PRESSURE STABILIZED LINEAR TETRAHEDRAL ELEMENT FOR LARGE DEFORMATION PROBLEMS OF HYPERELASTICITY

Abstract

In this paper, the author proposes a finite element procedure based on a mixed variational formulation for incompressible and nearly incompressible hyperelasticity. The displacement field is approximated by the linear tetrahedral element and the pressure is assumed to be constant for each element. The inf-sup condition is circumvented by the stabilization technique using jump on element interface. The numerical properties of the proposed procedure are evaluated by an extended variant of the method of manufactured solution (MMS), which is developed by the author and can be applied to large deformation problems of hyperelasticity.