A Note on Perturbation Formulae for the Surface-Wave Speed Due To Perturbations in Material Properties |
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Authors: | Y Q Song Y B Fu |
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Institution: | (1) Department of Engineering Mechanics, China University of Mining and Technology, Beijing, China;(2) Department of Mathematics, Keele University, Staffordshire, ST5 5BG, UK |
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Abstract: | In a recent paper by Tanuma and Man, a two-term asymptotic formula was derived for the speed of surface waves propagating
in an anisotropic elastic half-space whose elastic moduli differ only slightly from those for a (base) isotropic elastic material.
This formula disagrees with that derived by Delsanto and Clark in an earlier paper using a different method. In this short
note, we use a simple procedure to derive another two-term asymptotic formula for the surface-wave speed. Our formula takes
the same compact form even if the base material is generally anisotropic. We show that when an error in the work of Delsanto
and Clark is corrected, the three different methods do give equivalent results.
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Keywords: | Surface waves Stroh formulation Surface-wave speed |
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