Open Access

ARTICLE

Rotational Effect on the Propagation of Waves in a Magneto-Micropolar Thermoelastic Medium

by A. M. Abd-Alla^1,*, S. M. Abo-Dahab², M. A. Abdelhafez¹, A. M. Farhan^3,4

1 Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt
2 Department of Mathematics, Faculty of Science, South Valley University, 83523, Egypt
3 Department of Physics, Faculty of Science, Jazan University, Jazan, Saudi Arabia
4 Department of Physics, Faculty of Science, Zagazig University, Zagazig, Egypt

* Corresponding Author: A. M. Abd-Alla. Email:

Computers, Materials & Continua 2021, 69(1), 205-220. https://doi.org/10.32604/cmc.2021.015563

Received 28 November 2020; Accepted 14 February 2021; Issue published 04 June 2021

Abstract

The present paper aims to explore how the magnetic field, ramp parameter, and rotation affect a generalized micropolar thermoelastic medium that is standardized isotropic within the half-space. By employing normal mode analysis and Lame’s potential theory, the authors could express analytically the components of displacement, stress, couple stress, and temperature field in the physical domain. They calculated such manners of expression numerically and plotted the matching graphs to highlight and make comparisons with theoretical findings. The highlights of the paper cover the impacts of various parameters on the rotating micropolar thermoelastic half-space. Nevertheless, the non-dimensional temperature is not affected by the rotation and the magnetic field. Specific attention is paid to studying the impact of the magnetic field, rotation, and ramp parameter of the distribution of temperature, displacement, stress, and couple stress. The study highlighted the significant impact of the rotation, magnetic field, and ramp parameter on the micropolar thermoelastic medium. In conclusion, graphical presentations were provided to evaluate the impacts of different parameters on the propagation of plane waves in thermoelastic media of different nature. The study may help the designers and engineers develop a structural control system in several applied fields.

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Keywords

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