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Magneto-Thermoelasticity with Thermal Shock Considering Two Temperatures and LS Model

F. S. Bayones1, S. M. Abo-Dahab2,3, N. S. Hussein4, A. M. Abd-Alla5,*, H. A. Alshehri1
1 Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif, 21944, Saudi Arabia
2 Mathematics Department, Faculty of Science, South Valley University, Qena, 83523, Egypt
3 Computer Science Department, Faculty of Computers and Information, Luxor University, Luxor, Egypt
4 Mathematics Department, Faculty of Science, Cairo University, Egypt
5 Mathematics Department, Faculty of Science, Sohag University, Egypt
* Corresponding Author: A. M. Abd-Alla. Email:

Computers, Materials & Continua 2022, 70(2), 3365-3381.

Received 23 April 2021; Accepted 18 June 2021; Issue published 27 September 2021


The present investigation is intended to demonstrate the magnetic field, relaxation time, hydrostatic initial stress, and two temperature on the thermal shock problem. The governing equations are formulated in the context of Lord-Shulman theory with the presence of bodily force, two temperatures, thermal shock, and hydrostatic initial stress. We obtained the exact solution using the normal mode technique with appropriate boundary conditions. The field quantities are calculated analytically and displayed graphically under thermal shock problem with effect of external parameters respect to space coordinates. The results obtained are agreeing with the previous results obtained by others when the new parameters vanish. The results indicate that the effect of magnetic field and initial stress on the conductor temperature, thermodynamic temperature, displacement and stress are quite pronounced. In order to illustrate and verify the analytical development, the numerical results of temperature, displacement and stress are carried out and computer simulated results are presented graphically. This study helpful in the development of piezoelectric devices.


Thermoelastic; thermal shock; initial stress; two temperatures; magnetic field; relaxation time

Cite This Article

F. S. Bayones, S. M. Abo-Dahab, N. S. Hussein, A. M. Abd-Alla and H. A. Alshehri, "Magneto-thermoelasticity with thermal shock considering two temperatures and ls model," Computers, Materials & Continua, vol. 70, no.2, pp. 3365–3381, 2022.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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