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

被引：9

作者：

Bourdarias, C ^{[1
]}

Gerbi, S

Ohayon, J

机构：

[1] Univ Savoie, Math Lab, F-73376 Le Bourget Du Lac, France

[2] Imag Lab Grenoble, Lab TIMC, Dynacell, CNRS,UMR 5525, F-38706 Grenoble, France

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2003年 / 37卷 / 04期

关键词：

constitutive law; finite element method; biological tissue; hyperelasticity; nonlinear partial differential equations; anisotropic material;

D O I：

10.1051/m2an:2003044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：725 / 739

页数：15

共 19 条

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