 | | 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: | | 13288 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8164
|
| In English (Mech. Solids): | | 5124 |
|
| << Previous article | Volume 60, Issue 4 / 2025 | Next article >> |
| Areej Almuneef, Ibrahim Abbas, Alaa A. El-Bary, and Zuhur Alqahtani, "Generalized Thermoelastic Diffusion Using the Eigenvalue Technique Due to Pulse Heat Flux," Mech. Solids. 60 (4), 2682-2694 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
4 |
Pages |
2682-2694 |
| DOI |
10.1134/S0025654425601442 |
| Title |
Generalized Thermoelastic Diffusion Using the Eigenvalue Technique Due to Pulse Heat Flux |
| Author(s) |
Areej Almuneef (Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh, 11671 Saudi Arabia, aaalmuneef@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)
Zuhur Alqahtani (Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh, 11671 Saudi Arabia, zumalqahtani@pnu.edu.sa) |
| Abstract |
In this study, the thermoelastic interaction problem in half-space is analyzed within the
framework of generalized thermodiffusion theory. An exponentially decaying pulse boundary heat
flux loads the surface. The governing equations of generalized thermodiffusion incorporating one
relaxation time are formulated and transformed into the Laplace domain. Utilizing the eigenvalue
approach, analytical solutions in the transformed space are derived. Numerical computations are performed to evaluate concentration, displacement, temperature, stress, and chemical potential, with the results illustrated graphically. |
| Keywords |
Thermoelastic diffusion, Laplace transforms, Eigenvalues approach |
| Received |
26 March 2025 | Revised |
29 April 2025 | Accepted |
06 May 2025 |
| Link to Fulltext |
|
| << Previous article | Volume 60, Issue 4 / 2025 | Next article >> |
|
 If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|
Russian 
English