The low-frequency scattering theory for a penetrable scatterer with an impenetrable core in an elastic medium

Kiriaki, K; Polyzos, D

dc.contributor.author	Kiriaki, K	en
dc.contributor.author	Polyzos, D	en
dc.date.accessioned	2014-03-01T01:07:18Z
dc.date.available	2014-03-01T01:07:18Z
dc.date.issued	1988	en
dc.identifier.issn	0020-7225	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9919
dc.subject	Scattering Theory	en
dc.subject	Low Frequency	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.title	The low-frequency scattering theory for a penetrable scatterer with an impenetrable core in an elastic medium	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0020-7225(88)90121-8	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0020-7225(88)90121-8	en
heal.language	English	en
heal.publicationDate	1988	en
heal.abstract	We consider an incident time harmonic longitudinal or transverse plane wave which propagates in an infinite isotropic and homogeneous elastic medium and it is scattered by a penetrable body containing an impenetrable core. Integral representations for the total displacement field as well as the normalized scattering amplitudes are provided. A systematic procedure for finding the low-frequency expansions for the displacement field, the scattering amplitudes and the scattering cross section is developed. As a result the scattering problem is reduced to a sequence of elastostatic problems which can be solved using the Papkovich-Grodski-Neuber potentials. The leading low-frequency terms of the scattering amplitudes and the cross section are evaluated. The proposed procedure is applied to the scattering of a plane elastic wave by a penetrable spherical scatterer with a concentric spherical rigid inclusion. Particular values of the physical parameters correspond to special scattering problems and they are included as such. © 1988.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Engineering Science	en
dc.identifier.doi	10.1016/0020-7225(88)90121-8	en
dc.identifier.isi	ISI:A1988Q937200002	en
dc.identifier.volume	26	en
dc.identifier.issue	11	en
dc.identifier.spage	1143	en
dc.identifier.epage	1160	en