Model Representations of a Heat Stroke of a Massive Body with an Internal Cavity

Mathematical models of the theory of a heat shock in terms of dynamic and quasi-static thermoelasticity and their applications to specific cases with the intense heating of a solid boundary are considered. In particular, the thermal reaction to heating a massive body with an inner cylindrical cavity is 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 carried out and the wave character of thermal stresses, as well as the corresponding quasi-static values, is described. The role of the inertial effects inherent in the mathematical models of the theory of thermal shock is established.