Abstract
In this paper the scattering of a plane longitudinal or transverse wave by a penetrable ellipsoid in an isotropic and homogeneous elastic medium in the low-frequency region is examined. Using low-frequency expansions the scattering problem is reduced to a sequence of potential problems. Explicit closed-form solutions for the zeroth and first-order approximations are obtained. The solution of the problem was made possible by using an analytical technique based on Papkovich-Grodski-Neuber potentials. The normalized scattering amplitudes and the scattering cross-section are evaluated up to k 3-order terms, respectively.
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The author would like to thank the Greek Ministry of Research and Technology for partially supporting the present work.
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Kiriaki, K. Low-frequency expansions for a penetrable ellipsoidal scatterer in an elastic medium. J Eng Math 23, 295–314 (1989). https://doi.org/10.1007/BF00128904
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DOI: https://doi.org/10.1007/BF00128904