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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

    [email protected]

    Contact