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IssuesArchive of Issues2025-3pp.1860-1872

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Praveen Ailawalia, E.S. Elidy, Sandeep Salhotra, Shreen El-Sapa, Alaa A. El-Bary, and Khaled Lotfy, "A Problem in the Theory of Moore-Gibson-Thompson Thermoelasticy for a Slim Strip Subjected to a Moving Heat Source," Mech. Solids. 60 (3), 1860-1872 (2025)
Year 2025 Volume 60 Number 3 Pages 1860-1872
DOI 10.1134/S002565442560148X
Title A Problem in the Theory of Moore-Gibson-Thompson Thermoelasticy for a Slim Strip Subjected to a Moving Heat Source
Author(s) Praveen Ailawalia (Department of Mathematics, University Institute of Sciences, Chandigarh University, Gharuan-Mohali, Punjab,140413 India, Praveen_2117@rediffmail.com)
E.S. Elidy (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt, eslamelidy@yahoo.com)
Sandeep Salhotra (Department of Civil Engineering, Chandigarh University, Gharuan-Mohali, Punjab, 140413 India, salhotra sandeep@yahoo.co.in)
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)
Khaled Lotfy (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt; Department of Mathematics, College of Science, Taibah University, Al-Madinah Al-Munawarah, 30002 Saudi Arabia, khlotfy_1@yahoo.com)
Abstract This study investigates the thermoelastic response of a thin, slim strip subjected to a moving heat source using the Moore-Gibson-Thompson (MGT) theory of thermoelasticity. The novelty of this work lies in the application of the MGT theory to analyze the influence of heat source velocity on the mechanical and thermal behavior of the strip, providing a more comprehensive understanding of wave propagation in thermoelastic materials. The primary objective is to examine the effects of different thermoelastic theories on displacement, stress distribution, and temperature variations induced by the moving heat source. To achieve this, the coupled thermoelastic governing equations are formulated and solved analytically using the Laplace transformation technique. The numerical inversion of the Laplace transform is then applied to obtain time-domain solutions, and the results are presented graphically. The findings demonstrate that the velocity of the moving heat source has a significant impact on the distribution of the main physical fields, influencing thermoelastic wave propagation. The study provides deeper insight into the behavior of thermoelastic materials subjected to dynamic thermal loads, which is crucial for applications in high-speed manufacturing, aerospace engineering, and thermal stress analysis in thin-walled structures.
Keywords Moore-Gibson-Thompson, Laplace Transformation, heat source, stress, temperature field
Received 29 March 2025Revised 25 April 2025Accepted 27 April 2025
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