 | | 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: | | 12977 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8096
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| In English (Mech. Solids): | | 4881 |
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| S.M. Abo-Dahab, A.E. Abouelregal, Maha M. Helmi, A.M. Abd-Alla, and Mnahil M. Bashier, "Dual-Phase-Lag Model on Reflection of P- and SV- Magneto-Thermoelastic Waves from Isothermal Boundary of a Half-Space," Mech. Solids. 59 (5), 2876-2891 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
5 |
Pages |
2876-2891 |
| DOI |
10.1134/S0025654424604567 |
| Title |
Dual-Phase-Lag Model on Reflection of P- and SV- Magneto-Thermoelastic Waves from Isothermal Boundary of a Half-Space |
| Author(s) |
S.M. Abo-Dahab (Department of Mathematics, Faculty of Science, South Valley University, Qena, 83523 Egypt, sdahb@yahoo.com)
A.E. Abouelregal (Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt, ahmabouelregal@gmail.com)
Maha M. Helmi (Mathematics Department, Faculty of Science, Sohag University, Egypt, m.hlmi@tu.edu.sa)
A.M. Abd-Alla (Department of Mathematics and Statistics, College of Science, Taif University, Taif, 21944 Saudi Arabia, mohmrram@yahoo.com)
Mnahil M. Bashier (Department of Mathematics, Faculty of Science, Northern Border University, Arar, Saudi Arabia, mnahil.elradi@nbu.edu.sa) |
| Abstract |
This study investigates reflection of SV-wave as well as p-wave within a homogeneous and
isotropic generalized magneto-thermoelastic half-space subjected to isothermal and stress-free, employing the theoretical dual-phase-lag model. The fundamental governing equations are employed
in the framework of Tzou model with dual-phase-lag (DPL). The results showed three plane waves, i.e. p-, thermal, as well as SV-waves. The study considered reflecting an isothermal stressed-free surface to get the amplitude ratios of these waves for getting p- and SV-waves. The amplitude ratios were
given graphically for the generalized theories of thermoelasticity. Finally, the obtained results were
compared with the findings of the literature. A comparison has been made between the present results
and the previous results presented by others. The numerical and graphical results underscore the significant influence of phase lag and magnetic field on the phenomenon of reflection of p-wave and SV-wave. |
| Keywords |
reflection, half space, magneto-thermoelasticity, p-wave, SV-wave, isothermal boundary, stress-free, phase-lags |
| Received |
09 July 2024 | Revised |
28 August 2024 | Accepted |
14 September 2024 |
| Link to Fulltext |
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