Abstract
The long-wavelength problem of scattering by a rigid inclusion in an elastic medium is studied. Taking into account the mobility of the inclusion leads to non-classical boundary conditions. At infinity the solution is sought in the form of a multipole ansatz. Near the scatterer a series of static problems is obtained. In the course of the solution the integral characteristic of the rigid mobile inclusion, whose scalar analog is the tensor eij studied by Polya and Szegö, arises in a natural manner.
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Literature cited
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Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 156, pp. 61–68, 1986.
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Ivanov, M.I. Diffraction by a rigid, mobile inclusion. J Math Sci 50, 1719–1724 (1990). https://doi.org/10.1007/BF01097101
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DOI: https://doi.org/10.1007/BF01097101