Aspects of non-associated single crystal plasticity: Influence of non-schmid effects and localization analysis

Abstract

The aim of this work is the consideration of so-called non-Schmid effects within non-associated single crystal plasticity at small strains. To this end, two additional activating mechanisms for dislocation flow on a slip system are modelled. For convenience the corresponding algorithmic setting is discussed in the sequel. Next, the influence of non-Schmid effects and non-associativity on the response behaviour of a single crystal within a simple shear deformation is examined. Subsequently, the theoretical framework for the localization analysis within multisurface plasticity is presented. Finally, the impact of non-Schmid effects on the orientation of a possible localization band and the corresponding critical hardening modulus are investigated for a simple model problem.