Table Of ContentModeling Rubber and Viscoelasticity with Abaqus
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Motivation
• Rubber materials are found in many components.
• Some of these are illustrated on the following slide.
• Rubber applications include tires, gaskets, and bushings, among
others.
| sem • The vast number of applications that use rubber materials necessitates
ètsyS a good understanding of the modeling techniques used to analyze
tluassaD rubber components.
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Modeling Rubber and Viscoelasticity with Abaqus
Motivation
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© | m Tires Medical Devices Seals
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Packaging
Electronics, consumer
products
Bushings, mounts, etc.
Modeling Rubber and Viscoelasticity with Abaqus
Day 1
• Lecture 1 Rubber Physics
• Lecture 2 Introduction to Rubber Elasticity Models
• Lecture 3 Mechanical Testing
• Workshop 1
| semètsyS • Lecture 4 Defining Rubber Elasticity Models in Abaqus
tluassaD • Lecture 5 Modeling Issues and Tips
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Modeling Rubber and Viscoelasticity with Abaqus
Day 2
• Lecture 6 Viscoelastic Material Behavior
• Lecture 7 Time-Domain Viscoelasticity
• Workshop 3
• Lecture 8 Frequency-Domain Viscoelasticity
| semètsyS • Workshop 4
tluassaD • Lecture 9 Permanent Set in Solid Elastomers
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Modeling Rubber and Viscoelasticity with Abaqus
Additional Material
• Appendix 1 Finite Deformations
• Appendix 2 Rubber Elasticity Models: Mathematical Forms
• Appendix 3 Linear Viscoelasticity Theory
• Appendix 4 Harmonic Viscoelasticity Theory
| semètsyS • Appendix 5 Suggested Reading
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Modeling Rubber and Viscoelasticity with Abaqus
Legal Notices
The Abaqus Software described in this documentation is available only under license from
Dassault Systèmes and its subsidiary and may be used or reproduced only in accordance with the
terms of such license.
This documentation and the software described in this documentation are subject to change
without prior notice.
Dassault Systèmes and its subsidiaries shall not be responsible for the consequences of any
| sem errors or omissions that may appear in this documentation.
ètsyS tluassaD Npeor mpaisrts ioofn t hoifs D daoscsuamueltn Staytsiotènm measy o br eit sre spurbosdiudciaerdy .or distributed in any form without prior written
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Systèmes or its subsidiaries in the US and/or other countries.
Other company, product, and service names may be trademarks or service marks of their
respective owners. For additional information concerning trademarks, copyrights, and licenses,
see the Legal Notices in the Abaqus 6.11 Release Notes and the notices at:
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Modeling Rubber and Viscoelasticity with Abaqus
Revision Status
Lecture 1 5/11 Updated for 6.11 Workshop 1 5/11 Updated for 6.11
Lecture 2 5/11 Updated for 6.11 Workshop 2 5/11 Updated for 6.11
Lecture 3 5/11 Updated for 6.11 Workshop 3 5/11 Updated for 6.11
Lecture 4 5/11 Updated for 6.11 Workshop 4 5/11 Updated for 6.11
Lecture 5 5/11 Updated for 6.11 Workshop Answers 1 5/11 Updated for 6.11
| sem Lecture 6 5/11 Updated for 6.11 Workshop Answers 2 5/11 Updated for 6.11
ètsyS Lecture 7 5/11 Updated for 6.11 Workshop Answers 3 5/11 Updated for 6.11
tluassaD Lecture 8 5/11 Updated for 6.11 Workshop Answers 4 5/11 Updated for 6.11
© Lecture 9 5/11 Updated for 6.11
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| Appendix 2 5/11 Updated for 6.11
Appendix 3 5/11 Updated for 6.11
Appendix 4 5/11 Updated for 6.11
Appendix 5 5/11 Updated for 6.11
Modeling Rubber and Viscoelasticity with Abaqus
Rubber Physics
Lecture 1
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L1.2
Overview
• Solid Rubber • Rubber Foam
• Molecular Structure • Physical Description
• Material Processing • Cellular Structure
• Glass Transition Temperature • Typical Stress–Strain Response
| semètsyS • Nearly Incompressible Behavior • Poisson’s Effect
tluassaD • Typical Stress–Strain
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• Damage
• Anisotropy
• Thermoplastic Elastomers
• Physical Description
• Advantages and Disadvantages
Modeling Rubber and Viscoelasticity with Abaqus
Introduction to Rubber Elasticity Models
Lecture 2
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L2.2
Overview
• Introduction
• Models for Solid Rubber Elasticity
• Mullins Effect
• Model for Foam Rubber Elasticity
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Modeling Rubber and Viscoelasticity with Abaqus
Mechanical Testing
Lecture 3
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L3.2
Overview
• Modes of Deformation
• Uniaxial Tension
• Planar Tension
• Uniaxial Compression
| semètsyS • Equibiaxial Tension
tluassaD • Confined Compression (for volumetric response)
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• Test Specimens
• Test Data Guidelines
• Testing for Time-Dependent Properties
Modeling Rubber and Viscoelasticity with Abaqus
Defining Rubber Elasticity Models in Abaqus
Lecture 4
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L4.2
Overview
• Curve-Fitting for Solid Rubber Elasticity
• Material Stability
• Curve-fitting in Abaqus/CAE
• Choosing a Hyperelastic Model
| semètsyS • Defining Hyperelastic Models
tluassaD • Mullins Effect
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Modeling Rubber and Viscoelasticity with Abaqus
Modeling Issues and Tips
Lecture 5
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L5.2
Overview
• Contact • Output Variables
• Element Selection • Using Abaqus/Explicit for Rubber
• Overview Analyses
• First-Order or Second-Order? • Special Features
| sem • Full or Reduced Integration? • Example: Column Shifter Boot
ètsyS • Regularor Hybrid?
tluassaD • Incompatible Modes • Example: Weather Seal
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• Constraints and Reinforcements
• Instability
• Material Instability
• Structural Instability
• Surface Wrinkling and Folding
Modeling Rubber and Viscoelasticity with Abaqus
Viscoelastic Material Behavior
Lecture 6
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L6.2
Overview
• Introduction
• Effects of Viscoelasticity
• Creep
• Stress Relaxation
| semètsyS • Damping and Hysteresis
tluassaD • Linear Viscoelasticity
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Modeling Rubber and Viscoelasticity with Abaqus
Description:Modeling Rubber and Viscoelasticity with Abaqus. Day 2. • Lecture 6. Viscoelastic Material Behavior. • Lecture 7. Time-Domain Viscoelasticity.
