 | | 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: | | 13088 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8125
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| In English (Mech. Solids): | | 4963 |
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| S.M. Abo-Dahab, R.A. Mohamed, A.M. Abd-Alla, H.A. Abd-Elahmeid, and F.S. Bayones, "Effect of Magnetic Field on a rotating Thermoelastic Problem for a half-space," Mech. Solids. 60 (1), 686-699 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
1 |
Pages |
686-699 |
| DOI |
10.1134/S0025654424606785 |
| Title |
Effect of Magnetic Field on a rotating Thermoelastic Problem for a half-space |
| Author(s) |
S.M. Abo-Dahab (Mathematics Department, Faculty of Science, South Valley University, Qena, Egypt, sdahb@yahoo.com)
R.A. Mohamed (Mathematics Department, Faculty of Science, South Valley University, Qena, Egypt, rabdalla_1953@yahoo.com)
A.M. Abd-Alla (Mathematics Department, Faculty of Science, Sohag University, Sohag, 82524 Egypt, mohmrr@yahoo.com)
H.A. Abd-Elahmeid (Mathematics Department, Faculty of Science, South Valley University, Qena, Egypt, hagar16714@gmail.com)
F.S. Bayones (Department of Mathematics and Statistics, College of Scienc, Taif University, Taif, 21944 Saudi Arabia, f.s.bayones@hotmail.com) |
| Abstract |
This study examines magneto-thermoelastic for a rotating half-space without energy dissipation, utilizing Green-Lindsay elasticity theory hyperbolic thermoelasticity model. Normal mode analysis is used to solve the problem, deriving the displacement components, temperature and stress components and analyzing specific cases. The numerical results are also obtained and presented graphically to show the effect of magnetic field, rotation and time on the components. Numerical computations are facilitated through Mathematica programming, focusing on a material exhibiting properties analogous to a magnesium crystal. The results reveal that the presence of magnetic field, rotation and time significantly increases and decreases the values of physical variables, especially with higher magnetic field and rotation, highlighting their considerable impact on the system’s dynamics. Also, the results underscore the significant influence of magnetic field, rotation and time on the various field quantities. The numerical and graphical results underscore the significant influence of magnetic field, time, and rotation on the various field quantities. The results presented in this research are helpful for the theoretical study and technological applications of wave propagation in the context of thermoelasticity has a great role in ceramics. |
| Keywords |
Magnetic field, Rotation, Thermoelastic medium, Energy dissipation, Green-Lindsay model, Normal mode analysis, Eigenvalue approach |
| Received |
02 December 2024 | Revised |
26 January 2025 | Accepted |
29 January 2025 |
| Link to Fulltext |
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