 | | 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: | | 13554 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8194
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| In English (Mech. Solids): | | 5360 |
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| S.M. Abo-Dahab, E.S. Elidy, Samar Alshalhoub, Rajneesh Kumar, and Yagoub A.S. Arko, "Initial Stress and Viscosity on Propagation of Rayleigh Waves in Modified Couple Stress Thermoelastic Diffusion Medium," Mech. Solids. 60 (7), 5820-5841 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
7 |
Pages |
5820-5841 |
| DOI |
10.1134/S0025654425603829 |
| Title |
Initial Stress and Viscosity on Propagation of Rayleigh Waves in Modified Couple Stress Thermoelastic Diffusion Medium |
| Author(s) |
S.M. Abo-Dahab (Mathematics Department, Faculty of Science, South Valley University, Qena, Egypt, sdahb@yahoo.com)
E.S. Elidy (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt, eslamelidy@yahoo.com)
Samar Alshalhoub (Department of Curricula and Teachings Methods, Faculty of Education, King Saud University, Riyadh, 11451 Saudi Arabia, Salshalhoub@ksu.edu.sa)
Rajneesh Kumar (Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India, rajneesh_kuk@rediffmail.com)
Yagoub A.S. Arko (Department of Mathematics, Turabah University College, Taif University, Taif, 21944 Saudi Arabia, y.arko@tu.edu.sa) |
| Abstract |
This research examines how Rayleigh surface waves propagate in a visco-thermoelastic
medium modeled using modified couple stress theory (MCST), while accounting for the effects of initial stress, viscosity, and thermo-diffusion coupling. The study is conducted within the frameworks of
the Lord–Shulman (L-S) and Green–Lindsay (G-L) generalized thermoelastic theories. The fundamental governing equations and secular equations are derived under conditions of a stress-free surface,
thermal insulation, and impermeable boundaries. A numerical algorithm is developed to analyze the
impact of hydrostatic initial stress, viscosity, and diffusion on wave parameters such as phase velocity
and attenuation. Compared to earlier models that neglected viscosity or initial stress, the present
results show that these factors significantly modify the secular determinant and dispersion characteristics of Rayleigh waves. Notably, the inclusion of initial stress leads to increased stiffness in the
medium, reducing wave speed and enhancing attenuation. Viscosity introduces stronger damping
effects, while diffusion coupling alters the thermal-mechanical interaction, especially at higher frequencies. The study also provides graphical comparisons between the L-S and G-L models, highlighting how the dual relaxation times in G-L lead to more pronounced attenuation. These findings extend
previous work by offering a more comprehensive model that captures microstructural and pre-stress
effects, which are vital in applications related to geophysics, seismology, and advanced material characterization. |
| Keywords |
modified couple stress, visco-thermoelastic diffusion, rayleigh waves, initial stress, phase velocity, attenuation coefficient, lord-shulman theory, green-lindsay theory, thermoelastic damping |
| Received |
19 June 2025 | Revised |
14 July 2025 | Accepted |
15 July 2025 |
| Link to Fulltext |
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