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

Author:

Othman Mohamed I. A.12,Fekry Montaser3

Affiliation:

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

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

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

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Building and Construction,Civil and Structural Engineering

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