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Efficient integration technique for generalized viscoplasticity coupled to damage
Author(s) -
Johansson Magnus,
Mahnken Rolf,
Runesson Kenneth
Publication year - 1999
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19990420)44:11<1727::aid-nme568>3.0.co;2-p
Subject(s) - viscoplasticity , finite element method , computer science , mathematics , structural engineering , mathematical optimization , engineering , constitutive equation
A generalized viscoplasticity theory, with kinetic coupling to damage, was presented by Johansson and Runesson. This theory, which is based on the Duvaut–Lions' concept of viscoplastic reguralization, includes the (unconventional) concept of dynamic yield surface that is approached asymptotically at infinite loading rate. In this paper, we extend the model concept to include Microcrack‐Closure‐Reopening (MCR) effects. Primarily, we deal with the issue of efficient integration and iteration for computing the stress (and other state variables) within an strain‐driven format. In particular, we demonstrate the efficiency of a novel ‘multi‐level’ Newton‐like iteration algorithm for the model problem involving von Mises quasistatic yield surface with non‐linear mixed hardening. The Algorithmic Tangent Stiffness (ATS) tensor is derived and the model is implemented in the commercial FE code ABAQUS. Copyright © 1999 John Wiley & Sons, Ltd.