 | | 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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| << Previous article | Volume 60, Issue 4 / 2025 | Next article >> |
| A.I. Karakozova and S.V. Kuznetsov, "Convertion of Wave Modes upon Reflection at the Boundary between Elastic Half-Spaces," Mech. Solids. 60 (4), 2445-2452 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
4 |
Pages |
2445-2452 |
| DOI |
10.1134/S0025654425600278 |
| Title |
Convertion of Wave Modes upon Reflection at the Boundary between Elastic Half-Spaces |
| Author(s) |
A.I. Karakozova (Moscow State University of Civil Engineering, Moscow, 129337 Russia, karioca@mail.ru)
S.V. Kuznetsov (Moscow State University of Civil Engineering, Moscow, 129337 Russia; Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia) |
| Abstract |
It is known that an incident bulk P-wave propagating in a homogeneous isotropic halfspace, being reflected from the plane boundary, may exhibit a mode conversion into shear S-wave without the formation of reflected P-waves. The mode conversion takes place, when the incident wave hits the boundary at some critical angles, which depend upon Poisson’s ratio. Herein, it is revealed that the Jeffreys solution for the mode conversion angles needs in in corrections, mainly because of spurious roots, appeared at solving a specially constructed eighth-order polynomial for the P-wave reflection coefficient. The developed approach allowed us to construct a bi-cubic polynomial and obtain analytical expressions for its roots, and to find correct values for angles of incidence, at which the mode conversion occurs. |
| Keywords |
bulk waves, isotropy, angle of incidence, velocity, impedance |
| Received |
27 December 2024 | Revised |
19 January 2025 | Accepted |
31 January 2025 |
| Link to Fulltext |
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