 | | 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: | | 13427 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
|
| In English (Mech. Solids): | | 5249 |
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| << Previous article | Volume 60, Issue 6 / 2025 | Next article >> |
| M.I.A. Othman, S.M. Said, E.M. Gamal, and R.A. Fathy, "Thermoelastic Response of Micropolar Solids Influenced by Locality and Hall Current under Green–Lindsay Theory with Memory Dependence," Mech. Solids. 60 (6), 5189-5205 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
6 |
Pages |
5189-5205 |
| DOI |
10.1134/S0025654425604628 |
| Title |
Thermoelastic Response of Micropolar Solids Influenced by Locality and Hall Current under Green–Lindsay Theory with Memory Dependence |
| Author(s) |
M.I.A. Othman (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, 44519 Egypt, m_i_a_othman@yahoo.com)
S.M. Said (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, 44519 Egypt, samia_said59@yahoo.com)
E.M. Gamal (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, 44519 Egypt, esraa1811999@gmail.com)
R.A. Fathy (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, 44519 Egypt, raniafathy750@gmail.com) |
| Abstract |
In the present study, we examined the effects of Hall current and nonlocality on a micropolar thermoelastic solid. The problem was analyzed within the framework of the Green–Lindsay (G–L) theory, and analytical expressions for the physical fields were derived using the normal mode
method. Graphical results were presented to evaluate the influence of the magnetic field, nonlocal
parameter, and Hall current on the behavior of various physical quantities. MATLAB software was
employed to carry out the numerical computations. The results reveal that both the nonlocal parameter and Hall current significantly affect the distribution of the physical fields. A comparative analysis
was conducted to highlight the differences between the cases with and without the inclusion of nonlocality and Hall current. The findings underscore the strong influence of these external parameters and
demonstrate the model’s relevance to a range of applied fields, including astronomy, acoustics, engineering, and physics. |
| Keywords |
Hall current, Green-Lindsay concept, Micropolar thermoelastic medium, Nonlocal parameter, Memory-dependent derivative |
| Received |
28 August 2025 | Revised |
28 September 2025 | Accepted |
02 October 2025 |
| Link to Fulltext |
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