 | | 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
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| In English (Mech. Solids): | | 5184 |
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| Savkirat Kaur, Aarti Khurana, and S.K. Tomar, "Rayleigh-Like Waves in Coated Elastic Half-Space with Voids: Use of Effective Boundary Condition Method," Mech. Solids. 60 (5), 4317-4334 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
5 |
Pages |
4317-4334 |
| DOI |
10.1134/S0025654425601582 |
| Title |
Rayleigh-Like Waves in Coated Elastic Half-Space with Voids: Use of Effective Boundary Condition Method |
| Author(s) |
Savkirat Kaur (Department of Mathematics, Dev Samaj College for Women, Chandigarh, 160047 India, savkirat33@gmail.com)
Aarti Khurana (Department of Mathematics, Panjab University, Chandigarh, 160014 India, aarti@pu.ac.in)
S.K. Tomar (Department of Mathematics, Panjab University, Chandigarh, 160014 India, sktomar@pu.ac.in) |
| Abstract |
Propagation of Rayleigh-like surface waves in a linear, homogeneous, and isotropic elastic
solid half-space coated with a thin isotropic elastic solid layer has been studied. The interface between
the half-space and the layer is assumed to be in smooth contact with each other. Both the layer and the
half-space contain uniform distribution of small void pores. The effective boundary conditions are
derived that replace the entire effect of the thin layer to the interface. These conditions are then utilized
to derive the approximate secular equations of second-order, third-order, and fourth-order for
Rayleigh-like wave propagation in terms of dimensionless wavenumber. The corresponding secular
equations are solved numerically to obtain the speed of propagating Rayleigh-like wave for a particular
model. The presence of voids in the model is found to influence the speed of Rayleigh-like wave theoretically and verified numerically. However, the void parameters of the half-space (and not of the layer) are found to affect the propagation of Rayleigh-like wave. In the absence of voids from the
model, the resulting secular equation is found to be in complete agreement with the corresponding
model available in literature. The nature of contact interface between layer and the half-space affects
the propagation speed of Rayleigh-like waves. The thickness of the coating/layer also affects the speed of propagation in the considered model. |
| Keywords |
Effective boundary condition, coated half-space, voids, smooth contact, Rayleigh-like wave, approximate secular equation |
| Received |
05 April 2025 | Revised |
30 July 2025 | Accepted |
30 July 2025 |
| Link to Fulltext |
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