On Rayleigh waves in incompressible orthotropic elastic solids |
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Authors: | Ogden Ray W Vinh Pham Chi |
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Institution: | Department of Mathematics, University of Glasgow, Glasgow G12 8QW, United Kingdom. rwo@maths.gla.ac.uk |
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Abstract: | In this paper the secular equation for the Rayleigh wave speed in an incompressible orthotropic elastic solid is obtained in a form that does not admit spurious solutions. It is then shown that inequalities on the material constants that ensure positive definiteness of the strain-energy function guarantee existence and uniqueness of the Rayleigh wave speed. Finally, an explicit formula for the Rayleigh wave speed is obtained. |
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