thermal stress, ideal plasticity, yield, heat conduction, thermoelasticity

A number of boundary value problems of the theory of thermoelastoplastic deformation of a material under conditions of toroidal symmetry are presented. The process of elastic unloading of a heated object is considered. The fields of residual stresses and displacements are calculated. Exact formulas are obtained for the analytical solution of the stated boundary value problem.

Dats Evgeniy Pavlovich PhD, Researcher, Institute of Applied Mathematics of FEB RAS, Vladivostok, Russia

Murashkin Evgenii Valerievich PhD, Senior Researcher, Ishlinsky Institute for Problems in Mechanics of RAS, Moscow, Russia

Bururuev Aleksei Mikhailovich Leading Engineer of the Laboratory for Modeling in Mechanics of Solids IPMech RAS, Moscow, Russia.

Nesterov Timofey Konstantinovich programmer, Ishlinsky Institute for Problems in Mechanics of RAS, Moscow, Russia

Stadnik Nikita Eduardovich Junior Researcher, Ishlinsky Institute for Problems in Mechanics of RAS, Moscow, Russia