Prediction of Composite Panel Operability Under Non-Stationary Heating by the External Environment

A rectangular composite sandwich panel that is convectively heated by the external environment is considered. A physical and mathematical model consisting of two stages is proposed to predict the operability of such a panel depending on the heat transfer conditions. In the first stage, the unsteady temperature field is determined from the relations of the unsteady heat conduction problem. In the second stage, the parameters of the stress-strain state of the panel are determined from the relations of the quasi-static thermoelasticity problem. Under the conditions of a panel hinged at the edges of the considered panel, general solutions to the problems of thermal conductivity and quasi-static thermoelasticity are found using the Fourier and Laplace integral transforms. For numerical analysis, a variant of a composite sandwich panel of the ceramic-metal-ceramic structure was chosen. The temperature field, radial deflections, normal forces and stresses, and bending moments in the sandwich panel under consideration are analyzed as a function of both geometric parameters and the dimensionless Biot criterion.