 | | 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
|
| In English (Mech. Solids): | | 4760 |
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| S.M. Abo-Dahab, M. Daher Albalwi, Rajneesh Kumar, A.M. Abd-Alla, F.M. Alharbi, and F.S. Bayones, "Analysis of Wave Motion Phenomenon Through a Homogeneous Isotropic Porous Elastic Plate," Mech. Solids. 59 (2), 1007-1020 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
2 |
Pages |
1007-1020 |
| DOI |
10.1134/S0025654424602763 |
| Title |
Analysis of Wave Motion Phenomenon Through a Homogeneous Isotropic Porous Elastic Plate |
| Author(s) |
S.M. Abo-Dahab (Mathematics Department, Faculty of Science, South Valley University, Qena, 83523 Egypt, sdahb@yahoo.com)
M. Daher Albalwi (Yanbu Industrial College, The Royal Commission for Jubail and Yanbu, 30436 Saudi Arabia, albalwim@rcyci.edu.sa)
Rajneesh Kumar (Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India, rajneesh_kuk@rediffmail.com)
A.M. Abd-Alla (Mathematics Department, Faculty of Science, Sohag University, Sohag, Egypt, fmharbi@uqu.edu.sa)
F.M. Alharbi (Mathematics Department, Faculty of Science, Umm Al-Qura University, Makkah, Saudi Arabia, falharbi@umqura.edu.sa)
F.S. Bayones (Department of Mathematics and Statistics, College of Science, Taif University, Taif, 21944 Saudi Arabia, f.s.bayones@hotmail.com) |
| Abstract |
The present investigation is focussed on waves propagation in an isotropic homogeneous,
porous elastic plate subjected to conditions in context of stress free. The symmetric and skew-symmetric secular equations for wave mode propagation are deduced. The results of thin plate are also
obtained. The determinant of secular equation of Rayleigh–Lamb, velocity of Rayleigh–Lamb phase,
and attenuation coefficient are shown graphically for different various values of frequency, porosity
parameter, compressibility constituents and thickness of the plate with wave number. A particular case
is also deduced. Attenuation coefficient and phase velocity for Rayleigh–Lamb wave by computational simulations are calculated. In order to have a deeper understanding of Rayleigh–Lamb wave
propagation, this inquiry looks beyond simple calculations and analyses particle motion. Additionally,
research studies the effects of frequency factors and porosity on these wave phenomena. The findings
of this work shed light on a number of unusual situations that greatly advance our knowledge of
Rayleigh–Lamb wave propagation in this complex material system, especially when porosity is
included. This study has been formulating a novel basic equations for an isotropic homogeneous
porous elastic plate, highlighting the Rayleigh–Lamb waves significance and investigating the several
parameters impact on the phenomenon. |
| Keywords |
incompressible porous medium, pore pressure, Rayleigh–Lamb secular equation, phase velocity, attenuation coefficient |
| Received |
18 February 2024 | Revised |
09 April 2024 | Accepted |
10 April 2024 |
| Link to Fulltext |
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