Elastic Surface Waves Induced by Internal Sources

Prikazchikov D.A. Chevrychkina A.A. Chorozoglou A. Khajiyeva L.
October 2021 Springer

Journal of Mathematical Sciences (United States)
2021 #258 Issue 4 545 - 552 pp.

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.

hyperbolic-elliptic model , internal sources , Rayleigh waves

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School of Computing and Mathematics, Keele University, Keele, Staffordshire, United Kingdom
Saint-Petersburg State University, Saint-Petersburg, Russian Federation
Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Saint-Petersburg, Russian Federation
Al-Farabi Kazakh National University, Almaty, Kazakhstan

School of Computing and Mathematics
Saint-Petersburg State University
Institute for Problems in Mechanical Engineering
Al-Farabi Kazakh National University

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