Geodesic
Model representations of heat stroke of a massive body with an internal cavity
Matematičeskoe modelirovanie, Tome 33 (2021) no. 4, pp. 116-132.

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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.
Keywords: heatstroke, mathematical models, thermal stresses. 
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E. M. Kartashov; E. V. Nenakhov. Model representations of heat stroke of a massive body with an internal cavity. Matematičeskoe modelirovanie, Tome 33 (2021) no. 4, pp. 116-132. http://geodesic.mathdoc.fr/item/MM_2021_33_4_a6/

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