Improved implementation of an algorithm for non-linear isotropic/kinematic hardening in elastoplasticity

In this article a modification of an algorithm by Doghri (1993) for incorporating isotropic and kinematic hardening effects in von Mises elastoplasticity is proposed, whereby the discretized rate equations are reduced to a one-dimensional problem. The resulting relations for linearization of this problem and of the global equilibrium equations are obtained in a straightforward manner, which avoids inversion of second-order tensors. A numerical example illustrates the second-order convergence rate typical for the Newton method. Copyright (C) 1999 John Wiley & Sons, Ltd.