thermal strain, elasticity, plasticity, viscosity, yield strength, solid ball.

In this work, the stress-strain state of solid ball subjected to uniform thermal action is determined in an analytical form and assumptions about of the influence of the dependence of the yield strength on the temperature field on it are introduced. The continuous medium model proposed by A. N. Sporykhin (a model of a hardening elastoviscoplastic material) is considered as the ball material. The solution of the problem is a generalization of the already known approach to the case of a polynomial dependence of the yield strength on temperature. As a result of computation, numerical values of the basic quantities were obtained, and a comparison was made of materials whose yield strength is determined by constant, linear and quadratic functions.

Chernyshov Danil Alekseevich,

Student of the Department of Mechanics and Computer Modeling, Voronezh State University, Voronezh, Russia.

Kovalev Alexey Victorovich,

Dr. Sci. Phys. & Math., Professor, Head of the Department of Mechanics and Computer Modeling, Voronezh State University, Voronezh, Russia, Military educational scientific center air force "Air force Academy named after Professor N. E. Zhukovsky and Y. A. Gagarin Voronezh, Russia.