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A Journal of Russian Academy of Sciences
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Mohamed I.M. Hilal, "Thermodynamic Behavior of a Mixture of Two Interacting Elastic Solids due to the Rotational Waves," Mech. Solids. 60 (7), 5871-5885 (2025)
Year 2025 Volume 60 Number 7 Pages 5871-5885
DOI 10.1134/S0025654425604574
Title Thermodynamic Behavior of a Mixture of Two Interacting Elastic Solids due to the Rotational Waves
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)
Abstract Thermoelastic mixtures are critical in the development of lightweight, high-strength aerospace components, frequently employing composite materials such as carbon fiber reinforced polymers. This study investigates the behavior of a linear, homogeneous, isotropic binary thermoelastic mixture subjected to uniform angular velocity, simulating the rotational dynamics experienced by aircraft components. Utilizing the harmonic wave method, two- and three-dimensional analyses are performed to determine the temperature distribution, displacements, and stress fields within the mixture, yielding physically realistic results. Our study employs numerical methods to thoroughly assess the influence of both rotational speed and wave numbers on the mechanical behavior of composite materials. These mixtures hold promise for enhancing a wide range of applications, extending well beyond the aerospace sector. Specifically, the potential improvements offered by these materials are relevant to the development of advanced metal alloys, which could lead to stronger and more durable components. Furthermore, these mixtures could significantly contribute to the advancement of weapon systems, enabling the creation of more effective and reliable technologies. The field of robotics can also benefit from the enhanced mechanical response of these materials, leading to robots with improved performance and capabilities. In addition, the application of these mixtures can contribute to advancements in machine control technologies, resulting in more precise and efficient control systems. Therefore, the implications of our numerical evaluation span a diverse array of technological domains, highlighting the broad applicability of these materials.
Keywords dynamical theory of mixtures, harmonic wave, rotation, thermoelastic solid
Received 21 August 2025Revised 16 October 2025Accepted 17 October 2025
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