Efficient integration technique for generalized viscoplasticity coupled to damage

A generalized viscoplasticity theory, with kinetic coupling to damage, was presented by Johansson and Runesson.1 This theory, which is based on the Duvaut{Lionsʹ concept of viscoplastic reguralization, includes the (unconventional) concept of dynamic yield surface that is approached asymptotically at in nite loading rate. In this paper, we extend the model concept to include Microcrack-Closure-Reopening (MCR) e ects. Primarily, we deal with the issue of e cient integration and iteration for computing the stress (and other state variables) within an strain-driven format. In particular, we demonstrate the e ciency of a novel `multi-levelʹ Newton-like iteration algorithm for the model problem involving von Mises quasistatic yield surface with non-linear mixed hardening. The Algorithmic Tangent Sti ness (ATS) tensor is derived and the model is implemented in the commercial FE code ABAQUS. Copyright