Type

Journal Article

Authors

B Pierrat
J G Murphy
D MacManus
M D Gilchrist

Subjects

Engineering

Topics
finite element finite element method collagen fibres compressibility arterial tissue implementation soft tissue experimental data

A new formulation of slight compressibility for arterial tissue and its Finite Element implementation. (2016)

Abstract In order to avoid the numerical difficulties in locally enforcing the incompressibility constraint using the displacement formulation of the Finite Element Method, slight compressibility is typically assumed when simulating the mechanical response of arterial tissue. The current standard method of accounting for slight compressibility of hyperelastic soft tissue assumes an additive decomposition of the strain-energy function into a volumetric and a deviatoric part. This has been shown, however, to be inconsistent with the linear theory and results in cubes retaining their cuboid shape under hydrostatic tension and compression, which seems at variance with the reinforcement of arterial tissue with two families of collagen fibres. A remedy for these defects is proposed here, a solution which generalises the current standard model of slight compressibility to include two additional terms, one of which is quadratic in the [Formula: see text] invariants and the other quadratic in [Formula: see text]. Experimental data are used to motivate typical values for the associated material constants of these additional terms. Some simulations are performed to allow contrasts and comparisons to be made between the current standard model of slight compressibility and its generalisation proposed here.
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Full list of authors on original publication

B Pierrat, J G Murphy, D MacManus, M D Gilchrist

Experts in our system

1
Baptiste Pierrat
Dublin City University
Total Publications: 8
 
2
Jeremiah G Murphy
Dublin City University
Total Publications: 16
 
3
David B MacManus
Dublin City University
Total Publications: 9
 
4
M. D. Gilchrist
University College Dublin
Total Publications: 172