 | | 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
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| In English (Mech. Solids): | | 5124 |
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| Zuhur Alqahtani, Ibrahim Abbas, Alaa A. El-Bary, and Areej Almuneef, "Magnetothermoelastic Interactions in an Infinite Medium upon Hyperbolic Two-Temperature," Mech. Solids. 59 (8), 4129-4142 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
8 |
Pages |
4129-4142 |
| DOI |
10.1134/S0025654424606372 |
| Title |
Magnetothermoelastic Interactions in an Infinite Medium upon Hyperbolic Two-Temperature |
| Author(s) |
Zuhur Alqahtani (Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, 11671 Saudi Arabia, zumalqahtani@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, 4471344 Egypt, aaelbary@aast.edu)
Areej Almuneef (Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, 11671 Saudi Arabia, aaalmuneef@pnu.edu.sa) |
| Abstract |
The general thermoelastic theory, based on Lord-Shulman (LS) theory with hyperbolic two temperatures, is used to analyze the magnetothermoelasticity problem in a semi-infinite material. The medium surface is caused by heat flux and is either taken to be traction-free or constrained as specified. Using Laplace transform techniques, the generalized magnetothermoelastic set of coupled basic equations is rewritten in the series of the matrix-vector differential equations and then solved by the eigenvalues method. The inversion of the transformation solutions is demonstrated in the space-time domains by the Riemann-sum approximation approach and graphically represented in two specific cases. It is demonstrated graphically how the conductive temperature ϕ, thermodynamically temperature T, displacement u, stress σxx, electric E and induced magnetic h fields were influenced by the hyperbolic two-temperatures parameter and magnetic field. |
| Keywords |
Laplace transforms, eigenvalues technique, magneto-thermoelastic model, hyperbolic two temperatures |
| Received |
12 November 2024 | Revised |
02 December 2024 | Accepted |
04 December 2024 |
| Link to Fulltext |
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