On the basis of hysteresis loop analysis (cyclic diagram) there are distinguished three parts, which characterize different behaviors of stresses, that is distinguished three types of stresses. For each type of stresses there are formulated corresponding evolutionary equations for anisotropic hardening. For description isotropic hardening the evolutionary equation with parameter of saturation for second type stresses is introduced. The deviator of stresses is determined as sum of three types of stresses. For description of the non-linear process of accumulation damages the kinetic equation is introduced, basing on energetic principle, where in quality of energy, which expending on creating of damages in material there is energy equal work of second type stresses on full deformation field. The material functions, which completed the theory and subjected to experimental determining, are distinguished.