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Volume 11
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10.3390/sym11030413
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Article

On the Effect of Thomson and Initial Stress in a Thermo-Porous Elastic Solid under G-N Electromagnetic Theory

by
Elsayed M. Abd-Elaziz
1,
Marin Marin
2,* and
Mohamed I. A. Othman
3
1
Zagazig Higher Institute of Engineering & Technology, Ministry of Higher Education, P.O. Box 44519, Zagazig, Egypt
2
Department of Mathematics and Computer Science, Transilvania University of Brasov, Brasov 500036, Romania
3
Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(3), 413; https://doi.org/10.3390/sym11030413
Submission received: 22 January 2019 / Revised: 6 March 2019 / Accepted: 14 March 2019 / Published: 20 March 2019
(This article belongs to the Special Issue Symmetry in Applied Continuous Mechanics)
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Abstract

The present work investigated the effect of Thomson and initial stress in a thermo-porous elastic solid under G-N electromagnetic theory. The Thomson coefficient affects the heat condition equation. A constant Thomson coefficient, instead of traditionally a constant Seebeck coefficient, is assumed. The charge density of the induced electric current is taken as a function of time. A normal mode method is proposed to analyze the problem and to obtain numerical solutions. The results that were obtained for all physical sizes are graphically illustrated and we offer a comparison between the type II G-N theory and the G-N theory of type III, both in the present case and in the absence of specific parameters, as initial stress, pores and the Thomson effect. Some particular cases are also discussed in the context of the problem. The results indicate that the effect of initial stress, Thomson coefficient effect, and magnetic field are very pronounced.
Keywords: Thomson effect; initial stress; magneto-thermoelastic; voids; normal mode method; G-N theory Thomson effect; initial stress; magneto-thermoelastic; voids; normal mode method; G-N theory

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MDPI and ACS Style

Abd-Elaziz, E.M.; Marin, M.; Othman, M.I.A. On the Effect of Thomson and Initial Stress in a Thermo-Porous Elastic Solid under G-N Electromagnetic Theory. Symmetry 2019, 11, 413. https://doi.org/10.3390/sym11030413

AMA Style

Abd-Elaziz EM, Marin M, Othman MIA. On the Effect of Thomson and Initial Stress in a Thermo-Porous Elastic Solid under G-N Electromagnetic Theory. Symmetry. 2019; 11(3):413. https://doi.org/10.3390/sym11030413

Chicago/Turabian Style

Abd-Elaziz, Elsayed M., Marin Marin, and Mohamed I. A. Othman. 2019. "On the Effect of Thomson and Initial Stress in a Thermo-Porous Elastic Solid under G-N Electromagnetic Theory" Symmetry 11, no. 3: 413. https://doi.org/10.3390/sym11030413

APA Style

Abd-Elaziz, E. M., Marin, M., & Othman, M. I. A. (2019). On the Effect of Thomson and Initial Stress in a Thermo-Porous Elastic Solid under G-N Electromagnetic Theory. Symmetry, 11(3), 413. https://doi.org/10.3390/sym11030413

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