Contribution to the study of isotropic and anisotropic hardening in finite elastoplastic strains

After a short recall concerning isotropic hardening, anisotropic hardening is studied: a model based on the assumption that the tonsorial internal variable is a plastic strain is developed and applied to model the elastic and plastic induced anisotropy. This model is used particularized for kinematic hardening. Another model which supposes that the internal variable is not the plastic strain tensor but it is a deformations but it is a tonsorial variable definite from an evolution law.