 | | 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: | | 13217 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8152
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| In English (Mech. Solids): | | 5065 |
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| Deepa Devi, Santimoy Kundu, and Mohd Sadab, "Characteristics of Rayleigh Waves Propagation in a Micropolar Over a Dry Sandy Substrate with Fluid Saturated Porosity and Imperfect Interface," Mech. Solids. 60 (3), 2328-2343 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
3 |
Pages |
2328-2343 |
| DOI |
10.1134/S0025654425601326 |
| Title |
Characteristics of Rayleigh Waves Propagation in a Micropolar Over a Dry Sandy Substrate with Fluid Saturated Porosity and Imperfect Interface |
| Author(s) |
Deepa Devi (Department of Mathematics and computing, Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand, 826004 India, deepa96.dd@gmail.com)
Santimoy Kundu (Department of Mathematics and computing, Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand, 826004 India, santimoykundu@iitism.ac.in)
Mohd Sadab (Department of Mathematics and computing, Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand, 826004 India, mohdshad9625@gmail.com) |
| Abstract |
The present paper analyzes the propagation of Rayleigh waves in a micropolar liquid-saturated porous medium above a dry sandy half-space. The common interface of the micropolar layer and
sandy half-space is assumed to be imperfect, as the Earth’s crust is not perfectly elastic. Using the separation of variables technique, displacement components are obtained for each medium. Further-more, the dispersion equation is obtained in determinant form after using the appropriate boundary
conditions. The dispersion equation exhibits the phase velocity and wave number relationship.
In addition, some particular cases are studied to validate the problem by ignoring parameters such as
porosity, micropolarity, and sandiness. The dispersion equation reduces to the classical Rayleigh
waves equation for a homogeneous half-space, which validates the present mathematical model. The
present finding is useful in various seismology, engineering, and geophysics applications. |
| Keywords |
Rayleigh waves, micropolar media, porosity, sandy layer, dispersion relation |
| Received |
21 March 2025 | Revised |
30 April 2025 | Accepted |
02 May 2025 |
| Link to Fulltext |
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