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A three dimensional finite element method for biological active soft tissue Formulation in cylindrical polar coordinates

Published online by Cambridge University Press:  15 November 2003

Christian Bourdarias ,
Stéphane Gerbi  and
Jacques Ohayon
Christian Bourdarias
Affiliation:
Laboratoire de Mathématiques, Université de Savoie, Savoie Technolac, 73376 Le Bourget du Lac, France. Christian.Bourdarias@univ-savoie.fr., Stephane.Gerbi@univ-savoie.fr.
Stéphane Gerbi
Affiliation:
Laboratoire de Mathématiques, Université de Savoie, Savoie Technolac, 73376 Le Bourget du Lac, France. Christian.Bourdarias@univ-savoie.fr., Stephane.Gerbi@univ-savoie.fr.
Jacques Ohayon
Affiliation:
Laboratoire TIMC-IMAG, Dynacell, UMR CNRS 5525, Domaine de la Merci, 38706 Grenoble, France. Jacques.Ohayon@univ-savoie.fr.
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Abstract

A hyperelastic constitutive law, for use in anatomically accurate finite element models of living structures, is suggested for the passive and the active mechanical properties of incompressible biological tissues. This law considers the passive and active states as a same hyperelastic continuum medium, and uses an activation function in order to describe the whole contraction phase. The variational and the FE formulations are also presented, and the FE code has been validated and applied to describe the biomechanical behavior of a thick-walled anisotropic cylinder under different active loading conditions.

Keywords

Constitutive lawfinite element methodbiological tissuehyperelasticitynonlinear partial differential equationsanisotropic material.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 37 , Issue 4: Special issue on Biological and Biomedical Applications , July 2003 , pp. 725 - 739
Copyright
© EDP Sciences, SMAI, 2003

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