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An anisotropic viscoelastic model for collagenous soft tissues at large strains – Computational aspects
Author(s) -
Ehret Alexander E.,
Itskov Mikhail,
Weinhold Georg W.
Publication year - 2009
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200910055
Subject(s) - viscoelasticity , anisotropy , finite element method , constitutive equation , symmetry (geometry) , key (lock) , materials science , mechanics , computer science , physics , mathematics , geometry , composite material , thermodynamics , optics , computer security
This paper focusses on computational aspects related to a recently proposed anisotropic viscoelastic model for soft biological tissues at large strains [1]. A key aspect of this model is the generalisation of micromechanically motivated one‐dimensional constitutive equations to three dimensions by numerical integration over the unit sphere. A strong effect of this procedure on the accuracy and in particular on the material symmetry of the model is observed. Finally a finite element example of an artery subject to normotensive blood pressure is presented. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)