| | 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: | | 12854 |
In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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In English (Mech. Solids): | | 4810 |
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<< Previous article | Volume 59, Issue 2 / 2024 | Next article >> |
Dinesh Kumar Majhi, Manish Kumar, Bhanu Pratap Rajak, and Santimoy Kundu, "Effect of Non-Homogeneity and Initial Stress on Torsional Surface Wave Propagation in Initially Stressed Poroelastic Medium Bounded by a Heterogeneous Layer and Half-Space," Mech. Solids. 59 (2), 831-845 (2024) |
Year |
2024 |
Volume |
59 |
Number |
2 |
Pages |
831-845 |
DOI |
10.1134/S0025654423602355 |
Title |
Effect of Non-Homogeneity and Initial Stress on Torsional Surface Wave Propagation in Initially Stressed Poroelastic Medium Bounded by a Heterogeneous Layer and Half-Space |
Author(s) |
Dinesh Kumar Majhi (Department of Mathematics, Patna College, Patna University, Patna, 800005 India)
Manish Kumar (Department of Mathematics, Patna University, Patna, 800005 India)
Bhanu Pratap Rajak (Department of Computer Science and Engineering, Institute of Technical Education and Research – Siksha ‘o’ Anusandhan, Bhubaneswar, 751030 India, pratapb536@gmail.com)
Santimoy Kundu (Department of Mathematics and Computing, Indian Institute of Technology (Indian School of Mines) Dhanbad, 826004 India) |
Abstract |
Since the layer of the Earth is non-homogeneous and initially stressed, this paper has framed to discuss propagation of torsional type surface wave in an initially stressed poroelastic medium sandwiched between a non-homogeneous layer with linear type variation in density and rigidity and a half-space of heterogeneous medium with exponential type variation in density and rigidity. Dispersion equation of this kind of wave has been obtained with the help of Whittaker’s expansion and separation of variables method under some specified boundary conditions. The effect of non-homogeneity related with layer and half-space and initial stress of sandwiched medium have been illustrated based on their graphical discussion. It has been found that the presence of non-homogeneity in the material enhances the phase velocity but it also enhances the phase velocity with descending values of initial stress. |
Keywords |
torsional surface wave, non-homogeneous, initial stress, dispersion equation |
Received |
13 November 2023 | Revised |
25 February 2024 | Accepted |
03 April 2024 |
Link to Fulltext |
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