Deformation-induced dislocation microstructures in face-centred cubic metals and alloys were considered. These dislocation microstructures induced back-stresses, which led to kinematic hardening at the macroscopic scale. A simple 2-phase localization rule was used here to compute these intragranular back-stresses. This was based upon Eshelby’s inclusion problem and the Berveiller–Zaoui approach. It took account of an accommodation factor. Closed-form formulae were given which permitted the straightforward computation of reasonable back-stress values; even for large plastic strains. Predicted back-stress values were compared with a number of back-stress experimental measurements on single crystals. The agreement of the model with experiment was encouraging. This physical intragranular kinematic hardening model could easily be implemented into a polycrystalline homogenization code or in a crystalline finite-element code. The model was considered with respect to possible plastic glide in the walls and the use of enhanced 3-phase localization models.

Analytical Modelling of Intragranular Backstresses due to Deformation Induced Dislocation Microstructures. M.Sauzay: International Journal of Plasticity, 2008, 24[5], 727-45