 | | 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: | | 13217 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8152
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| In English (Mech. Solids): | | 5065 |
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| Ibrahim Abbas, Areej Almuneef, Alaa A. El-Bary, and Zuhur Alqahtani, "Analytical Solutions of Thermoelastic Interactions in Functionally Graded Medium Based on Green-Naghdi Model," Mech. Solids. 60 (3), 1873-1884 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
3 |
Pages |
1873-1884 |
| DOI |
10.1134/S0025654425601119 |
| Title |
Analytical Solutions of Thermoelastic Interactions in Functionally Graded Medium Based on Green-Naghdi Model |
| Author(s) |
Ibrahim Abbas (Mathematics Department, Faculty of Science, Sohag University, Egypt, ibrabbas7@science.sohag.edu.eg)
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)
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 |
This work investigates the thermo-elastic interaction in an unbounded functionally graded
(FG) materials induced by a time-dependent pulse, within the framework of the generalized thermoelastic model with Green and Naghdi type III model (GNIII). The basic equations for functionally
graded materials (FGMs), characterized by spatially varying properties, are formulated based on
Green-Naghdi Model. These equations are expressed using Laplace transformations to get the exact
solutions. The eigenvalue techniques are employed to derive explicit solutions in the transformed
domain, followed by numerical inversion of the Laplace transforms to retrieve results in the time domain. The numerical data obtained are graphically represented to examine the impacts of material
inhomogeneity and pulse duration on displacement, temperature, and stress distributions. |
| Keywords |
Laplace transform, eigenvalues approach, functionally graded material (FGM), Green-Naghdi Model |
| Received |
08 March 2025 | Revised |
04 April 2025 | Accepted |
07 April 2025 |
| Link to Fulltext |
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