INEXACT NEWTON SOLVERS IN INCREMENTAL PLASTICITY

This paper summarizes results obtained in the references [1-4] where t he convergence of Newton-type iterative methods for the solution of la rge nonlinear systems; appearing from the incremental finite element ( FE) solution of problems of elasto-plasticity, have been studied. The convergence of Newton-type methods is discussed for two variants of th e incremental FE technique, which differ in the procedure of stress co mputation within the load increments. This procedure uses the elasto-p lastic constitutive relations or the return mapping of a trial stress onto the yield surface. The presented results concern solution of simp le elasto-plasticity problems, a model example will be von Mises plast icity with isotropic strain hardening.