Elastoplastic analysis of a rotating hollow cylinder with a rigid shaft under temperature gradient

The article is devoted to thermoelastoplastic analysis of a rotating cylinder with a rigid shaft and fixed ends. The problem statement is based on the theory of infinitesimal deformations, the Tresca yield condition, the flow rule associated with it and the law of linear isotropic hardening.
It is assumed that the cylinder is subject to stationary positive temperature gradient between the inner and outer surfaces. The mechanical and thermophysical parameters of the material are assumed to be independent of temperature. The performed analysis is limited to the loading stage.
It is found that, in the general case, six plastic regions can appear in a cylinder, corresponding to different edges and faces of the Tresca hexagon, and the evolution of plastic flow has qualitative differences from the isothermal case. For each plastic region, an exact solution of the governing equations is found. It has been established that the temperature gradient leads to a significant increase in the absolute value of stresses and plastic deformations in the cylinder and a decrease in elastic and plastic limit angular velocities.