 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13025 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8110
|
| In English (Mech. Solids): | | 4915 |
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| << Previous article | Volume 59, Issue 6 / 2024 | Next article >> |
| Zuhur Alqahtani, Ibrahim Abbas, Alaa A. El-Bary, Areej Almuneef, and Abhik Sur, "The Influence of Varying Thermal Conductivity in Thermoelastic Materials due to a Laser Heat Source with a Timed Pulse," Mech. Solids. 59 (6), 3601-3613 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
6 |
Pages |
3601-3613 |
| DOI |
10.1134/S0025654424605779 |
| Title |
The Influence of Varying Thermal Conductivity in Thermoelastic Materials due to a Laser Heat Source with a Timed Pulse |
| Author(s) |
Zuhur Alqahtani (Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, 11671 Saudi Arabia, zumalqahtani@pnu.edu.sa)
Ibrahim Abbas (Mathematics Department, Faculty of Science, Sohag University, Sohag, Egypt, ibrabbas7@science.sohag.edu.eg)
Alaa A. El-Bary (Institute of Basic and Applied Science, Arab Academy for Science, Technology and Maritime Transport, Alexandria, Egypt, aaelbary@aast.edu)
Areej Almuneef (Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, 11671 Saudi Arabia, aaalmuneef@pnu.edu.sa)
Abhik Sur (Department of Mathematics, Sister Nivedita University, West Bengal, India, abhiksur4@gmail.com) |
| Abstract |
This article investigates the impacts of varying thermal conductivity in the semi-infinite
medium due to laser heating sources with a timed pulse. The governing formulations are based on a
Lord-Shulman (LS) thermoelastic model with one thermal relaxation time under changing thermal
conductivity. To study the nonlinear problems and get the governing formulations, the time-domain
finite element approach is used. Laplace transforms and the eigenvalues method are used to solve the
problem in the linear case implementation. The impacts of varying thermal relaxation time, time duration of a laser pulse and thermal conductivity are investigated. The numerical outcome obtained
through the finite element approach are compared with analytical solutions for constant thermal conductivity to validate the precision of the numerical solution. The numerical results of temperature,
stress, and displacement variation are presented graphically. |
| Keywords |
Laplace transform, Finite element method, eigenvalues technique, varying thermal conductivity |
| Received |
14 October 2024 | Revised |
17 November 2024 | Accepted |
18 November 2024 |
| Link to Fulltext |
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