 | | 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: | | 13288 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8164
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| In English (Mech. Solids): | | 5124 |
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| Y.B. Darhas, N. Pradhan, S. Saha, A. Senapati, and S. Pramanik, "Influence of Boundaries on the Dispersion of Rayleigh Waves in a Functionally Graded Pre-Stressed Orthotropic Substrate," Mech. Solids. 60 (4), 2781-2799 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
4 |
Pages |
2781-2799 |
| DOI |
10.1134/S0025654425600515 |
| Title |
Influence of Boundaries on the Dispersion of Rayleigh Waves in a Functionally Graded Pre-Stressed Orthotropic Substrate |
| Author(s) |
Y.B. Darhas (Department of Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, Guntur, Andhra Pradesh, 522302 India, 2301530001@kluniversity.in)
N. Pradhan (Department of Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, Guntur, Andhra Pradesh, 522302 India, nirakara456@gmail.com)
S. Saha (Department of Mathematics, School of Applied Sciences, Kalinga Institute of Industrial Technology (KIIT) Deemed to be University, Bhubaneswar, Odisha, 751024 India; Department of Aerospace Engineering, IISC, Bangalore, 560012 India, shalinisahaism@gmail.com)
A. Senapati (Department of Mathematics, School of Applied Sciences, Kalinga Institute of Industrial Technology (KIIT) Deemed to be University, Bhubaneswar, Odisha, 751024 India, liti.archu@gmail.com)
S. Pramanik (Department of Mathematics, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Amaravati, Andhra Pradesh, 522503, India, snehamoy.pramanik@gmail.com) |
| Abstract |
The current research investigates the propagation behavior of Rayleigh-type waves in a prestressed functionally graded orthotropic substrate. Two types of material gradation, exponential and
logarithmic, are considered. The influence of these gradation profiles is analyzed under two boundary
conditions: stress-free and rigid. The derived dispersion relations account for the effects of gradient parameters, initial stress, and density variations. A comprehensive numerical analysis is performed to
evaluate the phase velocity and attenuation coefficient. The results reveal that both gradient types significantly affect the wave dispersion and attenuation behavior. Specifically, the exponential gradient
induces stronger changes at lower and moderate wave numbers, while the logarithmic gradient affects
attenuation more at lower wave numbers and phase velocity at higher wave numbers. The initial stress
parameter is found to decrease phase velocity across wave numbers, while density variation shows contrasting behavior depending on the boundary type. The findings provide critical insights into material
design, seismic analysis, and non-destructive testing techniques. |
| Keywords |
Rayleigh-type wave, Pre-stressed, Phase velocity, Functionally graded, Attenuation coefficient |
| Received |
31 January 2025 | Revised |
22 May 2025 | Accepted |
22 May 2025 |
| Link to Fulltext |
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