A Linear Complementarity formulation of rate-independent finite-strain elastoplasticity. Part II: Calculation of bifurcation and limit points

Abstract

A methodology for the numerical solution of discretized boundary value problems that involve rate-independent, elastic-plastic finite-strain models is developed. The formulation is given in terms of a structural Linear Complementarity Problem. A methodology for the determination of bifurcation and limit points along an equilibrium path is described. The proposed method is suited particularly for plasticity models that involve yield surfaces with singular points (corners, edges, apexes, etc.). (c) 2011 Elsevier Masson SAS. All rights reserved.