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Elastic Wave Scattering on a Thin‐Walled Inclusion
Author(s) -
Lavrov N. A.
Publication year - 1997
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19970770823
Subject(s) - scattering , shell (structure) , inclusion (mineral) , symmetry (geometry) , physics , spherical shell , circular symmetry , integral equation , classical mechanics , mechanics , optics , mathematical analysis , geometry , materials science , mathematics , composite material , thermodynamics
Abstract The dynamic three‐dimensional problem of interaction between an elastic wave and a thin‐walled elastic inclusion is considered. The incident wave length is comparable to the large linear size of the inclusion. Integral equations of motion are obtained by means of the asymptotic approach proposed. The deflections of a circular plate and a fragment of a spherical shell embedded in the medium are calculated in the case of axial symmetry.