 | | 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: | | 13653 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8223
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| In English (Mech. Solids): | | 5430 |
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| A.M. Abd-Alla and F.S. Bayones, "A Two-Dimensional Thermoelasticity Problem for a Half Space Subjected to Magnetic Field," Mech. Solids. 60 (8), 6744-6755 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
8 |
Pages |
6744-6755 |
| DOI |
10.1134/S002565442560357X |
| Title |
A Two-Dimensional Thermoelasticity Problem for a Half Space Subjected to Magnetic Field |
| Author(s) |
A.M. Abd-Alla (Mathematics Department, Faculty of Science, Sohag University, Egypt, mohmrr@yahoo.com)
F.S. Bayones (Department of Mathematics and Statistics, College of Science, Taif Universit, Taif, 21944 Saudi Arabia, f.bayones@tu.edu.sa) |
| Abstract |
In this work we study a two-dimensional problem in magneto-thermoelasticity for a half-space model. An internal heat source of constant magnitude is acting in the half-space. This study
sought to improve the comprehension of wave propagation in magneto-hermoelastic materials
according to Classical theory of elasticity (CT) by developing precise wave solutions for the governing
equations that take into consideration temperature-dependent material features. The analytical
expressions of displacement components, stress components and temperature field are obtained by
Lame’s potential method and normal mode analysis technique. The numerical values of these functions are represented graphically. The work includes detailed graphical representations of crucial discoveries such as temperature distributions, stress components, and displacement components which
provide amazing visual insights into the complex interactions that occur within thermo-elastic systems. From the distributions, it can be found the wave type heat propagation in the medium. A comparison is made with the results obtained in the presence and absence of the magnetic field. |
| Keywords |
Thermal stress, Partial differential equation, Thermoelasticity, Half-space, Normal mode, lame’s potential, Magnetic field |
| Received |
01 July 2025 | Revised |
16 August 2025 | Accepted |
04 September 2025 |
| Link to Fulltext |
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