Termostressed state of a three-layer rectangular plate under non-stationary convective heating conditions

The study considers a rectangular isotropic plate with a layered irregular structure.  It is convectively non-stationarily heated by an external environment.  The initial relationships of the non-stationary heat conduction and thermoelasticity problem are formulated using a five-mode mathematical model based on the shear deformation theory of thermoelasticity.  Using the methods of Fourier and Laplace integral transforms, general solutions have been obtained for the non-stationary heat conduction problem and the quasi-static thermoelasticity problem for a hinge-supported plate along its edges.  A numerical analysis of the temperature field, radial deflections, normal forces, bending moments, and normal stresses, depending on geometric parameters and the Bi criterion, has been performed for a three-layer plate.  The materials of its layers are made of ceramics and metal.  The temperature and mechanical parameters have been analyzed for the layering configuration of the plate: metal-ceramic-metal.

three-layer plate
convective heat transfer
non-stationary heating
температура
thermoelastic state
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