On Yield Criterion Choice in Thermoelastoplastic Problems

Abstract The present study is devoted to the boundary value problem of coupled thermoelastoplasticity. The temperature depended yield criterion and Duhamel Neumann constitutive equation was used. The material subjected to uneven heat treatment under plane strain frameworks was considered. The new analytical solution of the problem of uneven heat treatment of the thermoelasticplastic hollow cylinder was constructed within of the thermal stresses and plastic flow theories. The three different yield criteria were used. The original numerical scheme for calculations of temperature stresses and plastic strains in the frameworks of the von Mises yield criterion was developed and implemented. The characteristics of the plastic flow in the heating domain according to the yield criterion selection are eliminated. Constructed solutions of the boundary value problems were compared and analyzed for yield criteia of von Mises, Tresca and Ishlinsky-Ivlev.