Model representations of heat stroke of a massive body with an internal cavity

The article discusses mathematical models of the theory of heat shock in terms of dynamic and quasi-static thermoelasticity and their applications to specific cases with intense heating of a solid boundary. In particular, the thermal reaction to heating of a massive body with an inner cylindrical cavity has been studied — an important result for many applications. The presence of the curvature of the boundary surface dictates the formulation of a dynamic problem in displacements under conditions of a radial heat flux. Numerical experiments are performed and the wave character of thermal stresses is described, as well as the corresponding quasi-static values. The role of inertial effects inherent in mathematical models of the theory of thermal shock is established.