Crystal plasticity theories and their applications to the description of inelastic deformations of materials. Part 3: hardening theories, gradient theories

Provides an overview of a wide class of plasticity theories, known as crystal plasticity theories, based on the wording of constitutive relations, hypotheses and the main postulates of which lies in the consideration of explicit mechanisms of deformation at the meso- and microscale levels. The third part of the review is devoted to issues related to the mono- and polycrystals hardening description in existing crystal plasticity theories. Slip systems hardening in crystallites plays an extremely important role in crystal plasticity because largely determine the adequacy of this class of models. The models of generalized continua (including the gradient theory) are also considered.