Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
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IssuesArchive of Issues2025-5pp.3686-3705

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Mohamed F. Ismail, Hamdy M. Ahmed, and Ibrahim A. Abbas, "Analytical Investigation of Temperature-Dependent Thermoelastic Behavior under Laser Pulse Influence within the Coupled Theory Framework Using Improved Modified Extended Tanh Function Method," Mech. Solids. 60 (5), 3686-3705 (2025)
Year 2025 Volume 60 Number 5 Pages 3686-3705
DOI 10.1134/S0025654425601491
Title Analytical Investigation of Temperature-Dependent Thermoelastic Behavior under Laser Pulse Influence within the Coupled Theory Framework Using Improved Modified Extended Tanh Function Method
Author(s) Mohamed F. Ismail (Faculty of Computers and Information System, Egyptian Chinese University, Cairo, Egypt, m.fekry2015@yahoo.com)
Hamdy M. Ahmed (Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El-Shorouk Academy, El-Shorouk City, Cairo, Egypt, hamdy_17eg@yahoo.com)
Ibrahim A. Abbas (Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt, ibrabbas7@science.sohag.edu.eg)
Abstract his study presents the Improved Modified Extended Tanh Function Method (IMETFM) as an advanced analytical approach to investigate the influence of laser pulse phenomena on thermo-elastic materials exhibiting temperature dependent properties within the framework of coupled thermoelasticity theory. Given the nonlinear nature of thermoelasticity, the research focuses on scenarios where thermal variations induce substantial changes in both the material’s structural form and intrinsic characteristics. Understanding these interactions is crucial for accurately modeling real-world applications, such as the distribution of thermal stresses in large-scale engineering structures, the impact of temperature fluctuations on material performance, and the intricate coupling between mechanical and thermal responses. By employing the proposed analytical method, a diverse set of exact wave solutions has been derived, incorporating multiple free parameters. These solutions include bright soliton solutions, as well as rational, exponential, and hyperbolic function-based solutions. To further elucidate the findings, graphical representations of key physical quantities are provided, suchprovided, such as temperature, displacement fields, and components, offering deeper insight into the underlying thermoelastic behavior and facilitating better interpretation of the results.
Keywords Coupled theory, Nonlinear thermo-elasticity, Laser pulse, Exact solutions
Received 30 March 2025Revised 23 May 2025Accepted 29 May 2025
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