Non-local versus local behaviour of microheterogeneous metals

Abstract
Modelization of the elastoplastic behavior of metallic polycrystals based on micro-macro transitions using the powerful self-consistent scheme was developed for a local constitutive equation at the single crystal level. Numerical results concerning yield surface, subsequent yield surface, induced texture and plastic as well as elastic anisotropy, second order residual stresses and stored energy are in good agreement with experimental results. Despite this success some basic aspects of plasticity are not taken into account in the usual self-consistent scheme with local behavior at the grain level. They concern mainly the process of heterogeneization by plastic straining related to the spontaneous formation of dislocation pattern which is described through non-local as well as convective effects.