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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2025-3pp.2257-2271

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Praveen Ailawalia, Shreen El-Sapa, Alaa A. El-Bary, and Kh. Lotfy, "Dynamic Response of a Thermoelastic Slab Using Moore-Gibson-Thompson between Elastic Half-Spaces," Mech. Solids. 60 (3), 2257-2271 (2025)
Year 2025 Volume 60 Number 3 Pages 2257-2271
DOI 10.1134/S002565442560103X
Title Dynamic Response of a Thermoelastic Slab Using Moore-Gibson-Thompson between Elastic Half-Spaces
Author(s) Praveen Ailawalia (Department of Mathematics, University Institute of Sciences, Chandigarh University, Gharuan-Mohali, Punjab, 140413 India, praveen2117@rediffmail.com)
Shreen El-Sapa (Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, 11671 Saudi Arabia, seelsapa@pnu.edu.sa)
Alaa A. El-Bary (Arab Academy for Science, Technology and Maritime Transport, Alexandria, Egypt, aaelbary@aast.edu)
Kh. Lotfy (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt; Department of Mathematics, Faculty of Science, Taibah University, Madinah, Saudi Arabia, khlotfy_1@yahoo.com)
Abstract This study presents an analytical and numerical investigation of the dynamic response of a thermoelastic slab, based on the Moore-Gibson-Thompson (MGT) theory, sandwiched between two identical elastic half-spaces. The thickness of the slab is assumed to be 2h. The primary objective is to examine how different thermoelastic models influence wave propagation, stress distribution, and temperature evolution under mechanical loading. The governing equations are solved using the normal mode analysis technique, and numerical simulations are performed to validate the theoretical results. A comparative analysis is conducted among the Biot Classical, Lord-Shulman (LS), Green-Naghdi Type III (GN-III), and MGT models. The results reveal that the MGT theory more accurately captures the finite speed of thermal waves and provides smoother stress and temperature profiles, emphasizing its suitability for modeling complex thermoelastic phenomena in layered structures.
Keywords Moore-Gibson-Thompson, Normal mode, Temperature field, stress
Received 04 March 2025Revised 09 April 2025Accepted 10 April 2025
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