Plastic Deformation of Materials Under Loading Along Piecewise Smooth Trajectories with Areas of Unloading by the Elastic Law

Abstract

Within the framework of a version of plasticity theory based on the concept of slip, we propose a method for the determination of plastic strains in materials with regard for the strain anisotropy in the case of loading applied along piecewise smooth trajectories (with areas of unloading according to the elastic law). The material function of plasticity Π used in this theory is determined, for a given function of hardening F , either from the tension–compression tests or from the tests with alternating torsion of thin-walled pipes.