Some aspects of plastic deformation theory with an account for thermally activated dislocation transformations

Abstract

The simplest scheme for the description of a plastic deformation processes is proposed. It includes kinetic equations which describe the time dependence of the density of mobile and immobile dislocations as a result of their transformations and the appearance of new dislocations. The stationary solution of kinetic equations which is valid for the time much longer than the characteristic time of relaxation of the dislocation system is investigated. For the shear stress, which ensures a given strain, both the normal and anomalous temperature dependences as well as normal strain rate dependence are obtained with thermally activated dislocation transformations being taken into account. The proposed model is used to explain the peak in the curve of the temperature dependence of the stress observed experimentally in the ordered alloys of Cu3Au type.