ИСТИНА

This paper presents an elastic/plastic model that neglects strain hardening during loading, but accounts for the Bauschinger effect. These mathematical features of the model represent reasonably well the actual behavior of several materials such as high strength steels. Previous attempts to describe the behavior of this kind of materials have been restricted to a class of boundary value problems in which the state of stress in the plastic region is completely controlled by the yield stress in tension or torsion. In particular, the yield stress is supposed to be constant during loading and the forward plastic strain reduces the yield stress to be used to describe reversed yielding. This condition is too restrictive for real processes. A new model that is capable of neglecting strain hardening during loading and describing the Bauschinger effect under plane stress conditions was recently proposed. In the present paper, this new model is generalized on the state of stress and strain in simultaneous torsion and tension/ compression. The corresponding boundary value problem is solved.