Modeling texture evolution during monotonic loading of Zn-Cu-Ti alloy sheet using the viscoplastic self-consistent polycrystal model

Abstract

The aim of the present work is to simulate the macroscopic, anisotropic mechanical response and texture evolution of Zn-Cu-Ti alloy sheet under uniaxial tension and simple shear taking into account the grain fragmentation process due to continuous dynamic recrystallization (CDRX). The Visco-Plastic Self-Consistent (VPSC) model is applied using the affine linearization procedure, and the effect of CDRX on texture evolution is mimicked by empirically enforcing the continuity of the lattice rotation field between pairs of orientations randomly chosen. The proposed model is validated by tensile and shear tests at different loading directions; specimens were cut at 0°, 45°, and 90° with respect to the rolling direction. We show that the mechanical response and the texture evolution are adequately reproduced taking into account the effect of CDRX on the crystallographic orientations. In particular, the typical splitting of the basal poles predicted by VPSC simulations without the recrystallization effect when tensile loading is aligned to the transverse direction is avoided, in agreement with the experimental evidence. The proposed mechanics of short-range interaction can effectively mimic, in a very simple way, the effects of CDRX on the texture evolution of Zn-Cu-Ti alloy sheet under monotonic loadings.