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Elastic Surface Waves Induced by Internal Sources

Prikazchikov, D.A.; Chevrychkina, A.A.; Chorozoglou, A.; Khajiyeva, L.

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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.

Citation

Prikazchikov, D., Chevrychkina, A., Chorozoglou, A., & Khajiyeva, L. (2021). Elastic Surface Waves Induced by Internal Sources. Journal of Mathematical Sciences, 258, 545 - 552. https://doi.org/10.1007/s10958-021-05565-2

Journal Article Type Article
Acceptance Date Oct 7, 2021
Publication Date Oct 7, 2021
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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