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Miller Axel ANSYS 2013 Detroit

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2013 Regional Conference

Testing of Elastomers and Plastics in


Support of Analysis

Kurt Miller, Axel Products, Inc.


www.axelproducts.com

1 © 2013 ANSYS, Inc. June 3, 2013 ANSYS Confidential


axelproducts.com

2 © 2013 ANSYS, Inc. June 3, 2013 ANSYS Confidential


Rubber Bands

3 © 2013 ANSYS, Inc. June 3, 2013 ANSYS Confidential


Compression

4 © 2013 ANSYS, Inc. June 3, 2013 ANSYS Confidential


Compression

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A Spring and a Dashpot?

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What does Incompressible Mean?

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Volumetric Compression
Poisson’s ratio approaching 0.5 means infinite bulk modulus, K
For elastomer materials Poisson’s ratio is difficult or impossible to measure
accurately. For plastic materials, it is hard to measure VC accurately. Measure
Pressure-Volume directly, compute K (or D1 in ABAQUS)

K/G Relationship to Poisson's Ratio

100

80
K/G
60
K 2 1
K/G

G 3 1 2
40

20

0
0.3 0.32 0.34 0.36 0.38 0.4 0.42 0.44 0.46 0.48 0.5

Poisson's Ratio
8 © 2013 ANSYS, Inc. June 3, 2013 ANSYS Confidential
Incompressibility

Not a spring and dashpot

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Confinement can be
Significant

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Hyperelastic Models Define a Surface

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Rubber

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Simple Tension
•Uniaxial loading
•Free of lateral constraint Gage Section:
Length:Width
>10:1

13 © 2013 ANSYS, Inc. June 3, 2013 ANSYS Confidential


Planar Tension

1. Uniaxial loading
2. Perfect lateral constraint
3. All thinning occurs in one direction

14 © 2013 ANSYS, Inc. June 3, 2013 ANSYS Confidential


Equal Biaxial Extension

Why?
1. Same Strain State as
Compression
2. Can Not Do Pure Compression
3. Can Do Pure Biaxial

15 © 2013 ANSYS, Inc. June 3, 2013 ANSYS Confidential


Loading Conditions

Some common Elastomers exhibit dramatic strain amplitude and


cycling effects at moderate strain levels

Conclusions:
1. Test to Realistic Strain
Levels
2. Use Application
Specific Loadings to
Generate Material Data
3. Need to load and unload
to separate elastic from
plastic

16 © 2013 ANSYS, Inc. June 3, 2013 ANSYS Confidential


Loading Conditions

Some common Elastomers exhibit dramatic strain amplitude and


cycling effects at moderate strain levels

Conclusions:
1. Test to Realistic Strain
Levels
2. Use Application
Specific Loadings to
Generate Material Data
3. Need to load and unload
to separate elastic from
plastic

17 © 2013 ANSYS, Inc. June 3, 2013 ANSYS Confidential


Loading Conditions

Some common Elastomers exhibit dramatic strain amplitude and


cycling effects at moderate strain levels

Conclusions:
1. Test to Realistic Strain
Levels
2. Use Application
Specific Loadings to
Generate Material Data
3. Need to load and unload
to separate elastic from
plastic

18 © 2013 ANSYS, Inc. June 3, 2013 ANSYS Confidential


Loading Conditions
Some common elastomers exhibit dramatic strain amplitude and
cycling effects at moderate strain levels

Conclusions:
1. Pick one level
2. Use Mullins Model
3. Use FeFp
4. Use large strain
hysteresis model

19 © 2013 ANSYS, Inc. June 3, 2013 ANSYS Confidential


Thermoplastic Elastomers
Increasingly used to replace elastomers
Rubber inside of plastic
Plasticity and Flow

Conclusions:
1. Pick one level
2. Use Mullins Model
3. Use Viscoelastic
4. Use large strain
hysteresis model

20 © 2013 ANSYS, Inc. June 3, 2013 ANSYS Confidential


Thermoplastic Elastomers

21 © 2013 ANSYS, Inc. June 3, 2013 ANSYS Confidential


Teflon

Conclusions:
1. Pick one level
2. Use FeFp

22 © 2013 ANSYS, Inc. June 3, 2013 ANSYS Confidential


Hyperelastic Models
• Material response is isotropic, isothermal, and
elastic and is assumed fully or nearly
incompressible.
• There are many hyperelastic models available
in ANSYS which can cover wide varieties of
elastomers used in Industries.

Available Hyperelastic models:


• Arruda-Boyce Hyperelastic Material
• Blatz-Ko Foam Hyperelastic Material
• Extended Tube Material
• Gent Hyperelastic Material
• Mooney-Rivlin Hyperelastic Material
• Neo-Hookean Hyperelastic Material
Specialized Hyperelastic models:
• Ogden Compressible Foam Hyperelastic Material
• Ogden Hyperelastic Material • Anisotropic Hyperelastic Material
• Polynomial Form Hyperelastic Material • Bergstrom-Boyce Material
• Response Function Hyperelastic Material • Mullins effect
• Yeoh Hyperelastic Material • User-Defined Hyperelastic Material
23 © 2013 ANSYS, Inc. June 3, 2013 ANSYS Confidential
Hyperelastic Models
Curve Fitting feature
• Material curve fitting allows you to derive coefficients from experimental data that
you provide for your material.
• With this capability, you compare experimental data versus program-calculated data
for different nonlinear models and determine the best material model to use.
• ANSYS provides curve-fitting, based on experimental data, for all of the available
hyperelastic models. Any of the hyperelasticity models in ANSYS can be used.

24 © 2013 ANSYS, Inc. June 3, 2013 ANSYS Confidential


Experimental Elastomers Training at Axel
Products
ANSYS teams with Axel Product, Inc.
(www.axelproducts.com) to offer this course that
covers material testing, material modeling and
finite element analysis of elastomers.

25 © 2013 ANSYS, Inc. June 3, 2013 ANSYS Confidential


A General Strategy

1. Understand the loading conditions of the part


2. Understand the general behavior of the materials
involved
3. Select the significant material behaviors
4. Use existing or develop material models to describe the
behavior
5. Verify the performance of the material model

26 © 2013 ANSYS, Inc. June 3, 2013 ANSYS Confidential

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