Elastic Surface Waves Induced by Internal Sources

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

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