Elastoplastic invariant relation for deformation of solids

This paper considers the basic laws of localized plastic flow in solids obtained from an experimentally established relation invariant for plastic and elastic deformation that determine the propagation velocities of localized plasticity autowaves, the dispersion of these waves, and the dependence of the autowave length on the grain size. The relationship of the equations of localized plasticity and the equations of dislocation dynamics is established.