Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika"
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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2025, Volume 17, Issue 1, Pages 48–52
DOI: https://doi.org/10.14529/mmph250106 (Mi vyurm627) 		 
Physics

Notes on formulas for the Rayleigh wave velocity

E. V. Golubev

South Ural State University, Chelyabinsk, Russian Federation
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DOI: https://doi.org/10.14529/mmph250106
Abstract: The paper derives the expression for the velocity of surface waves on the boundary of an elastic half-space (Rayleigh waves) through the velocities of volume elastic waves. It presents the generalized D. Nkemzi and P.G. Malischewsky’s formulas, proposes the solution to the equation expressed through trigonometric and hyperbolic functions and considers some approximate formulas.
Keywords: surface waves, Rayleigh wave velocity, characteristic equation roots, exact solution.
Received: 08.12.2024
Document Type: Article
UDC: 534.2
Language: Russian
Citation: E. V. Golubev, “Notes on formulas for the Rayleigh wave velocity”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 17:1 (2025), 48–52
Citation in format AMSBIB
\Bibitem{Gol25}
\by E.~V.~Golubev
\paper Notes on formulas for the Rayleigh wave velocity
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2025
\vol 17
\issue 1
\pages 48--52
\mathnet{http://mi.mathnet.ru/vyurm627}
\crossref{https://doi.org/10.14529/mmph250106}
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