A modified couple-stress magneto-thermoelastic solid with microtemperatures and gravity field

Samia M. Said, Elsayed M. Abd-Elaziz and Mohamed I.A. Othman

Abstract

The present study deals with wave propagation in a modified couple-stress generalized thermoelastic solid under the effect of gravity and magnetic field. The problem is solved by a refined microtemperatures multi-phase-lags thermoelastic theory. The Fourier series and Laplace transforms will be used to obtain the general solution for any set of boundary conditions. Some comparisons have been shown in figures to estimate the effects of the gravity field, the magnetic field, and different theories of thermoelasticity in the presence of the hall current effect on all the physical quantities. Some particular cases of special interest have been deduced from the present investigation.

Key Words

hall current; microtemperatures; modified couple stress; multi-phase-lags theory; thermoelastic

Address

Samia M. Said: Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt Elsayed M. Abd-Elaziz: Ministry of Higher Education, Zagazig Higher Institute of Engineering and Technology, Zagazig, Egypt Mohamed I.A. Othman: Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt

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