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Boundary integral equations for the scattering of elastic waves by elastic inclusions with thin interface layers

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Abstract

Elastic waves are scattered by an elastic inclusion. The interface between the inclusion and the surrounding material is imperfect: the displacement and traction vectors on one side of the interface are assumed to be linearly related to both the displacement vector and the traction vector on the other side of the interface. The literature on such inclusion problems is reviewed, with special emphasis on the development of interface conditions modeling different types of interface layer. Inclusion problems are formulated mathematically, and uniqueness theorems are proved. Finally, various systems of boundary integral equations over the interface are derived.

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  1. Department of Mathematics, University of Manchester, M13 9PL, Manchester, England

    P. A. Martin

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Martin, P.A. Boundary integral equations for the scattering of elastic waves by elastic inclusions with thin interface layers. J Nondestruct Eval 11, 167–174 (1992). https://doi.org/10.1007/BF00566407

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  • DOI: https://doi.org/10.1007/BF00566407

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