Analysis of the thermomechanical behavior of a three-layer rectangular plate of the ceramic-metal-ceramic structure due to non-stationary convective heating
DOI:
https://doi.org/10.15407/fmmit2024.39.034Keywords:
:three-layer plate, ceramic-metal-ceramic, convective unsteady heating, temperature, thermal stress stateAbstract
A rectangular isotropic layered plate is considered, which is convectively heated by the external
environment. The thermal stress state of the plate is determined in two stages. At the first stage, the nonstationary temperature field is determined from the ratios of the non-stationary thermal conductivity
problem. At the second stage, using the five-modal mathematical model of the shear theory of
thermoelasticity, the parameters of the stress-strain state are determined. Fourier and Laplace integral
transformations were used to construct the general solutions of the non-stationary thermal conductivity
problem and the quasi-static thermoelasticity problem for the hingedly supported plate at the edges. The
ceramic-metal-ceramic plate layer structure option was selected for analysis. The temperature field,
radial deflections, normal forces and stresses, and bending moments are numerically analyzed depending
on the geometric parameters of the considered three-layer plate and the dimensionless Bio criterion.
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