On a Multi-Physics Modelling Framework for Thermo-elastic-plastic Materials Processing

The present study is devoted to the boundary value problem of thermoelastoplasticity. The new analytical solution of the problem of irregularly heating of the thermo-elastic-plastic hollow cylinder was constructed. The Ishlinsky-Ivlev's and Tresca's yield conditions were used as the plastic potential. The yield stress was assumed linear depending on temperature. The thermal stresses and irreversible strains were computed and compared for different plastic potentials. It is shown that the using of the Ishlinsky-Ivlev's yield condition gives the simpler solution for boundary value problems in the irreversible deformation domains.