Finite-element implementation of a self-consistent texture model with a hardening law based on dislocation densities

A self-consistent texture model is implemented in the finite-element code ABAQUS /Explicit. Hardening of the slip systems is described by evolution laws for dislocation densities, and the Bauschinger effect is included. With these ingredients the cold rolling of an IF-steel is simulated and the evolution of texture and anisotropy is examined. The use of the dislocation based hardening law is found to have a significant effect on the evolution of the anisotropc yield surface, but only very little influence on the texture. Furthermore, the hardening model is used to investigate the evolution of dislocation densities in differently oriented grains during plane strain compression. It is found that the dislocation density greatly depending on orientation, an observation which can help to explain the orientation dependence of recrystallization.