On the theoretical and numerical modelling of Armstrong-Frederick kinematic hardening in the finite strain regime. (Q1430718)

The main goal is to compare between different finite strain models for kinematic hardening and to develop a computationally efficient implicit integration scheme which preserves the plastic volume. The theoretical formulations can be divided into two classes: (1) Chaboche-type models; (2) rheologically based concepts. Both approaches are about equally complex and well appropriate to describe experimental results. As one advantange of the second group one could mention its more direct relation to formulations of anisotropic inelasticity based on structure tensors. Apart from this aspect, however, the preference for (1) or (2) remains a matter of taste.