Structural Engineering and Mechanics

Volume 78, Number 2, 2021, pages 187-197

DOI: 10.12989/sem.2021.78.2.187

Three-phase-lag model on a micropolar magnetothermoelastic medium with voids

Amnah M. Alharbi, Mohamed I.A. Othman and Al-Anoud M. Kh. Al-Autabi

Abstract

This paper harnesses a micropolar thermoelastic medium consisting of voids to scrutinize the impacts of a magnetic field on it. To assess the problem, the three-phase-lag model (3PHL) has been employed and the analytical expressions of various variables under consideration have been derived using normal model analysis. The paper presents a graphical illustration of the material's stress, temperature, and dimensionless displacement. It has also been ensured that the predictions associated with results by different theories are not neglected instead; they are used to carry out appropriate comparisons in scenarios where the magnetic field is present as well as absent. The numerical results indicate that the magnetic field and the phase-lag of heat flux play a vital role in determining the distribution of field quantities. Thus, the investigation helped derive various interesting cases.

Key Words

micropolar; thermoelasticity; magnetic field; three-phase-lag; voids

Address

Amnah M. Alharbi: Department of Mathematics, College of Science, Taif Univeristy, P.O. Box 11099, Taif, 21944, Saudi Arabia Mohamed I.A. Othman: Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt Al-Anoud M. Kh. Al-Autabi: Department of Mathematics, College of Science, Taif Univeristy, P.O. Box 11099, Taif, 21944, Saudi Arabia