 | | 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: | | 13362 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
|
| In English (Mech. Solids): | | 5184 |
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| << Previous article | Volume 60, Issue 5 / 2025 | Next article >> |
| Suraj Sharma and Ravinder Kumar, "Love Wave Propagation in a Homogeneous Thermoelastic Layer over a Non-Homogeneous Half-Space with Triangular Irregularity," Mech. Solids. 60 (5), 4259-4277 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
5 |
Pages |
4259-4277 |
| DOI |
10.1134/S0025654425602162 |
| Title |
Love Wave Propagation in a Homogeneous Thermoelastic Layer over a Non-Homogeneous Half-Space with Triangular Irregularity |
| Author(s) |
Suraj Sharma (Department of Mathematics, University Institute of Sciences, Chandigarh University, Mohali-140413, Punjab, India, bhardwajsuraj070@gmail.com)
Ravinder Kumar (Department of Mathematics, University Institute of Sciences, Chandigarh University, Mohali-140413, Punjab, India, ravinderpoonia25@gmail.com) |
| Abstract |
This study investigates the behavior of Love waves in a layered structure comprising a
homogeneous isotropic thermoelastic layer overlying a non-homogeneous elastic half-space. A triangular-shaped irregularity at the interface introduces a geometric discontinuity between the two media.
This analysis emphasizes the mechanical influence of the thermoelastic properties, providing insights
into how temperature-dependent material influence surface wave dynamics. The governing equations
of motion are developed based on Biot’s theory of elasticity incorporating thermoelastic effects. These
equations are analytically solved using Fourier and inverse Fourier transformation techniques, followed by the application of Eringen and Samual’s perturbation method. This results to the derivation
of a dispersion equation for Love waves in the considered geometry. The dispersion relation is graphically analyzed using MATLAB, illustrating how the dimensionless phase velocity varies with the
dimensionless wave number under different inhomogeneity conditions and varying ratios of irregularity depth to layer height. The numerical results show that material inhomogeneity and interface irregularities have a significant impact on wave behavior. The numerical results show that thermal effects,
in conjunction with material inhomogeneity and triangular geometric irregularities, greatly influence
the phase velocity of Love waves. This study offers deeper understanding of wave propagation in complex geological settings and contributes to improved modeling techniques in geophysics, earthquake risk assessment. |
| Keywords |
Love waves, thermoelastic layer, irregularity, dispersion equation, heterogeneity |
| Received |
29 April 2025 | Revised |
19 June 2025 | Accepted |
27 July 2025 |
| Link to Fulltext |
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