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

• Published in: Mathematical Modeling and Computing Vol. 11; no. 2; pp. 413 - 420
• Main Authors: Zhydyk, U. V., Klapchuk, M. I., Bahlai, O. I., Voloshyn, M. M., Ivasyk, H. V., Morska, N. O.
• Format: Journal Article
• Language: English
• Published: 2024
• ISSN: 2312-9794; 2415-3788
• DOI: 10.23939/mmc2024.02.413

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.