Generalized magneto-thermo-microstretch elastic solid with finite element method under the effect of gravity via different theories

Mohamed I. A. Othman, Ibrahim A. Abbas and S. M. Abo-Dahab

Abstract

The present paper is aimed at studying the effect of gravity on the general model of the equations of generalized magneto-thermo-micro-stretch for a homogeneous isotropic elastic half-space solid. The problem is in the context of the Green-Lindsay (G-L) theories, as well as the coupled theory (CT). Finite element method is used to obtain the expressions for the displacement components, the force stresses, the temperature, the couple stresses, and the micro-stress distribution. Comparisons are made with the results in the presence and absence of gravity and magnetic field of a particular case for the generalized micropolar thermo-elasticity elastic medium (without micro-stretch constants) between the three theories.

Key Words

finite element method; gravity; magnetic field; thermo-microstretch; thermal relaxation

Address

Mohamed I. A. Othman: Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt Ibrahim A. Abbas: 1.) Nonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University, Saudi Arabia 2.) Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt S. M. Abo-Dahab: 1.) Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt 2.) Department of Computer Science, Faculty of Computers and Information, Luxor University, Egypt

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