Notes on Formulas for the Rayleigh Wave Velocity

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.