On the Rayleigh Wave Speed in Orthotropic Elastic Solids |
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| Authors: | Vinh Pham Chi Ogden R W |
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| Institution: | (1) Faculty of Mathematics, Mechanics and Informatics, Hanoi National University, 334, Nguyen Trai Street, Thanh Xuan, Hanoi, Vietnam;(2) Department of Mathematics, University of Glasgow, Glasgow, G12 8QW, UK |
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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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| Keywords: | Rayleigh waves Wave speed Surface waves Orthotropy |
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