Formation of irregular pattern of localized plasticity at the stage of transition from linear to the stage of parabolic hardening

Abstract

During the transition from the stage of linear to the stage of parabolic hardening, the formation of an irregular pattern is experimentally observed. The reasons and conditions for the formation of such a pattern are considered. A deformable medium is considered as a non-linear system with a continuously changing structure on two spatial and temporal scales. Kinetics of structural relaxation of a deformable medium. is described by a system of two nonlinear equations of parabolic type for dynamic order parameters. Based on the analysis of the solutions of the kinetic equations, it is shown that the solutions of the equations at the intermediate stage are static autosolitons.