micro-scale experiments and models for composite materials
DESCRIPTION
Micro-Scale Experiments and Models for Composite Materials. PhD-student : Sanita Zike Supervisor s : Lars P. Mikkelsen , DTU Wind Energy, Section of Composites and Materials Mechanics Bent F. Sørensen , DTU Wind Energy, Section of Composites and Materials Mechanics - PowerPoint PPT PresentationTRANSCRIPT
Micro-Scale Experiments and Models for Composite Materials
PhD project duration: 1. January 2012 - 31. December 2014
Project type & funding: PhD-A project, DCCSM Core (DSF)
PhD-student: Sanita Zike
Supervisors:Lars P. Mikkelsen, DTU Wind Energy, Section of Composites and Materials Mechanics
Bent F. Sørensen, DTU Wind Energy, Section of Composites and Materials Mechanics
Viggo Tvergaard, DTU Mechanical Engineering, Section of Solid Mechanics
Vision of PhD projectThe target of the PhD project is to establish coupled modelling-experimental approaches for bridging the understanding of composite material properties from micro to macro scale length.
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Outline
1. STRAIN GAUGE MEASUREMENTS OF SOFT MATERIALS
2. Plastic zone and shear band formation around notches
3. Single interface region study between fibre and matrix
4. Interaction between multiple fibre/matrix interfaces
5. Correlation between microscopic and macroscopic behaviour
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2. - 4. Plastic zone and shear band formation around notches & fibre/matrix interface
Modelling and experimental determination of plasticity zone by formation of shear bands in polymer material around notches, single and multiple fibre/matrix interfaces.
References:
1. Wang, G.F. & Van der Giessen, E., 2004. Fields and fracture of the interface between a glassy polymer and a rigid substrate. European Journal of Mechanics - A/Solids, 23(3), pp.395-409.
2. Jeong, H.Y. et al., 1994. Slip lines in front of a round notch tip in a pressure-sensitive material. Mechanics of materials, 19(1), pp.29–38.
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Experimental testingInterface study between glass and polymer introducing DCB testing method in optical microscope and ESEM
Glass – Polymer - Glass
Cohesive laws
References:
1. Sørensen, B.F. et al., 1998. Fracture resistance measurement method for in situ observation of crack mechanisms. Journal of the American Ceramic Society, 81(3), pp.661–669.
2.Sørensen, B.F. et al., 2010. Cohesive laws for assessment of materials failure: Theory, ezperimental methods and application. Doctor of Technices thesis, DTU.
3.. Goutianos, S., Frandsen, H.L. & Sørensen, B.F., 2010. Fracture properties of nickel-based anodes for solid oxide fuel cells. Journal of the European Ceramic Society, 30(15), pp.3173-3179.
Plasticity zone
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5. Correlation between microscopic and macroscopic behaviour
The ending of research project involves understanding the correlation between the observed micro- and macro-scale properties of composite materials.
In micro-scale materials can sustain higher loads, therefore show better strength properties than the same materials in macro-scale.
The project intention is to develop approaches, which can be used to predict macroscopic behaviour knowing the micro-scale properties.
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1. STRAIN GAUGE MEASUREMENTS OF SOFT MATERIALS
Strain gauge as strain measuring device
• Strain gauge electrical resistance is changed with small deformations of inner grids.
• Calibration of strain gauges has to be done to obtain gauge factor:
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o
LLRRGF//
Resistivity changeStrain
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Aim and tasks
Purpose is to determine the measurements accuracy of strain gauges used in soft materials testing. Study involves:1) development of numerical model in FEM program ABAQUS;2) in situ micromechanical measurements under optical microscope incorporating
digital image correlation (DIC) system
• Aim: Obtain correction methods for strain gauge measurements
• Tasks:– How measurement error varies with strain gauge type?– How much strain gauge measurements are influenced by specimen
geometry and stiffness?– What is the impact of plastic deformation on strain gauge
measurements?
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Recognition of problem• Experimentally observed discrepancy between different strain measurement
methods:
Why SG, clip on and laser extensometer measurements show different strain values?
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Strain distortions by ABAQUS
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DIC measurements
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Parameter studyVariables:
Elastic modulus of specimen
Specimen dimension Strain gauge dimension
Elastic and plastic deformation
Length1.5 - 10
mmThickness
3.8 - 5.0 µm
Pattern modification
(elongation of end-loops)Length
25 – 150 mm Width10 – 25 mm
Thickness1 – 30 mm
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2 D model
MODELLING FEATURES: - SG: uniform foil with ½ thickness (2D), elastic-
plastic, back-to-back SGs- Specimen: ¼ symmetry (3D), elastic, elastic-
plastic- Parts: solid, homogeneous, deformable- Elements: plane stress & 3D stress- Load: displacement boundary
3 D model
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Gauge factor correction
Gauge factor (GF)
Correction coefficient (C) – ratio between actual and SG determined strain:
specsg
sg
spec
sg
spec
EEC 1
Gauge factor correction:
actualalcalibrated
osg
speco
GFGF
RRRR
C 1/
/
C
GFGF calibratedactual
o
o
LLRR//
Manufacturers provided strain gauges are calibrated on stiff material - steel. Usage of strain gauges on softer material than constantan, requires new calibration or gauge factor correction.
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Parameter study results
Specimen thickness Strain gauge length & stiffness
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Correlation between specimen thickness and strain gauge length
THINTHICK thickness
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Conclusions• Sufficiently large errors are observed even for relatively stiff
specimens• Parametric study indicates major impact by gauge length and
specimen thickness:– Shorter strain gauges are subjected to larger errors as strain distortions
more affect measuring grid– Thinner specimens more affected by stiffening
• Correction coefficient can be used to modify manufacturers provided gauge factor. Two correction coefficient values can be distinguished depending on specimen thickness.
• At large strains, up to 5%:– Strain gauge reinforcement decreases due to plastic deformation of
constantan.– Total reinforcement can either increase or decrease depending on specimen
stiffness reduction during plastic deformation.
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