Point-source elastic scattering by a nested piecewise homogeneous obstacle in an elastic environment

Athanasiadis, CE; Stratis, IG; Sevroglou, V; Tsitsas, NL

dc.contributor.author	Athanasiadis, CE	en
dc.contributor.author	Stratis, IG	en
dc.contributor.author	Sevroglou, V	en
dc.contributor.author	Tsitsas, NL	en
dc.date.accessioned	2014-03-01T01:34:18Z
dc.date.available	2014-03-01T01:34:18Z
dc.date.issued	2010	en
dc.identifier.issn	1081-2865	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20685
dc.subject	General scattering theorem	en
dc.subject	Linear elasticity	en
dc.subject	Mixed scattering relations	en
dc.subject	Nested piecewise homogenous obstacle	en
dc.subject	Optical theorem	en
dc.subject	Point source fields	en
dc.subject	Reciprocity principle	en
dc.subject.classification	Materials Science, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	General scattering theorem	en
dc.subject.other	Linear elasticity	en
dc.subject.other	Optical theorem	en
dc.subject.other	Piece-wise	en
dc.subject.other	Point sources	en
dc.subject.other	Reciprocity principle	en
dc.subject.other	Elasticity	en
dc.subject.other	Theorem proving	en
dc.subject.other	Three dimensional	en
dc.subject.other	Scattering	en
dc.title	Point-source elastic scattering by a nested piecewise homogeneous obstacle in an elastic environment	en
heal.type	journalArticle	en
heal.identifier.primary	10.1177/1081286508102048	en
heal.identifier.secondary	http://dx.doi.org/10.1177/1081286508102048	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	A nested piecewise homogeneous elastic scatterer is embedded in a homogeneous elastic environment. The scattererg's core may be rigid, cavity, Robin, or lossy penetrable. A 2D or 3D incident elastic field, generated by a point-source located in the homogeneous environment, impinges on the scatterer. The scattering problem is formulated in a dyadic form. The main purpose of this paper is to establish scattering relations for the elastic point-source excitation of a nested piecewise homogeneous scatterer. To this direction, we establish reciprocity principles and general scattering theorems relating the scattered fields with the corresponding far-field patterns. Furthermore, for a scatterer excited by a point-source and a plane wave, mixed scattering relations are derived. The optical theorem, relating the scattering cross-section with the field at the point-sourceg's location a is recovered as a corollary of the general scattering theorem. We present a detailed investigation for the 2D case and summarize the results for the 3D case, pointing out the main differences in the analysis. © 2010 Author(s).	en
heal.publisher	SAGE PUBLICATIONS LTD	en
heal.journalName	Mathematics and Mechanics of Solids	en
dc.identifier.doi	10.1177/1081286508102048	en
dc.identifier.isi	ISI:000278872400001	en
dc.identifier.volume	15	en
dc.identifier.issue	4	en
dc.identifier.spage	419	en
dc.identifier.epage	438	en