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Effect of Magnetic Field on Generalized Thermo-Viscoelastic Diffusion Medium with Voids

Mohamed I. A. Othman

Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt

Department of Mathematics, Faculty of Science, Taif University 888, Saudi Arabia

E-mail Address: m_i_a_othman@yahoo.com

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and

Montaser Fekry

Department of Mathematics, Faculty of Science, South Valley University, P.O. Box 83523, Qena, Egypt

E-mail Address: montaser.fekry@yahoo.com

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https://doi.org/10.1142/S0219455415500339Cited by:21 (Source: Crossref)

Abstract

The present paper is concerned with the investigation of disturbances in a homogeneous, isotropic, generalized thermo-viscoelastic diffusion material with voids under the influence of magnetic field. The formulation is applied to the generalized thermoelasticity theory under the Lord–Shulman and the classical dynamical coupled theories. The analytical expressions for the physical quantities are obtained in the physical domain by using the normal mode analysis. These expressions are calculated numerically for a specific material and explained graphically. Comparisons are made with the results predicted by the Lord–Shulman and the coupled theories in the presence and absence of the magnetic field and diffusion.

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