 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| S.M. Abo-Dahab, Mohamed I.A. Othman, M.A. Aiyashi, M. Daher Albalwi, and A. Yvaz, "Plane Waves Reflection in a Generalized Magneto-Thermoelastic Solid in the Context of Three-Phase-Lag Model," Mech. Solids. 59 (1), 297-310 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
1 |
Pages |
297-310 |
| DOI |
10.1134/S0025654423602306 |
| Title |
Plane Waves Reflection in a Generalized Magneto-Thermoelastic Solid in the Context of Three-Phase-Lag Model |
| Author(s) |
S.M. Abo-Dahab (Department of Mathematics, Faculty of Science, South Valley University, Qena, 83523 Egypt, sdahb@yahoo.com)
Mohamed I.A. Othman (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt, m_i_a_othman@yahoo.com)
M.A. Aiyashi (Department of Mathematics, College of Science, Jazan University, Jazan, 45142 Saudi Arabia, moalshi90@gmail.com)
M. Daher Albalwi (Yanbu Industrial College, The Royal Commission for Jubail and Yanbu, 30436 Saudi Arabia, albalwim@rcyci.edu.sa)
A. Yvaz (World-Class Research Center “Advanced Digital Technologies,” State Marine Technical University, St. Petersburg, 190121 Russia, yvaz.andre@gmail.com) |
| Abstract |
The present paper is aimed at studying the reflection of thermoelastic waves under the generalized thermoelasticity theory is employed to study the reflection of plane harmonic waves from a semi-infinite elastic solid under the effect of the magnetic field in a vacuum. The formulation is applied under the thermoelasticity theory with three-phase-lag. The expressions for the reflection coefficients, which are the relations of the amplitudes of the reflected waves to the amplitude of the incident waves, are obtained. Similarly, the reflection coefficient ratio variations with the angle of incident under different conditions are shown graphically. Comparisons are made with the results predicted by different theories Lord-Shulman theory (L-S), the Green-Naghdi theory of type III (G-N III) and the three-phase-lag model (3PHL) in the absence and presence of a magnetic field. The new results obtained clear that the external parameters and theories applied have strong impact on the phenomenon and applicable on the related topics as geophysics, acoustics, aerospace. astronomy, ..., etc |
| Keywords |
reflection, thermoelasticity, magnetic field, three-phase-lag, Lord-Shulman, Green-Naghdi theory |
| Received |
06 November 2023 | Revised |
28 January 2024 | Accepted |
06 February 2024 |
| Link to Fulltext |
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