thermoelasticity, thermoplasticity, thermal stress, yield point, residual stress, residual strain.

The present study is devoted to the investigation of the process of formation of the 2-dimensional thermal stresses fields during heating of the clamped thin plate by the uniform temperature field. This physical process is mathematically proposed as a quasi-static process of the uniform thermal expansion of rectangular plate made of thermoelastoplastic material. The generalized Prandtl-Reuss thermoelastoplastic model is used. The clamped pair of opposite sides of the plate ensures yield stress state. Yield condition is taken by the von Mises form with yield stress depend on temperature. The principle of maximum dissipation energy suggests Mises loading surface as a plastic potential and guarantees the associated law of plastic flow. Thus, the boundary value problem is reduced to partial differential equations systems with respect to the stress-strain state parameters. Then, the resulting system is numerically integrated. The finite-difference scheme is developed. The border of irreversible deformation domain and unloading domain are computed according to the numerical results. The level of residual stresses and strains are calculated after the final cooling plate. Numerical results are graphically presented.

1. Gorshkov Sergey Alexandrovich Bachelor, Far East Fedaral University, Vladivostok

2. Dats Evgeniy Pavlovich Master, Assistant, Vladivostok State University of Economics and Service, Vladivostok

3. Murashkin Evgenii Valerievich PhD, Institute For Problems in Mechanics n.a. A. Yu. Ishlinskiy RAS, Moscow