Notes on Formulas for the Rayleigh Wave Velocity

Authors

  • Evgeniy Valer'evich Golubev South Ural State University, Chelyabinsk

DOI:

https://doi.org/10.14529/mmph250106

Keywords:

surface waves, Rayleigh wave velocity, characteristic equation roots, exact solution

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.

Author Biography

Evgeniy Valer'evich Golubev, South Ural State University, Chelyabinsk

Cand. Sc. (Physics and Mathematics), Associate Professor, Optoinformatics Department

Published

2025-01-23

Issue

Section

Physics