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

Christian Bourdarias, Stéphane Gerbi, Jacques Ohayon

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)725-739
Number of pages15
JournalMathematical Modelling and Numerical Analysis
Volume37
Issue number4
DOIs
StatePublished - Jul 2003

Keywords

  • Anisotropic material
  • Biological tissue
  • Constitutive law
  • Finite element method
  • Hyperelasticity
  • Nonlinear partial differential equations

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Modeling and Simulation
  • Computational Mathematics
  • Applied Mathematics

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