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

Christian Bourdarias; Stéphane Gerbi; Jacques Ohayon

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 37, Issue: 4, page 725-739
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Bourdarias, Christian, Gerbi, Stéphane, and Ohayon, Jacques. "A three dimensional finite element method for biological active soft tissue Formulation in cylindrical polar coordinates." ESAIM: Mathematical Modelling and Numerical Analysis 37.4 (2010): 725-739. <http://eudml.org/doc/194188>.

@article{Bourdarias2010,
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. },
author = {Bourdarias, Christian, Gerbi, Stéphane, Ohayon, Jacques},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Constitutive law; finite element method; biological tissue; hyperelasticity; nonlinear partial differential equations; anisotropic material.; hyperelastic continuum medium; thick-walled anisotropic cylinder},
language = {eng},
month = {3},
number = {4},
pages = {725-739},
publisher = {EDP Sciences},
title = {A three dimensional finite element method for biological active soft tissue Formulation in cylindrical polar coordinates},
url = {http://eudml.org/doc/194188},
volume = {37},
year = {2010},
}

TY - JOUR
AU - Bourdarias, Christian
AU - Gerbi, Stéphane
AU - Ohayon, Jacques
TI - A three dimensional finite element method for biological active soft tissue Formulation in cylindrical polar coordinates
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 37
IS - 4
SP - 725
EP - 739
AB - 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.
LA - eng
KW - Constitutive law; finite element method; biological tissue; hyperelasticity; nonlinear partial differential equations; anisotropic material.; hyperelastic continuum medium; thick-walled anisotropic cylinder
UR - http://eudml.org/doc/194188
ER -

References

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