 | | 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: | | 12949 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8096
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| In English (Mech. Solids): | | 4853 |
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| << Previous article | Volume 59, Issue 4 / 2024 | Next article >> |
| S.M. Abo-Dahab, Saad Althobaiti, Rajneesh Kumar, Vandana Gupta, A.M. Abd-Alla, and F.M. Alharbi, "Stoneley Waves at an Interface of Two Thermoelastic Diffusion Media Considering Green–Naghdi Models," Mech. Solids. 59 (4), 2127-2140 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
4 |
Pages |
2127-2140 |
| DOI |
10.1134/S0025654424603987 |
| Title |
Stoneley Waves at an Interface of Two Thermoelastic Diffusion Media Considering Green–Naghdi Models |
| Author(s) |
S.M. Abo-Dahab (Mathematics Department, Faculty of Science, South Valley University, Qena, 83523 Egypte, sdahb@yahoo.com)
Saad Althobaiti (Department of Science and Technology, University College Ranyah, Taif University, Ranyah, 21975 Saudi Arabia, snthobaiti@tu.edu.sa)
Rajneesh Kumar (Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India, rajneesh_kuk@rediffmail.com)
Vandana Gupta (Indira Gandhi National College, Ladwa (Dhanora), Haryana, India, mohmrr@yahoo.com)
A.M. Abd-Alla (Mathematics Department, Faculty of Science, Sohag University, Sohag, Egypte)
F.M. Alharbi (Mathematics Department, Faculty of Science, Umm Al-Quraa University, Makkah, Saudi Arabia, falharbi@umqura.edu.sa) |
| Abstract |
The present study envisages on the mathematical modeling and analysis of the dispersion
relation of surface waves and in particular Stoneley wave, in a diffusion media homogeneous thermoelastic material having boundary conditions. Adoption of the harmonic method of wave analysis, nondimensional of the derived equations of motion and boundary conditions produced by the model are
also encompassed in this study. The Stoneley waves propagation at the interface between two-thermoelastic diffusion solid half spaces considering Green–Nagdhi models of thermoelasticity (type-II as well as type-III) [1, 2] is studied. The dispersion equation of Stoneley waves is derived in the compact
form by using the appropriate boundary conditions. Furthermore we use the numerical methods and computations to calculate the propagation characteristics like determinant magnitude, Stoneley wave
velocity and attenuation coefficient. The obtained numerical results are depicted graphically. Some special cases are also discussed. This study formulate a novel governing equation for an interface of two
thermoelastic media with diffusion, the Stoneley waves significance and investigating the influence of wave number, wavelength and phase velocity. A comparison made between the previous results
obtained and the present study that indicates to the strong impact for the external parameters and
applicable in diverse related fields as geology, biology, engineering, and astronomy. |
| Keywords |
thermoelastic, diffusion, dispersion equation, Stoneley waves, Green–Naghdi models |
| Received |
28 May 2024 | Revised |
01 August 2024 | Accepted |
02 August 2024 |
| Link to Fulltext |
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| << Previous article | Volume 59, Issue 4 / 2024 | Next article >> |
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