rushabh workshop presentation
TRANSCRIPT
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Rushabh J. Vora, Dr. I. A. Ashcroft and Dr. R. Hague
21/12/2005
Presented by: Rushabh J. Vora
Depth Sensing Indentation of
Polymeric Materials
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Contents
Introduction
Objectives
Experimental Technique
Study of cure kinetics and time dependent behaviour Investigation of viscoelastic/viscoplastic behaviour and
determination of suitable test parameters
Finite element Analysis (FEA) and Atomic force microscopy(AFM)
Conclusions
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Introduction
Rapid Prototyping (RP)
Stereolithography (SL)
Ageing and non-uniform mechanical properties.
DSI technique.
Application to polymers.
Sensitivity to stress state and strain rate.
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Objectives
Investigation of mechanical properties of an epoxy basedSL7580 using DSI technique.
Investigation of viscoelastic/viscoplastic behaviour anddetermination of suitable testing parameters
To investigate curing of the SL resin and relate this to themechanical properties.
To generate comparative mechanical data using standardtest methods such as uniaxial compressive, tensile and
creep tests and dynamic mechanical thermal analysis(DMTA).
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Objectives
Finite element modelling is used to increase understandingof DSI of polymers.
AFM is used to study the surface roughness, non-uniformities and indentation impression.
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Stereolithography (SL) process
SL7000 from 3D system
The photopolymer usedin the current research isSL7580, which isproduced by RenShapeSolutions, the tooling unitof Huntsman advancedmaterials(www.huntsman.com)
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Sample preparation
Post-processing technique
Group A: - Stereolithography samplescleaned with TPM (Tri-propylene GlycolMonomethyl Ether)
Group B: - Stereolithography samplescleaned with TPM and U.V post cured for90 minutes.
Group C: - Stereolithography samples treated with Methanol.
Group D: - Stereolithography samples treated with Methanoland U.V post-cured for 90 minutes.
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DSI Technique
Experimental set-up for DSI
A Nanotest 600 from Micro Materialswas used for the DSI tests.
Loads ranging from 5 to 100mNwere used and loading rate, dwell
time and unloading rate were allvaried independently.
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Study of time-dependent behaviour of SL7580
SL7580 samples treatedwith methanol and U.V postcured for 90 minutes.
0
500
1000
1500
2000
2500
30003500
4000
4500
0 5 10 15 20 25
Weeks
Plasticdepth(n
m)
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Study of time-dependent behaviour of SL7580
Time (weeks)
0 5 10 15 20 25 30
Hardness(MPa)
0
50
100
150
200
250
SL 7580 samples treated with methanol
SL 7580 samples treated with methanol and U.V postcured for 90 min
Time (weeks)
0 5 10 15 20 25 30
Indentationmodulus(GPa)
0
1
2
3
4
5
SL 7580 samples treated with methanol
SL 7580 samples treated with methanol and U.V postcured for 90 min
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Study of time-dependent behaviour of SL7580
Time (weeks)
0 5 10 15 20 25
Hardness(GPa)
0
20
40
60
80
100
120
140
160
180
200
SL 7580 samples treated with T.P.M
SL 7580 samples treated with T.P.M and U.V postcured for 90 min
Time (weeks)
0 5 10 15 20 25
Indentationmodulus(GPa)
0
1
2
3
4
5
SL 7580 samples treated with T.P.M
SL 7580 samples treated with T.P.M and U.V postcured for 90 min
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Cure kinetics of SL7580
-6
-4
-2
0
2
46
8
10
12
14
0 50 100 150 200 250 300 350
Temperature (0
C)
mW
Heating
rates
Differential Scanning Calorimetry (DSC) tests
Dynamic DSC plots at 3, 7, 10 and 15 0C/min
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Cure kinetics of SL7580
Dynamic heating runsT
T
T
H
dTdT
dH
1
0
Isothermal runst
t
0
H
dtdt
dH
T
T
T
0
dTdT
dHH
n)1(k
dt
d
nth order mechanistic model
0
0.5
1
1.5
2
2.5
3
0 50 100 150 200 250
Temperature (0C)
n
n
-12
-10
-8
-6
-4
-2
0
0 50 100 150 200 250
Temperature (0C)
Ln(K)(1/se
c)
ln (K)
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0
50
100
150
200
250
0 1 2 3 4 5 6
Time (weeks)
Hardness(MPa)
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
D
egreeofcure
Hardness (MPa)
Degree of cure
0
50
100
150
200
250
0 5 10 15 20 25
Time (weeks)
Hardness(MPa)
0
0.1
0.2
0.30.4
0.5
0.6
0.7
0.8
0.9
1
Degre
eofcure
Hardness (MPa)
Degree of cure
Standardization chart: Relation between hardness (MPa) and degree of cure.
Cure kinetic parameters for SL7580
Kinetic constants
k = 3.36*10-5 sec-1n = 2.8
)1ln(n)kln()dt
dln(
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Cure kinetic parameters for SL7580
bx
0 aeyy
Kinetic parametersy0 = -46.55,
a = 123.7 and
b=0.6503Degree of cure
0.0 0.2 0.4 0.6 0.8 1.0
H
ardness(MPa)
40
60
80
100
120
140
160
180
200
220
240
Indentation hardness vs. Degree of cure
Degree of cure
In estigation of iscoelastic beha io r of
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0
5
10
15
20
25
0 500 1000 1500 2000 2500 3000
Displacement (nm)
Load(mN)
0.5 mN/sec
2 mN/sec
0.1 mN/sec
Load-displacement plots at different loading rates andconstant unloading rate.
When no dwell period is applied theunloading curve shows a nose or
bowing which increases with loading
rate.
This compromises the application ofthe standard data analysis methods
developed for metals.
Investigation of viscoelastic behaviour ofSL7580
Investigation of viscoelastic behaviour of
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0
5
10
15
20
25
0 500 1000 1500 2000 2500 3000
Displacement (nm)
Load(mN)
Investigation of viscoelastic behaviour ofSL7580
0.1mN/sec
0.5mN/sec
2mN/sec
Load-displacement plot at constant loading rate anddifferent unloading rates
The bowing effect also increaseswith decreasing unloading rate.
Assumption of purely elastic
behaviour during unloading is
incorrect and the viscoleastic
behaviour must be accounted for
before extracting meaningful
mechanical properties.
Investigation of viscoelastic behaviour of
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0
5
10
15
20
25
0 500 1000 1500 2000 2500 3000 3500
Displacement (nm)
Load(mN)
Investigation of viscoelastic behaviour ofSL7580
Load-displacement plots with different dwell periods.
No dwell
60s dwell
180s dwell
300s dwell
Loading rate 2mN/sec
Unloading rate 0.1mN/sec
Elastic unloading can be
achieved by the addition of a
suitable dwell period at maximum
load prior to unloading.
However, data obtained is still a
function of the non-uniform stress
state and the test rate.
Investigation of viscoelastic behaviour of
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0
5
10
15
20
25
0 400 800 1200 1600 2000 2400 2800 3200
Displacement (nm)
Load(mN)
Investigation of viscoelastic behaviour ofSL7580
No dwell
60 s dwell
180 s dwell
300s dwell
Multiple load cycles reloaded to same maximum loadafter different dwell periods
It can assumed that if the
unloading and reloading curves
follow the same path then the initial
portion of the unloading curve is
elastic.
Investigation of viscoelastic behaviour of
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0
5
10
15
20
25
0 500 1000 1500 2000 2500 3000 3500
Displacement (nm)
Load(mN)
Investigation of viscoelastic behaviour ofSL7580
1 mN/sec 0.1 mN/sec
0.5 mN/sec
Multiple load cycles reloaded to same maximum load at differentloading rate
Dwell 180sec
Investigation of viscoelastic behaviour of
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0
5
10
15
20
25
0 500 1000 1500 2000 2500 3000 3500
Displacement (nm)
Load(mN)
0
100
200
300
400
500
600
700
0 50 100 150 200
Time (sec)
Displacement(
nm)
Investigation of viscoelastic behaviour ofSL7580
0.1 mN/sec
0.5 mN/sec
2 mN/sec
Load-displacement plots with differentloading rates and fixed unloading rate (0.5mN/sec).
2mN/sec
0.5mN/sec
0.1mN/sec
Creep curves for 180s after differentloading rates
Dwell 180sec
Investigation of viscoelastic behaviour of
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Investigation of viscoelastic behaviour ofSL7580
1500
2000
2500
3000
3500
4000
0 0.5 1 1.5 2 2.5
Loading rate (mN/sec)
Inden
tationmodulus(MPa
40
50
60
70
80
90
100
110
120
130
Indentationhardness(MPa)
Indentation modulus (Mpa)
Indentation hardness (Mpa)
Indentation modulus and hardness at differentloading rates.
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Atomic force microscopy (AFM) Study
VEECO Dimension 3100 AFM
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Atomic force microscopy (AFM) Study
Centre Edge
AFM images of Centre and Edge of unpolished sample
Investigation of non-uniform mechanica
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Investigation of non uniform mechanicaproperties
0
50
100
150
200
250
300
-1 1 3 5 7 9
Time (Weeks)
Indentationhardness(MPa)
Group C (Centre)
Group C (Edge)
Time (Weeks)
0 2 4 6 8 10
Hardness(MPa)
50
100
150
200
250
300
Group D (Centre)
Group D (Centre) SL samples treated with methanol.Group D (Center)
Group D (Edge)
SL samples treated with methanol and U. V postcured for 90 min.
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0
10
20
30
40
50
60
70
80
0 2 4 6 8 10 12 14 16
True Strain (%)
Truestress(MPa)
0
5
10
15
20
25
30
35
0 5 10 15 20 25 30 35
True strain (%)
Truestress(MPa)
Bulk mechanical testing
Tensile tests 100mm/min
10mm/min
1mm/min
0.1mm/min
High temperature (600C)
100mm/min
10mm/min
1mm/min
0.1mm/min
Room temperature
B lk h i l i
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Compressive tests
Bulk mechanical testing
0
20
40
60
80
100
0 5 10 15 20 25
Strain (%)
Compressivestre
ss(MPa)
IncreasingTest rate
Compressive stress vs. strain at room temperature.
0
20
40
60
80
100
0 2 4 6 8 10 12
Test rates (mm/min)
Yieldstress(MPa)
Compression Tests
Tensile Tests
Comparison between compressive and tensileyield stress at room temperature.
B lk h i l i
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Bulk mechanical testing
Tensile creep experimental set up
Creep tests
Creep constants
B=7.35e-12
m=4.2763m
ss BDorn relation
B lk h i l t ti
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Bulk mechanical testing
DMTA
@ Displacement 0.001, 0.005,
0.01, 0.05, 0.1, 0.15 mm
@ Frequencies 1, 2, 5, 10, 100 Hz
Dynamic Properties vs Temperature
0.0E+00
2.0E+08
4.0E+08
6.0E+08
8.0E+08
1.0E+09
1.2E+09
1.4E+09
1.6E+09
1.8E+09
2.0E+09
0.0 20.0 40.0 60.0 80.0
Temperature (C)
Mo
dulus(Pa)
0.000
0.050
0.100
0.150
0.200
0.250
0.300
T
anDelta
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Finite element modelling
8 Node Quad Elements
Conical indenter with same area to depthratio as Berkovich indenter
Spherical indenter with 50 m radius
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Linear Mohr-coulomb Material Model
Finite element modelling
Fi i l d lli
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Finite element modelling
Displacments in X-direction Compression stresses in X-Direction
C l i
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Conclusions
The DSI technique has been used to characterise the mechanical behaviour of an
epoxy SL resin with respect to time under various environmental and loading conditions.
A kinetic cure model has been applied to the resin and a good correlation between
the predicted degree of cure and mechanical properties has been demonstrated.
Viscoelastic/viscoplastic behaviour has been observed in the DSI load-unload plots,
which is dependent on loading/ unloading rates and dwell period at maximum load.
FEA can be used to increase understanding of material behaviour under indentation.
C t t
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Rushabh J Vora
PhD student
Wolfson School of Mechanical and Manufacturing Engineering
Loughborough University
Contact