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Abstract <p>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.</p>

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Analytical and Numerical Modeling of Initial Pressure and Rotational Waves in a Microelongated Thermoelastic Layer Using the Moore-Gibson-Thompson Model

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • Mohamed I. M. Hilal,
  • Waleed F. Youssef

摘要

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.