A special relation between Young's modulus, Rayleigh-wave velocity, and Poisson's ratio.
Bayon et al. [(2005). J. Acoust. Soc. Am. 117, 3469-3477] described a method for the determination of Young's modulus by measuring the Rayleigh-wave velocity and the ellipticity of Rayleigh waves, and found a peculiar almost linear relation between a non-dimensional quantity connecting Young's modulus, Rayleigh-wave velocity and density, and Poisson's ratio. The analytical reason for this special behavior remained unclear. It is demonstrated here that this behavior is a simple consequence of the mathematical form of the Rayleigh-wave velocity as a function of Poisson's ratio. The consequences for auxetic materials (those materials for which Poisson's ratio is negative) are discussed, as well as the determination of the shear and bulk moduli.
Malischewsky
Peter G
PG
Institute for Geosciences, Friedrich-Schiller University Jena, Burgweg 11, D-07749 Jena, Germany. p.mali@uni-jena.de
Tuan
Tran Thanh
TT