A fully coupled elastoviscoplastic damage model at finite strains for mineral filled semi-crystalline polymer

Abstract

A phenomenological finite strain non-associated elastoviscoplastic model coupled with damage is proposed in order to simulate the behaviour of a 20% mineral filled semi-crystalline polymer for a large strain rate range under several loading conditions. In the proposed model, the direct relation between the logarithmic rate of the Eulerian Hencky strain tensor (work-conjugate of the Cauchy stress) with the additively decomposition of the stretching tensor in an elastic and a viscoplastic part is used. The viscoplastic formulation is developed with the association of a pressure dependent yield surface coupled with damage to take the rate and the pressure dependency into account. In order to capture the non-isochoric deformation involving expansion under tensile loading and compaction under compression loading, a viscoplastic potential is developed. This model is implemented in a user-material subroutine in an implicit finite element code with a fully implicit viscoplastic return scheme for solid and shell elements. The particular case of shell elements is dealt with by using a second iteration loop to ensure the zero-normal-stress condition. All the material parameters are identified from experimental tests carried out at several kinds and speed loadings. Numerical responses of the proposed model are close to the experiments for several kinds and speed loadings.