Formulas for the Rayleigh wave speed in orthotropic elastic solids

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Authors

  • Pham Chi Vinh Faculty of Mathematics, Mechanics and Informatics, Hanoi National University, Vietnam
  • R.W. Ogden Department of Mathematics, University of Glasgow, United Kingdom

Abstract

Formulas for the speed of Rayleigh waves in orthotropic compressible elastic materials are obtained in explicit form by using the theory of cubic equations. Different formulas are obtained by using different forms of the (cubic) secular equation. Each formula is expressed as a continuous function of three dimensionless material parameters, which are the ratios of certain elastic constants. It is interesting to note that one of the formulas includes as a special case the formula obtained recently by Malischewsky for isotropic materials.

Keywords:

Rayleigh waves, wave speed, orthotropy