A special relation between Young's modulus, Rayleigh-wave velocity, and Poisson's ratio.

Bayon et al. [(2005). J.

An improved approximation of Bergmann's form for the Rayleigh wave velocity.

In the present paper an improved approximation for the Rayleigh wave velocity in isotropic elastic solids is obtained using the method of least squares. It is of Bergmann's form, i.e.

Explanation for Malischewsky's approximate expression for the Rayleigh wave velocity.

An approach for obtaining approximations of the Rayleigh wave velocity created by the principle of least squares is introduced. In view of this approach, Malischewsky's approximation of the Rayleigh wave velocity for Poisson ratios v in the set of [-1, 0.5] proposed quite recently is explained.