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

: pp. 413–420
Received: January 29, 2024
Revised: April 10, 2024
Accepted: April 13, 2024

Zhydyk U. V., Klapchuk M. I., Bahlai O. I., Voloshyn M. M., Ivasyk H. V., Morska N. O.  Termostressed state of a three-layer rectangular plate under non-stationary convective heating conditions.  Mathematical Modeling and Computing. Vol. 11, No. 2, pp. 413–420 (2024)

Lviv Polytechnic National University
Lviv Polytechnic National University
Lviv Polytechnic National University
Lviv Polytechnic National University
Lviv Polytechnic National University
Lviv Polytechnic National University

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.

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