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# GENERALIZED MAGNETO- THERMOELASTICITY AND HEAT CONDUCTION ON AN INFINITE MEDIUM WITH SPHERICAL CAVITY

Mahmoud A. Ismaila, Shadia Fathi Mohamed El Sherif a , A. A. El-Baryb,*, Hamdy M. Youssefc

a Faculty of Science, Northern Border University, Arar, Kingdom of Saudi Arabia
b Arab Academy for Science, Technology and Maritime Transport, P.O. Box 1029, Alexandria, Egypt
c Mechanics Department, Faculty of Engineering and Islamic Architecture, Umm Al-Qura University, Kingdom of Saudi Arabia

* Corresponding Author: Email:

Frontiers in Heat and Mass Transfer 2020, 14, 1-7. https://doi.org/10.5098/hmt.14.3

## Abstract

In this paper we will discuss the problem of distribution of thermal stresses and temperature in a generalized magneto–thermo-viscoelastic solid spherical cavity of radius R according to Green- Naghdi (G-N II) and (G-N III) theory. The surface of the cavity is assumed to be free traction and subjected to a constant thermal shock. The Laplace transform technique is used to solve the problem. The state space approach is adopted for the solution of one dimensional problem. Solution of the problem in the physical domain are obtained by using a numerical method of MATLAP Programmer and the expression for the temperature, strain and stress are obtained. Numerical computations are carried out for a particular material for illustrating the results. Finally the results obtained are presented graphically to show the effect of time on the field.

## Keywords

APA Style
Ismail, M.A., , S.F.M.E.S., El-Bary, A.A., Youssef, H.M. (2020). GENERALIZED MAGNETO- THERMOELASTICITY AND HEAT CONDUCTION ON AN INFINITE MEDIUM WITH SPHERICAL CAVITY. Frontiers in Heat and Mass Transfer, 14(1), 1-7. https://doi.org/10.5098/hmt.14.3
Vancouver Style
Ismail MA, SFMES, El-Bary AA, Youssef HM. GENERALIZED MAGNETO- THERMOELASTICITY AND HEAT CONDUCTION ON AN INFINITE MEDIUM WITH SPHERICAL CAVITY. Front Heat Mass Transf. 2020;14(1):1-7 https://doi.org/10.5098/hmt.14.3
IEEE Style
M.A. Ismail, S.F.M.E.S. , A.A. El-Bary, and H.M. Youssef "GENERALIZED MAGNETO- THERMOELASTICITY AND HEAT CONDUCTION ON AN INFINITE MEDIUM WITH SPHERICAL CAVITY," Front. Heat Mass Transf., vol. 14, no. 1, pp. 1-7. 2020. https://doi.org/10.5098/hmt.14.3

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