection to additional pulser receivers) User Input/Output Four programmable digital inputs and outputs
Two sets of programmable relay contacts
Appendix A Experimental Equipment
151
Table A.2 Technical specifications of all moving parts of the Ultrasonic scan test rig.
Company Description Part Number Ball Screw 0.375 x 0.125 x 22” Ball nut NUT 7824973 Bearings 77R4 Carriage 7826440 Accu Glide Carriage CG20 AAAN
ACTION Bearing Distributors, Australia
Accu Glide Rail RG20 L0300 Table A.3 Technical specifications of stepper motors used in the Ultrasonic scan test rig.
Company Description Part Number 2 Amp Stepper Modules 24 VDC Input
OEM 230
Frame 23 Single Stack Z axis
S57-51-MO
3 Amp Stepper Modules 24VDC Input
OEM330
Motion Solutions Australia Pty Ltd
Frame 23 Three Stack X-Y Axis
S57-102-MO
Table A.4 Technical specifications of stepper motor control cards used in the Ultrasonic
scan test rig.
Company Description Part Number
PCI 3 AXIS for Stepper and Servo Motors
DMC1832
High Density 100 pin cable CABLE-100-1M Interconnect Board ICM2900
Motion Solutions Australia Pty Ltd
Communications Drivers and Terminal
COM DISK
Appendix A Experimental Equipment
152
Figure A.2 Zwick / Z010 Tensile testing machine used for hear lap test of adhesively bonded
specimens.
153
Appendix B Central Composite Second-Order Rotatable Design
B.1 Mathematical models
The Central Composite Second-Order Rotatable Design [Peng 1967, et. al] method was
chosen as a method for optimising instrument settings for this research. This is a design
of experiment technique that enables the derivation of equations for optimisation. It is
capable of calculating the coefficients b0, bi, bii etc., that relate the target variable (Y) to
the assigned variables (X) in a second order equation as shown in Eqn B.1.
Y = bo + ∑ biXi + ∑ biiXi2 + ∑ bijXiXj (B.1)
The experimental variables selected as having the most dominant influence on the
accuracy of results were:
X1: Voltage setting
X2: Pulse/Echo Gain
X3: Scan resolution
The selected target variable ‘Y’ for optimisation was the magnitude of fraction error
between introduced defect area and measured defect area.
Y = (((Aint - Ameas) / Aint)2)1/2 (B.2)
where:
Ameas = Area of defects as measured by the ultrasonic c-scan
Aint = Area of the defect introduced at adhesive interface
Appendix B Instrument setup optimisation
154
This method utilises a second order rotatable design matrix D, (Table B.1). The natural
values of variables X1, X2, and X3 replace the coded values of the rotatable matrix
according to Table B.2, to produce a modified matrix D, with the natural values of the
variables under investigation (Table B.3). The matrix is further extended to include
column vectors according to the second order model (Eqn B.1). The extended matrix is
shown in Table B.4.
According to Cohran & Cox (1957), if Y is the column vector with experimental
observations, (Table B.5), X is the instrument setting matrix (Table B.3), B, the column
vector of coefficients, can be determined from equation:
B = (X`X)-1X`Y (B.3)
The results from Eqn (B.3) are shown in Table B.8. Using these results, the equations
for target variable can now be written as:
Y1 = 0.23 + 0.0014 X1 – 0.009 X2 + 0.0352 X3 – 0.0113 X12 + 0.0277 X2
2 (B.4)
-0.0097 X32 + 0.0032 X1X2 - 0.0196 X1 X3 + 0.0081 X2 X3
Y2 = 0.3729 – 0.0148 X1 + 0.023 X2 + 0.0633 X3 - 0.0301 X12 + 0.0746 X22 (B.5)
- 0.0646 X32 - 0.0017 X1 X2 - 0.0298 X1 X3 + 0.0494 X2 X3
Y3 = 0.272 + 0.0085 X1 - 0.0024 X2 + 0.0675 X3 - 0.0003 X12 + 0.0745 X22 (B.6)
+ 0.0404 X32 - 0.0212 X1 X2 + 0.0103 X1 X3 + 0.0789 X2 X3
Appendix B Instrument setup optimisation
155
Y4 = 0.4508 - 0.0078 X1 - 0.0024 X2 + 0.0611 X3 + 0.0336 X12 + 0.0765 X22 (B.7)
+ 0.0043 X32 + 0.0098 X1 X2 - 0.0136 X1 X3 + 0.0280 X2 X3
Y5 = 0.6293 + 0.0197 X1 - 0.0001 X2 - 0.0525 X3 - 0.0512 X12 - 0.0565 X22 (B.8)
- 0.0579 X32 - 0.0223 X1 X2 + 0.0034 X1 X3 - 0.0016 X2 X3
Appendix B Instrument setup optimisation
156
Table B.1 Matrix of the second order rotatable design (Code values).
X1 X2 X3
-1 -1 -1
+1 -1 -1
-1 +1 -1
+1 +1 -1
-1 -1 +1
+1 -1 +1
-1 +1 +1
+1 +1 +1
-1.682 0 0
+1.682 0 0
0 -1.682 0
0 +1.682 0
0 0 -1.682
0 0 +1.682
0 0 0
0 0 0
0 0 0
0 0 0
0 0 0
0 0 0
Appendix B Instrument setup optimisation
157
Table B.2 Assignment of Code values to the Natural values of experimental variables X1,
X2, X3.
Code values -1.682 -1 0 +1 +1.682
Voltage (V)
X1
100 140 200 240 300
P/E Gain (dB)
X2
6 12 20 28 34
Scan Resolution (mm)
X3
0.5 0.9 1.5 2.1 2.5
Appendix B Instrument setup optimisation
158
Table B.3 Second order rotatable design matrix with natural values of assigned variables.
Test No.
N
Voltage (V)
X1
P/E Gain (dB)
X2
Scan Resolution (mm)
X3
1 140 12 0.9
2 240 12 0.9
3 140 28 0.9
4 240 28 0.9
5 140 12 2.1
6 240 12 2.1
7 140 28 2.1
8 240 28 2.1
9 100 20 1.5
10 300 20 1.5
11 200 6 1.5
12 200 34 1.5
13 200 20 0.5
14 200 20 2.5
15 200 20 1.5
16 200 20 1.5
17 200 20 1.5
18 200 20 1.5
19 200 20 1.5
20 200 20 1.5
Appendix B Instrument setup optimisation
159
Table B.4 Extended matrix of the second order rotatable design (Code values).
X0 X1 X2 X3 X12 X2
2 X32 X1X2 X1X3 X2X3
+1 -1 -1 -1 +1 +1 +1 +1 +1 +1
+1 +1 -1 -1 +1 +1 +1 -1 -1 +1
+1 -1 +1 -1 +1 +1 +1 -1 +1 -1
+1 +1 +1 -1 +1 +1 +1 +1 -1 -1
+1 -1 -1 +1 +1 +1 +1 +1 -1 -1
+1 +1 -1 +1 +1 +1 +1 -1 +1 -1
+1 -1 +1 +1 +1 +1 +1 -1 -1 +1
+1 +1 +1 +1 +1 +1 +1 +1 +1 +1
+1 -1.68 0 0 2.28 0 0 0 0 0
+1 +1.68 0 0 2.28 0 0 0 0 0
+1 0 -1.68 0 0 2.28 0 0 0 0
+1 0 +1.68 0 0 2.28 0 0 0 0
+1 0 0 -1.68 0 0 2.28 0 0 0
+1 0 0 +1.68 0 0 2.28 0 0 0
+1 0 0 0 0 0 0 0 0 0
+1 0 0 0 0 0 0 0 0 0
+1 0 0 0 0 0 0 0 0 0
+1 0 0 0 0 0 0 0 0 0
+1 0 0 0 0 0 0 0 0 0
+1 0 0 0 0 0 0 0 0 0
Appendix B Instrument setup optimisation
160
Table B.5 Experimental values of response functions (criteria for optimisation). Each column
of this table is the list of elements of vector Y.
Test No.
N
Response Function
Y1 (Area 1)
Response Function
Y2 (Area 2)
Response Function
Y3 (Area 3)
Response Function
Y4 (Area 4)
Response Function
Y5 (Area 5)
1 0.15 0.29 0.37 0.51 0.48
2 0.18 0.28 0.41 0.50 0.58
3 0.17 0.30 0.33 0.54 0.58
4 0.22 0.32 0.26 0.44 0.46
5 0.26 0.33 0.30 0.69 0.39
6 0.22 0.19 0.30 0.50 0.35
7 0.31 0.54 0.52 0.69 0.36
8 0.30 0.43 0.52 0.69 0.35
9 0.22 0.29 0.24 0.50 0.39
10 0.18 0.23 0.32 0.64 0.48
11 0.35 0.67 0.60 0.73 0.48
12 0.32 0.57 0.43 0.63 0.49
13 0.20 0.06 0.21 0.39 0.51
14 0.25 0.37 0.60 0.52 0.49
15 0.19 0.27 0.23 0.36 0.58
16 0.25 0.39 0.32 0.41 0.65
17 0.22 0.34 0.32 0.50 0.58
18 0.26 0.29 0.28 0.44 0.69
19 0.25 0.47 0.20 0.54 0.69
20 0.22 0.47 0.31 0.48 0.63
Appendix B Instrument setup optimisation
161
Table B.6 Matrix (X`X)-1.
0.166 0 0 0 -0.057 -0.057 -0.057 0 0 0
0 0.073 0 0 0 0 0 0 0 0
0 0 0.073 0 0 0 0 0 0 0
0 0 0 0.073 0 0 0 0 0 0
-0.057 0 0 0 0.069 0.069 0.069 0 0 0
-0.057 0 0 0 0.069 0.069 0.069 0 0 0
-0.057 0 0 0 0.069 0.069 0.069 0 0 0
0 0 0 0 0 0 0 0.125 0 0
0 0 0 0 0 0 0 0 0.125 0
0 0 0 0 0 0 0 0 0 0.125
Table B.7 Matrix X`Y.
ΣYu
ΣX1Yu
ΣX2Yu
ΣX3Yu
ΣX12Yu
ΣX22Yu
ΣX32Yu
ΣX1X2 Yu
ΣX1X3 Yu
ΣX2X3 Yu
Appendix B Instrument setup optimisation
162
Table B.8 Values of calculated model coefficients (B) (Code factors).
Model
Coefficients
Calculated
Values of
Coefficients
(Y1)
Calculated
Values of
Coefficients
(Y2)
Calculated
Values of
Coefficients
(Y3)
Calculated
Values of
Coefficients
(Y4)
Calculated
Values of
Coefficients
(Y5)
Bo 0.23 0.3729 0.272 0.4508 0.6293
B1 0.0014 -0.0148 0.0085 -0.0078 0.0197
B2 0.009 0.023 -0.0024 -0.0024 -0.0001
B3 0.0352 0.0633 0.0675 0.0611 -0.0525
B11 -0.0113 -0.0301 -0.0003 0.0336 -0.0512
B22 0.0277 0.0746 0.0745 0.0765 -0.0565
B33 -0.0097 -0.0646 0.0404 0.0043 -0.0579
B12 0.0032 -0.0017 -0.0212 0.0098 -0.0223
B13 -0.0196 -0.0298 0.0103 -0.0136 0.0034
B23 0.0081 0.0494 0.0789 0.028 -0.0016
Appendix B Instrument setup optimisation
163
B.2 Refinement of mathematical models
The Error of experiments can be determined from:
Error = Σ(Y - Yav)2 (B.9)
where Yav is the mean of Y values.
The Sum of Squares of Deviations (SSD) can be found by equation (Peng 1967):
SSD = Y`Y - B`(X`Y) (B.10)
with degree of freedom 10 (for 3-factor matrix of design).
Adequacy is indicated by the value of the (Lack-of-fit/D.F)/(Error/D.F) which should be
less than Fisher criterion Fd.f, d.f, 0.05. If the observed values of Fisher criterion are more
than the theoretical values the hypothesis is rejected and the coefficients are
insignificant. Values of Fisher criterion can be obtained by using (Peng 1967):
F(bi) = bi(ΣXiuYu)/(SSD/10)>F1,10,0.05 (B.11)
F(bii) = bii(ΣXiu2Yu)/(SSD/10)>F1,10,0.05 (B.12)
F(bij) = bij(ΣXiuXjuYu)/(SSD/10)>F1,10,0.05 (B.13)
The results of the Fisher hypothesis are shown in Table B.9. Based on these findings,
all insignificant coefficients were ignored to give equations for target variable Y as shown
below:
Appendix B Instrument setup optimisation
164
Y1 = 0.23 + 0.0352 X3 + 0.0277 X2
2 (B.14)
Y2 = 0.3729 + 0.0633 X3 + 0.0746 X22 (B.15)
Y3 = 0.272 - 0.0675 X3 + 0.0745 X2
2 + 0.0789 X2 X3 (B.16)
Y4 = 0.4508 + 0.0611 X3 + 0.0765 X22 (B.17)
Y5 = 0.6293 - 0.0525 X3 - 0.0512 X12 - 0.0565 X2
2 - 0.0579 X32 (B.18)
The mathematical models given by Equations B.14 -B.18 were tested against the
experimental results to confirm their validity. Table B.10, shows the results of this test
from were it can be observed that the mathematical model results follow those from
experiments quite accurately. The maximum average error is ±5.1% however the
individual error in one case is recorded as 57%. As these tests were carried out for
optimisation purposes, the extreme cases will be considered as outliers and consider
that the models are satisfactory.
Appendix B Instrument setup optimisation
165
Table B.9 Fisher criterion test results on the significance of the second order model
coefficients.
Model
Coefficients
Response
function Y1
Response
function Y2
Response
function Y3
Response
function Y4
Response
function Y5
Bo 0.0226 0.0319 0.0169 0.0436 0.0325
B1 0.8768 0.5513 0.6684 0.6955 0.3143
B2 0.3691 0.3899 0.9095 0.9088 0.9946
B3 0.0035* 0.0358* 0.0091* 0.0156* 0.0268*
B11 0.1162 0.1364 0.9848 0.0486 0.0052*
B22 0.0082* 0.0106* 0.0030* 0.0026* 0.0120*
B33 0.3131 0.0314* 0.0797 0.8405 0.0160*
B12 0.7959 0.9617 0.4491 0.7241 0.4110
B13 0.1303 0.3950 0.7098 0.6264 0.8997
B23 0.5133 0.1747 0.0156* 0.3273 0.9517
*Coefficients are considered to be significant when the observed Fisher criterion “F” is less than
theoretical value of F5,5,0.05 = 0.05 (Eqns B.11, B.12, B13)
Appendix B Instrument setup optimisation
166
Table B.10 Mathematical model accuracy test results.
Y1 Y2 Y3 Y4 Y5
Actual Predicted Actual Predicted Actual Predicted Actual Predicted Actual Predicted
0.15 0.19 0.29 0.30 0.37 0.38 0.51 0.54 0.48 0.48
0.18 0.22 0.28 0.33 0.41 0.42 0.50 0.53 0.58 0.55
0.17 0.18 0.30 0.25 0.33 0.26 0.54 0.46 0.58 0.52
0.22 0.23 0.32 0.28 0.26 0.21 0.44 0.49 0.46 0.51
0.26 0.28 0.33 0.39 0.30 0.34 0.69 0.63 0.39 0.37
0.22 0.24 0.19 0.30 0.30 0.42 0.50 0.57 0.35 0.46
0.31 0.31 0.54 0.53 0.52 0.53 0.69 0.66 0.36 0.41
0.30 0.28 0.43 0.44 0.52 0.53 0.69 0.64 0.35 0.41
0.22 0.19 0.29 0.30 0.24 0.26 0.50 0.57 0.39 0.43
0.18 0.18 0.23 0.19 0.32 0.29 0.64 0.60 0.48 0.42
0.35 0.30 0.67 0.56 0.60 0.51 0.73 0.69 0.48 0.47
0.32 0.33 0.57 0.64 0.43 0.49 0.63 0.68 0.49 0.45
0.20 0.15 0.06 0.09 0.21 0.27 0.39 0.37 0.51 0.56
0.25 0.26 0.37 0.28 0.60 0.50 0.52 0.56 0.49 0.38
0.19 0.23 0.27 0.37 0.23 0.27 0.36 0.45 0.58 0.63
0.25 0.23 0.39 0.37 0.32 0.27 0.41 0.45 0.65 0.63
0.22 0.23 0.34 0.37 0.32 0.27 0.50 0.45 0.58 0.63
0.26 0.23 0.29 0.37 0.28 0.27 0.44 0.45 0.69 0.63
0.25 0.23 0.47 0.37 0.20 0.27 0.54 0.45 0.69 0.63
0.22 0.23 0.47 0.37 0.31 0.27 0.48 0.45 0.63 0.63
Appendix B Instrument setup optimisation
167
B.3 Parameter optimisation
Having validated the mathematical models that were used for determining the optimum
settings for the experimental parameters. In order to find the optimum values for
Voltage, Gain and Scan resolution settings, (X1, X2 and X3), a series of differential
equations were utilised:
⎪⎪⎪⎪
⎩
⎪⎪⎪⎪
⎨
⎧
=
=
=
03
02
01
XY
XY
XY
∂∂
∂∂
∂∂
(B.19)
The optimisation equations are given in Table B.11. These equations utilise Coded
Values which are subsequently converted to Natural values using Equations B20 – B22.
The converted, optimal settings are give in the last column of Table B.11.
X1(nat) = 200 + (40*X1(code)) (B.20)
X2(nat) = 20 + (8*X2(code)) (B.21)
X3(nat) = 1.5 + (0.6*X3(code)) (B.22)
Appendix B Instrument setup optimisation
168
B.4 Optimum instrument settings
The results indicated that the Voltage setting (X1), was found to have Fisher criterion F >
0.05 which meant that its significance in influencing the outcome in a consistent manner
too low to be taken into consideration. The dominant value for Gain (X2), was found to
be 20 dB in most cases. In the case of Scan Resolution (X3), there is a linear
relationship between the error and this parameter. It is therefore concluded that the
lower the value of scan resolution, the lower the reading error. For this reason it is
recorded as “Lowest” in the optimisation table meaning the lowest possible setting is
recommended for best results.
Appendix B Instrument setup optimisation
169
Table B.11 Optimum values of parameters using coded values.
Optimum values Target
Variable
Differential Equations
Param. Coded Natural
Y1
0352.03
020554.02
=
==
XY
XXY
∂∂
∂∂
X1*
X2
X3
-
0
Lowest
-
20
Lowest
Y2 -
0633.03
021492.02
=
==
XY
XXY
∂∂
∂∂
X1*
X2
X3
-
0
Lowest
-
20
Lowest
Y3
020789.00675.03
030789.02149.02
=+−=
=+=
XXY
XXXY
∂∂
∂∂
X1*
X2
X3
-
0.855
-1.616
-
26.8
0.53
Y4
0611.03
02153.02
=
==
XY
XXY
∂∂
∂∂
X1*
X2
X3
-
0
Lowest
-
20
Lowest
Y5
031158.00525.03
02113.02
011024.01
=−−=
==
=−=
XXY
XXY
XXY
∂∂
∂∂
∂∂
X1
X2
X3
0
0
0.453
200
20
1.8
Appendix B Instrument setup optimisation
170
B.5 Graphical representation of results
(a)
Appendix B Instrument setup optimisation
171
(b)
(c)
(d)
Appendix B Instrument setup optimisation
172
(e)
Figure B.1 Graphical results showing the influence of Gain and Voltage on defect area detection. The Z-axis of the graph labelled Area ‘n’, shows the fraction error of measured versus actual area of defect. The third variable, Scan Resolution, was kept constant at 1.5 mm in all cases.
Appendix B Instrument setup optimisation
173
(a)
(b)
Appendix B Instrument setup optimisation
174
(c)
(d)
Appendix B Instrument setup optimisation
175
(e)
Figure B.2 Graphical results showing the influence of Scan Resolution and Gain on defect area detection. The Z-axis of the graph labelled Area ‘n’, shows the fraction error of measured versus actual area of defect. The third variable, Voltage, was kept constant at 140 V in all cases.
Appendix B Instrument setup optimisation
176
(a)
(b)
Appendix B Instrument setup optimisation
177
(c)
(d)
Appendix B Instrument setup optimisation
178
(e)
Figure B.3 Graphical results showing the influence of Scan Resolution and Voltage on defect area detection. The Z-axis of the graph labelled Area ‘n’ shows the fraction error of measured versus actual area of defect. The third variable, Gain, was kept constant at 20 dB in all cases.
179
Appendix C Industrial application results
C.1 Specimens provided by OrbsealTM
Four specimens were prepared by Mr David Humphreys, Laboratory manager at
OrbsealTM, Broadmeadows, Melbourne, Australia. These specimens were made up of
sheet steel, 0.8 mm thickness, typical of the material used in the automotive industry.
They were prepared using structural adhesive, Orbseal 20000TM, to bond the two plates.
Defects were placed at the adhesive/metal interface by Orbseal laboratory personnel
unknown to us. The test pieces were subsequently tested at our laboratory using two
techniques, the Maximum Amplitude parameter while the other measurement parameter
was an approximation of the Wavelet Transform technique developed in this research.
The approximate alternative was necessary as Wavelet Transform processor was not
available in the WinspectTM software that was used for all the c-scans in this research.
Figure C.1 Adhesive bond specimens prepared in the OrbsealTM laboratory.
Appendix C Industrial application results
180
C.2 Maximum Energy approximation results
Figures C.2 – C.9, show the results of c-scan tests using the RMS, WinspectTM
processor as an approximation of the Maximum Energy technique.
Figure C.2 Sample_B_RMS c-scan results.
Figure C.3 Sample_B_Rev. RMS c-scan results.
Appendix C Industrial application results
181
. Figure C.4 Sample_M_RMS c-scan results.
Figure C.5 Sample_M__Rev. RMS c-scan results.
Appendix C Industrial application results
182
Figure C.6 Small_Sample_RMS c-scan results
Figure C.7 Small_Sample_Rev_RMS c-scan results
Appendix C Industrial application results
183
Figure C.8 Sample_T_RMS c-scan results.
Figure C.9 Sample_T_Rev. RMS c-scan results.
Appendix C Industrial application results
184
C.3 Maximum Amplitude results
Figures C.10 – C.17, show the results from Ultrasonic c-scan tests using the Maximum
Amplitude processor from the Winspect software.
Figure C.10 Sample_B_MaxAmp c-scan results.
Figure C.11 Sample_B_Rev_MaxAmp c-scan results.
Appendix C Industrial application results
185
Figure C.12 Sample_M_MaxAmp c-scan results.
Figure C.13 Sample_M_Rev_MaxAmp c-scan results.
Appendix C Industrial application results
186
Figure C.14 Sample_T_MaxAmp c-scan results.
Figure C.15 Sample_T_Rev_MaxAmp c-scan results.
Appendix C Industrial application results
187
Figure C.16 Small_Sample_MaxAmp c-scan results.
Figure C.17 Small_Sample_Rev_MaxAmp c-scan results.