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

In this article a modification of an algorithm by Doghri (1993) for incorpo rating isotropic and kinematic hardening effects in von Mises elastoplastic ity is proposed, whereby the discretized rate equations are reduced to a on e-dimensional problem. The resulting relations for linearization of this pr oblem and of the global equilibrium equations are obtained in a straightfor ward manner, which avoids inversion of second-order tensors. A numerical ex ample illustrates the second-order convergence rate typical for the Newton method. Copyright (C) 1999 John Wiley & Sons, Ltd.