Compression tests and constitutive models for the slight compressibility of elastic rubber-like materials

Constitutive models are proposed for the deformations of slightly compressible (or nearly incompressible) rubbers based solely on their experimentally observed response in compression tests. For small volume change, it has been observed in a variety of such tests that there is a linear relation betw...

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Bibliographic Details
Published in:International journal of engineering science 2009-11, Vol.47 (11), p.1232-1239
Main Authors: Horgan, Cornelius O., Murphy, Jeremiah G.
Format: Article
Language:English
Subjects:
Applied sciences
Compressibility
Compression tests
Constitutive models
Constitutive relationships
Density
Elastic rubber-like materials
Elastomers
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Industrial polymers. Preparations
Invariants
Mathematical models
Physics
Polymer industry, paints, wood
Rubber
Slight compressibility
Solid mechanics
Static elasticity (thermoelasticity...)
Strain
Structural and continuum mechanics
Technology of polymers
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Summary:Constitutive models are proposed for the deformations of slightly compressible (or nearly incompressible) rubbers based solely on their experimentally observed response in compression tests. For small volume change, it has been observed in a variety of such tests that there is a linear relation between the applied pressure and volume change. We show how this relation leads to several different forms of the strain-energy density depending on the particular strain invariants used. The well known Levinson–Burgess strain-energy for slightly compressible rubber is recovered as a special case.
ISSN:0020-7225
1879-2197
DOI:10.1016/j.ijengsci.2008.10.009