Open Access
ARTICLE
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
Cite This Article
Ismail, M. A., Fathi, S., 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