 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 56, Issue 5 / 2021 | Next article >> |
| Pati P., Gupta S., and Mandi A., "Dispersion Analysis of Torsional Waves in a Corrugated Monoclinic Crystal Medium Cladded with a Void-Type Porous Layer and Viscous-Sandy Substrate," Mech. Solids. 56 (5), 771-786 (2021) |
| Year |
2021 |
Volume |
56 |
Number |
5 |
Pages |
771-786 |
| DOI |
10.3103/S0025654421050010 |
| Title |
Dispersion Analysis of Torsional Waves in a Corrugated Monoclinic Crystal Medium Cladded with a Void-Type Porous Layer and Viscous-Sandy Substrate |
| Author(s) |
Pati P. (Department of Mathematics & Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand, 826004 India, prasenjitpati@gmail.com)
Gupta S. (Department of Mathematics & Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand, 826004 India, shishir_ism@yahoo.com)
Mandi A. (Department of Mathematics & Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand, 826004 India, anand.mandi@gmail.com) |
| Abstract |
This paper is dedicated to the mathematical modeling of torsional surface waves in a heterogeneous monoclinic crystal cladded with a void type porous layer and gravitating viscous-sandy-elastic semi infinite substratum subjected to imperfect corrugated boundary surface. The model is solved analytically by using an implicit separable variable technique together with a Whittaker's function and Bessel's functions. This study focused on the determination of dispersion equation constituents from displacement components of the media by using suitable boundary conditions. The isotropic limit tests expose strong symphony together with the isotropic results attainable in literature. Detailed analysis through numerical simulations and graphical illustration of the dispersion equation includes discussion on the various rheological parameters such as shape of the irregular surfaces, Biot's gravity parameter, sandy parameter, heterogeneity parameter, dissipation factor etc., on the dispersion curves of torsional wave. |
| Keywords |
torsional surface wave, corrugation, void-pores, heterogeneity, viscosity |
| Received |
04 July 2020 | Revised |
25 February 2021 | Accepted |
26 February 2021 |
| Link to Fulltext |
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