Danila Prikazchikov d.prikazchikov@keele.ac.uk
Elastic Surface Waves Induced by Internal Sources
Prikazchikov, D.A.; Chevrychkina, A.A.; Chorozoglou, A.; Khajiyeva, L.
Authors
A.A. Chevrychkina
A. Chorozoglou
L. Khajiyeva
Abstract
The paper is focused on the surface wave field induced by an internal time-harmonic point source embedded in the elastic half space. By using the superposition principle, we first analyze the disturbances caused by the embedded source in an unbounded half space. The problem is then reformulated in terms of the discrepant stresses on the surface of a homogeneous half space. Our analysis is based on the hyperbolic- elliptic asymptotic model of surface elastic waves neglecting the contribution of the bulk waves. Explicit results for the contribution of surface waves are obtained, including the arising frequency- dependent factor.
Journal Article Type | Article |
---|---|
Acceptance Date | Oct 7, 2021 |
Publication Date | Oct 7, 2021 |
Publicly Available Date | Mar 28, 2024 |
Journal | Journal of Mathematical Sciences |
Print ISSN | 1072-3374 |
Publisher | Springer Verlag |
Peer Reviewed | Peer Reviewed |
Volume | 258 |
Pages | 545 - 552 |
DOI | https://doi.org/10.1007/s10958-021-05565-2 |
Publisher URL | https://link.springer.com/article/10.1007/s10958-021-05565-2 |
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Publisher Licence URL
https://creativecommons.org/licenses/by-nc/4.0/
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