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 language | English (US) |
|---|---|
| Pages (from-to) | 725-739 |
| Number of pages | 15 |
| Journal | Mathematical Modelling and Numerical Analysis |
| Volume | 37 |
| Issue number | 4 |
| DOIs | |
| State | Published - 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