Thermostressed state of a composite plate with heat exchange under the action of a uniformly distributed heat source

Abstract

An analytic-numerical approach to the construction of solutions of two-dimensional (in spatial coordinates) quasistatic problems of thermoelasticity for piecewise-homogeneous bodies is proposed. Using this approach, we represent the solution of the thermoelasticity problem for a composite unbounded plate heated by the environment and a uniformly distributed heat source in the form of series in multiple error integrals. On the basis of these results, the corresponding heat and thermoelastic states of this composite plate are computed.