Grain shape effect on the biaxial elastic–inelastic behavior of polycrystals with a self-consistent approach

A simplified interaction law is derived describing the non-linear elastic–inelastic behavior of FCC polycrystals. The approach considers that the inclusion (grain) shape is ellipsoidal. A parametric study of the model parameters is carried out, particularly related to the inclusion shape and the new parameter of interaction law. The influence of these parameters on the polycrystal hardening (kinematic and isotropic) is studied using the yield surface evolution concept.