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

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

MMC.
2024;
Volume 11, Number 2
: pp. 413–420
https://doi.org/10.23939/mmc2024.02.413
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)

Authors:
  1. U. V. Zhydyk
  2. M. I. Klapchuk
  3. O. I. Bahlai
  4. M. M. Voloshyn
  5. H. V. Ivasyk
  6. N. O. Morska
1
Lviv Polytechnic National University
2
Lviv Polytechnic National University
3
Lviv Polytechnic National University
4
Lviv Polytechnic National University
5
Lviv Polytechnic National University
6
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.

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