Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
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Issued 6 times a year
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IssuesArchive of Issues2025-7pp.6053-6067

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Mohamed I. M. Hilal and Waleed F. Youssef, "Analytical and Numerical Modeling of Initial Pressure and Rotational Waves in a Microelongated Thermoelastic Layer Using the Moore-Gibson-Thompson Model," Mech. Solids. 60 (7), 6053-6067 (2025)
Year 2025 Volume 60 Number 7 Pages 6053-6067
DOI 10.1134/S0025654425604112
Title Analytical and Numerical Modeling of Initial Pressure and Rotational Waves in a Microelongated Thermoelastic Layer Using the Moore-Gibson-Thompson Model
Author(s) Mohamed I. M. Hilal (Department of Basic Sciences, Faculty of Engineering, Sinai University, Al-Arish, Egypt, mimhilal@yahoo.com, mohamed.hilal@su.edu.eg)
Waleed F. Youssef (Department of Mechanical Engineering, Faculty of Engineering, Sinai University, Al-Arish, Egypt, waleed.mohammed@su.edu.eg)
Abstract This study investigates the behavior of rotational waves through a thermoelastic microelongated layer subjected to initial hydrostatic stress. The mathematical framework for describing heat conduction based on the Moore-Gibson-Thompson (MGT) model. To analyze the wave propagation, a harmonic wave approach is employed to obtain explicit solutions for the key physical quantities, including stress, strain, and temperature distribution within the layer. These solutions are then presented and verified through graphical representations for the aluminum-epoxy. Furthermore, the extent of the damping of the propagated waves is influenced by various factors, including the specific material parameters of the thermoelastic layer and the boundary conditions imposed on the system. These findings provide insights into the complex interplay between thermal effects, material properties, and wave propagation in the microelongated structures. This study contributes to a better understanding of the behavior of these materials under stress and temperature variations, which is crucial for various engineering applications. This work contributes to the growing field of generalized thermoelasticity and wave mechanics in microstructured media, offering a robust framework for analyzing the complex interactions between the mechanical and thermal fields. It’s especially valuable for industries where precision, stability, and thermal resilience are critical.
Keywords harmonic wave solution, initial stress, rotation, microelongated layer, Moore-Gibson-Thompson
Received 31 July 2025Revised 08 October 2025Accepted 28 October 2025
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