Elastoplastic Self-Consistent Modelling of BCC Polycrystals at Sequential Loadings

Abstract

Up to now the self-consistent method has been used to predict the behaviour of FCC polycrystals. In this paper we propose a new description of the BCC single crystal and the modelling of the complex loading paths for polycrystals. The initial internal state of the polycrystals is described by the crystallographic orientations of the lattices, the shape and orientations of grains (morphological texture), the internal stress states, the initial critical shear stresses on the crystallographic slip systems. The strain induced evolution of the internal state of the materials is followed. The results concern the texture evolution, internal and residual second order stresses, the yield surfaces evolution during proportional and sequential loadings.