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Magnetothermoelastic interactions in non-simple medium with a spherical cavity due to time-harmonic varying heat

Mohamed I.A. Othman (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt)
Ahmed E. Abouelregal (Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt) (Department of Mathematics, College of Science and Arts, University of Aljouf, El-Qurayat, Saudi Arabia)

Multidiscipline Modeling in Materials and Structures

ISSN: 1573-6105

Article publication date: 18 July 2019

Issue publication date: 8 August 2019

Abstract

Purpose

The purpose of this paper is to investigate the dynamic response for a thermoelastic infinite medium with a spherical cavity in the context of the theory of two-temperature thermoelasticity without energy dissipation.

Design/methodology/approach

The cavity is fixed and subjected to a subjected to harmonically varying temperature.

Findings

The exact expressions for displacement, temperature and thermal stresses are computed and represented graphically. These distributions are calculated for a copper material and results are analyzed.

Originality/value

Effects of non-simple heat conduction, frequency of thermal vibrations and magnetic field are depicted graphically on the field variables.

Keywords

Citation

Othman, M.I.A. and Abouelregal, A.E. (2019), "Magnetothermoelastic interactions in non-simple medium with a spherical cavity due to time-harmonic varying heat", Multidiscipline Modeling in Materials and Structures, Vol. 15 No. 5, pp. 932-946. https://doi.org/10.1108/MMMS-05-2018-0098

Publisher

:

Emerald Publishing Limited

Copyright © 2019, Emerald Publishing Limited