The Far-Field Equations in Linear Elasticity for Disconnected Rigid Bodies and Cavities

Gintides, D; Kiriaki, K

dc.contributor.author	Gintides, D	en
dc.contributor.author	Kiriaki, K	en
dc.date.accessioned	2014-03-01T01:18:25Z
dc.date.available	2014-03-01T01:18:25Z
dc.date.issued	2002	en
dc.identifier.issn	1521-1398	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14994
dc.subject	Far-Field equations	en
dc.subject	Integral equations	en
dc.subject	Linear elasticity	en
dc.subject.classification	Computer Science, Theory & Methods	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	MULTIPLE-SCATTERING	en
dc.title	The Far-Field Equations in Linear Elasticity for Disconnected Rigid Bodies and Cavities	en
heal.type	journalArticle	en
heal.identifier.primary	10.1023/A:1013199408648	en
heal.identifier.secondary	http://dx.doi.org/10.1023/A:1013199408648	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	In this paper the far-field equations in linear elasticity for scattering from disjoint rigid bodies and cavities are considered. The direct scattering problem is formulated in differential and integral form. The boundary integral equations are constructed using a combination of single- and double-layer potentials. Using a Fredholm type theory it is proved that these boundary integral equations are uniquely solvable. Assuming that the incident field is produced by a superposition of plane incident waves in all directions of propagation and polarization it is established that the scattered field is also expressed as the superposition of the corresponding scattered fields. A pair of integral equations of the first kind which hold independently of the boundary conditions are constructed for the far-field region. The properties of the Herglotz functions are used to derive solvability conditions for the far-field equations. It is also proved that the far-field operators, in terms of which we can express the far-field equations, are injective and have dense range. An analytical example for spheres illuminates the theoretical results.	en
heal.publisher	KLUWER ACADEMIC/PLENUM PUBL	en
heal.journalName	Journal of Computational Analysis and Applications	en
dc.identifier.doi	10.1023/A:1013199408648	en
dc.identifier.isi	ISI:000173753600002	en
dc.identifier.volume	4	en
dc.identifier.issue	3	en
dc.identifier.spage	193	en
dc.identifier.epage	209	en