THE SIMPLE TENSION PROBLEM AT LARGE VOLUMETRIC STRAINS COMPUTED FROM FINITE HYPERELASTIC MATERIAL LAWS

In this paper, different formulations of finite isotropic hyperelastic material laws for compressible solids are considered. Material laws w ith an additive split of the hyperelastic strain energy function into isochoric parts and volumetric parts are often used in the numerical t reatment of nearly incompressible solids. It will be shown that this f ormulation leads to unphysical results in the simple tension problem w hen we do not restrict ourselves to nearly incompressible materials.