Instabilities in elastomers and soft tissues

Details Instabilities in elastomers and soft tissues Instabilities in elastomers and soft tissues

2007-11-29

arxiv.org/abs/0711.4664v1

The Quarterly Journal of Mechanics and Applied Mathematics 59 (2006) 615-630

Physics

Condensed Matter

Soft Condensed Matter

16 pages

Scientific paper

10.1093/qjmam/hbl017

Biological soft tissues exhibit elastic properties which 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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