ИСТИНА

Studying the literature, for example, the chapter "Cone in supersonic flow" in [1], related to modeling the motion of space-rocket vehicles or meteorites in the atmosphere, we come to the conclusion that it is necessary to consider not only standard shapes such as spheres or cylinders but also the bodies having a more complex shape, for example, conical. When a body moves supersonic in the atmosphere, shock waves occur, temperature and pressure rise near the surface of the body, which leads to a possible consideration of the stress state, finding critical values. In experiments on axisymmetric flow around conical bodies [2, 12-14], critical values of temperature, heat flow density and pressure in the nasal part of the body are observed, which can negatively affect deformations and stresses in the body, lead to local destruction. For spherical bodies, in the chapter "Axisymmetric problem of thermoelasticity" of [3], it is noted that maximum stresses occur in a steady state of aerodynamic heating, that is, in stationary supersonic motion. Therefore, in this paper, the problem of finding distributions of temperature, stresses and deformations in a conical body under thermal action on the nasal part of this body is considered.