An accurate, robust, and efficient finite element framework with applications to anisotropic, nearly and fully incompressible elasticity.

ABSTRACT: Fiber-reinforced soft biological tissues are typically modeled as hyperelastic, anisotropic, and nearly incompressible materials. To enforce incompressibility a multiplicative split of the deformation gradient into a volumetric and an isochoric part is a very common approach. However, the finite element analysis of such problems often suffers from severe volumetric locking effects and numerical instabilities. In this paper, we present novel methods to overcome volumetric locking phenomena for using stabilized P1-P1 elements. We introduce different stabilization techniques and demonstrate the high robustness and computational efficiency of the chosen methods. In two benchmark problems from the literature as well as an advanced application to cardiac electromechanics, we compare the approach

SUBMITTER: Karabelas E 

PROVIDER: S-EPMC7612621 | biostudies-literature | 2022 May

REPOSITORIES: biostudies-literature