Geomechanics and Engineering
Volume 27, Number 1, 2021, pages 45-55
DOI: 10.12989/gae.2021.27.1.045
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 , 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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