NOTES ON FORMULAS FOR THE RAYLEIGH WAVE VELOCITY

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.

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Publication Details

Journal
Bulletin of the South Ural State University series Mathematics Mechanics Physics
Published
2025-01-01
DOI
https://doi.org/10.14529/mmph250106
Primary Topic
Ultrasonics and Acoustic Wave Propagation
Type
article
Field-Weighted Citation Impact
0.00
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article

NOTES ON FORMULAS FOR THE RAYLEIGH WAVE VELOCITY

E.V. Golubev
Bulletin of the South Ural State University series Mathematics Mechanics Physics
Ultrasonics and Acoustic Wave Propagation
article

NOTES ON FORMULAS FOR THE RAYLEIGH WAVE VELOCITY

E.V. Golubev
article en

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.

Bulletin of the South Ural State University series Mathematics Mechanics PhysicsVol. 17(1)
Openalex Percentile: Top 87%
Ultrasonics and Acoustic Wave Propagation
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NOTES ON FORMULAS FOR THE RAYLEIGH WAVE VELOCITY — E.V. Golubev · Bulletin of the South Ural State University series Mathematics Mechanics Physics (2025) | TGRS Research Map | TGRS