Journal Article


Badar Rashid
Jeremiah G. Murphy
M. D. Gilchrist



moderate deformations classical strain energy function energy model brain tissue experimental data non linear elasticity soft tissue

Generalisations of the strain-energy function of linear elasticity to model biological soft tissue (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.
Collections Ireland -> University College Dublin -> Mechanical & Materials Engineering Research Collection
Ireland -> University College Dublin -> College of Engineering & Architecture
Ireland -> University College Dublin -> School of Mechanical and Materials Engineering

Full list of authors on original publication

Badar Rashid, Jeremiah G. Murphy, M. D. Gilchrist

Experts in our system

Badar Rashid
University College Dublin
Total Publications: 16
Jeremiah G Murphy
Dublin City University
Total Publications: 16
M. D. Gilchrist
University College Dublin
Total Publications: 172