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- W2320904189 abstract "Abstract In this paper, the transition matrix for elastic waves scattering from an alluvium on an elastic half‐space is developed. Betti's third identity is employed to establish orthogonality conditions among basis functions that are Lamb's singular wave functions. The total displacements and associated tractions for both the surrounding half‐space and alluvium are expanded in a Rayleigh series. After the boundary conditions are applied, the T‐matrix can be obtained. Explicit forms of the basis functions are derived for the two‐dimensional anti‐plane and in‐plane problems. The linear transformation is utilized to construct a set of orthogonal basis functions. The transformed T‐matrix is related to the scattering matrix and it is shown that the scattering matrix is symmetric and unitary and that the T‐matrix is also symmetric. Some typical scattering cases induced by incident plane waves are illustrated for verification." @default.
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- W2320904189 date "2007-09-01" @default.
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- W2320904189 title "The transition matrix for the scattering of elastic waves in a half‐space" @default.
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- W2320904189 doi "https://doi.org/10.1080/02533839.2007.9671326" @default.
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