Abstract
We construct the asymptotic form of the solution in the long-wavelength limit for the problem of scattering of plane waves in an elastic medium by a cavity or rigid nonmoving inclusion. The parameters determining the scattered wave at large distances in the first approximation are expressed in terms of the integrated characteristics of the scatterer, such as its volume, the tensor analog of the capacity, the Wiener capacity in the two-dimensional case, and the dipole elastic tensor. Some of these characteristics are new.
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Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 156, pp. 6–19, 1986.
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Babich, V.M., Ivanov, M.I. Long-wavelength approximation in scattering of elastic waves. J Math Sci 50, 1685–1693 (1990). https://doi.org/10.1007/BF01097096
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DOI: https://doi.org/10.1007/BF01097096