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On the Rayleigh Wave Speed in Orthotropic Elastic Solids

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Abstract

Recently, a formula for the Rayleigh wave speed in an isotropic elastic half-space has been given by Malischewsky and a detailed derivation given by the present authors. This study deals with the generalization of this formula to orthotropic elastic materials and Malischewsky’s formula is recovered as a special case. The formula is obtained using the theory of cubic equations and is expressed as a continuous function of three dimensionless material parameters.

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Authors and Affiliations

  1. Faculty of Mathematics, Mechanics and Informatics, Hanoi National University, 334, Nguyen Trai Street, Thanh Xuan, Hanoi, Vietnam

    Pham Chi Vinh & R. W. Ogden

Authors
  1. Pham Chi Vinh
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  2. R. W. Ogden
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Correspondence to R. W. Ogden.

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Vinh, P.C., Ogden, R.W. On the Rayleigh Wave Speed in Orthotropic Elastic Solids. Meccanica 40, 147–161 (2005). https://doi.org/10.1007/s11012-005-1603-6

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  • DOI: https://doi.org/10.1007/s11012-005-1603-6

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