Quasi-Static behavior as a limit process of a dynamical one for an anisotropic hardening material

The damage is explained by appearance of dislocations, their migration to surface. The destruction is synchronized with the discontinuity of a measure-displacement. The elastic state is calculated from a sweeping process for a residual stress. The anisotropic hardening state can be reduced by selecting of a plastic strain rate. Prandtl-Reuss constitutive law offer solution by potentiality in anisotropic case.