Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
in January 1966
Issued 6 times a year
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IssuesArchive of Issues2024-2pp.831-845

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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 2023Revised 25 February 2024Accepted 03 April 2024
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