Development of a new algorithm for the time integration of rate-independent crystal plasticity models

Abstract

The aim of this paper is to develop a new efficient integration scheme, able to integrate the constitutive equations for rate-independent theory of crystal plasticity at finite strain. This algorithm proposes an efficient method to determine the set of active slip systems and the corresponding slip rates. This method is based on the use of a smooth formulation of the Schmid law. The issue of nonuniqueness in the determination of slip rates can be overcome by using two different numerical techniques.