GENERALIZED MODEL OF THERMAL SHOCK IN DYNAMIC THERMOELASTICITY

A generalized mathematical model of a thermal shock is developed in terms of dynamic thermoelasticity and its application to specifi c cases of intense heating of the solid body boundary, namely, of the temperature, thermal, heating by a medium. The model includes simultaneously three coordinate systems: Cartesian coordinates — a massive body bounded by a fl at surface; spherical coordinates — a massive body with an internal spherical cavity; cylindrical coordinates — a massive body with an internal cylindrical cavity. The presence of curvature of the boundary surface dictates the initial formulation of the dynamic problem in displacements using the proposed "compatibility" equation in displacements for dynamic models. A numerical experiment was carried out and the wave nature of the propagation of a thermoelastic wave was described. Practically important engineering design relations are proposed for the upper estimate of thermal stresses through stress jumps at the front of a thermoelastic wave, obtained from operational solutions of dynamic problems. These relations allow one to quickly assess the degree of danger of short-term dynamic stresses
   
Author:  É. M. Kartashov, S. S. Krylov
Keywords:  thermal shock, mathematical model, dynamic thermoelasticity, thermal stresses
Page:  573