Continuum micro-mechanics of elastoplastic polycrystals

The internal inhomogeneities of stress and strain in an arbitrarily deformed aggregate of elasto-plastic crystals are evaluated theoretically. A tensor constitutive law of a general kind is assumed for the individual crystals. The implied mechanical properties of the aggregate as a whole are estimated by means of a self-consistent model akin to one used by Hershey (1954), Kröner (1958, 1961) and Budiansky and Wu (1962), but differing in significant respects.