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Instabilities in elastomers and soft tissues

Destrade, Michel
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Identifiers
http://hdl.handle.net/10379/3166
 https://doi.org/10.13025/15283
Publication Date
2006-09-15
Keywords
Biological soft tissues, Nonlinear elasticity
Type
Article
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GORIELY, A., DESTRADE, M., BEN AMAR, M. (2006) 'Instabilities in elastomers and soft tissues'. Quarterly Journal of Mechanics and Applied Mathematics, 56 :615-630.
Abstract
Biological soft tissues exhibit elastic properties that can be dramatically different from rubber-type materials (elastomers). To gain a better understanding of the role of constitutive relationships in determining material responses under loads we compare three different types of instabilities (two in compression, one in extension) in hyperelasticity for various forms of strain-energy functions typically used for elastomers and for soft tissues. Surprisingly, we find that the strain-hardening property of soft tissues does not always stabilize the material. In particular we show that the stability analyses for a compressed half-space and for a compressed spherical thick shell can lead to opposite conclusions: a soft tissue material is more stable than an elastomer in the former case and less stable in the latter case.
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Publisher
Oxford Journals
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Mathematics (Scholarly Articles)