ABSTRACT
The basic open problem of nonlinear elasticity theory is to find a meaningful formulation for the basic elasticity describing the material behavior of elastomer components in order to obtain reasonable parameter calibrations in the range of large deformations. The exponentiated Hencky energy in (Neff, Ghiba, & Lankeit 2015) based on the logarithmic strain tensor ϵlog = ln λ combines several advantageous features for the description of rubber–like behaviour: an isochoric-volumetric split, invertible Cauchy stress–stretch relation, extremely large ellipticity domain, strain hardening response and only four material parameters in the compressible setting with a clear physical meaning. We apply this formulation to the problem by eversion of cylindrical tubes. Finite element simulations show the possibility to capture the experimentally observed deformation response, see (Gent & Rivlin 1952) and (Liang, Tao, & Cai 2015). A comparison with neo–HOOKE– and MOONEY–RIVLIN–formulations is given.
