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Instabilities in elastomers and in soft tissues
Authors:Goriely, A   Destrade, M   Ben Amar, M
Affiliation:(Program in Applied Mathematics and Department of Mathematics, University of Arizona, Building 89, Tucson, AZ 85721, USA)
Abstract:Biological soft tissues exhibit elastic properties that canbe dramatically different from rubber-type materials (elastomers).To gain a better understanding of the role of constitutive relationshipsin determining material responses under loads we compare threedifferent types of instabilities (two in compression, one inextension) in hyperelasticity for various forms of strain-energyfunctions typically used for elastomers and for soft tissues.Surprisingly, we find that the strain-hardening property ofsoft tissues does not always stabilize the material. In particularwe show that the stability analyses for a compressed half-spaceand for a compressed spherical thick shell can lead to oppositeconclusions: a soft tissue material is more stable than an elastomerin the former case and less stable in the latter case.
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