SOLUTION OF QUASI-STATIC THERMOELASTICITY PROBLEM FOR THERMOSENSITIVE BODIES UNDER A CONVECTIVE HEAT EXCHANGE

摘要

A method for construction of analytical-numerical solutions of quasi-static thermoelasticity problems for thermosensitive bodies with temperature-dependent physico-mechanical characteristics under a convective heat exchange from their surfaces is proposed. As an example, we construct the solution of a nonstationary heat conduction problem for a system formed by a cylindrical body with thin coating heated by the environment in the process of convective heat exchange through the coating surface. The thermal contact between the cylinder and the coating is regarded as perfect. The solution of the corresponding quasi-static problem of thermoelasticity is constructed by the perturbation method. The numerical analysis of the results is performed.