Mathematical Model of a Thermoelastic Micro-elongated Plate Influenced by Initial Stress and an Upper Load from a Piezoelectric Layer according to Dual-phase-lag Model

Document Type : Research Paper

Authors
Mohamed I.A. Othman 1
Ebtesam E.M. Eraki 1
Mohamed F. Ismail 2
1 Department of Mathematics, Faculty of Science, Zagazig University, Zagazig 44519, Egypt
2 Faculty of Computers and Information System, Egyptian Chinese University, Cairo, Egypt
10.22055/jacm.2024.47890.4818
Abstract
The main goal of this work is to investigate how the initial stress affects a thermoelastic micro-elongated layer under a layer of piezoelectric loading using the theory of Lord-Shulman (L-S) with relaxation time and the model of dual-phase-lag (DPL) with two relaxation times. The normal mode analysis is used to transform the partial differential equations into ordinary differential equations. The numerical computations are carried out and the outcomes are visually presented. It is shown that initial stress has a significant impact on all physical quantities, as demonstrated by a comparison of the DPL model and the L-S theory in both full absence and presence of initial stress.
Keywords
Thermoelastic micro-elongated layer
piezoelectric
normal mode method
initial stress
DPL model
Subjects

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Journal of Applied and Computational Mechanics
Volume 11, Issue 3
Summer 2025
Pages 787-796