Generalisations of the strain-energy function of linear elasticity to model biological soft tissue

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Title: Generalisations of the strain-energy function of linear elasticity to model biological soft tissue
Authors: Gilchrist, M. D.
Murphy, Jeremiah G.
Rashid, Badar
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Date: Mar-2012
Abstract: Strain measures consistent with the classical, infinitesimal form of the strain-energy function are obtained within the context of isotropic, homogeneous, compressible, non-linear elasticity. It will be shown that there are two distinct families of such measures. One family has already been much studied in the literature, the most important member being the strains whose principal values are a function only of the corresponding principal stretches. The second family of strains appears new. The motivation for studying such strains is the intuitive expectation that, for at least moderate deformations, a good fit with experimental data from material characterisation tests will be obtained with the corresponding strain-energy functions. In particular, there is the expectation that such models could prove useful for the modelling of biological soft tissue, whose physiological response is characterised by moderate strains. It will be shown that this is indeed the case for simple tension tests on porcine brain tissue.
Type of material: Journal Article
Publisher: Elsevier
Journal: International Journal of Non-Linear Mechanics
Volume: 47
Issue: 2
Start page: 268
End page: 272
Copyright (published version): 2012 Elsevier
Keywords: Classical strain-energy functionModerate deformationsNon-linear elasticityNon-linear elasticitySoft tissue
DOI: 10.1016/j.ijnonlinmec.2011.06.004
Language: en
Status of Item: Peer reviewed 2013-09-25T12:43:54Z
Appears in Collections:Mechanical & Materials Engineering Research Collection

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