The impact of rotation on wave propagation of thermoelastic medium

Document Type : Regular Articles

Authors

1 Department of Physics, Faculty of Science, Sohag

2 Department of Physics, Faculty of Science, Sohag University

3 Mathematics, Faculty of science, Sohag University

4 Math. Dept., Faculty of Science, South Valley University, Luxor University, Egypt

5 mathematic, Mathematics, Science, Sohag University, Amman, Jordan

10.21608/sjsci.2025.394531.1279

Abstract

 The present investigation is intended to demonstrate the effect of rotation on the thermoelastic medium. The governing equations are formulated in the context of the Lord-Shulman theory. We obtained the analytical solution using Lame’s potential method and Lthe normal mode technique with appropriate boundary conditions. The field quantities were calculated analytically and displayed graphically under the rotation with the effect of time with respect to space coordinates. The numerical values of the expressions are evaluated using MATHEMATICA. The graphical results are presented to shown the effect of time and rotation. Findings indicate that rotation and the included parameters notably amplify physical responses, especially under increased time and rotation. Results are validated against existing literature. Although theoretical in nature, this work offers insights relevant to geophysics, seismology, and earthquake engineering, particularly in applications such as mining tremors and crustal drilling. The results obtained are in agreement with the previous results obtained by others research when the new parameters vanish. 

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