Radiation conditions for rough surfaces in linear elasticity

Charalambopoulos, A; Gintides, D; Kiriaki, K

dc.contributor.author	Charalambopoulos, A	en
dc.contributor.author	Gintides, D	en
dc.contributor.author	Kiriaki, K	en
dc.date.accessioned	2014-03-01T01:18:16Z
dc.date.available	2014-03-01T01:18:16Z
dc.date.issued	2002	en
dc.identifier.issn	0033-5614	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14908
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mechanics	en
dc.subject.other	Acoustic wave propagation	en
dc.subject.other	Asymptotic stability	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Elastic waves	en
dc.subject.other	Elasticity	en
dc.subject.other	Integral equations	en
dc.subject.other	Radiation effects	en
dc.subject.other	Scattering	en
dc.subject.other	Spectrum analysis	en
dc.subject.other	Stress analysis	en
dc.subject.other	Vectors	en
dc.subject.other	Elastic scattering	en
dc.subject.other	Surface roughness	en
dc.title	Radiation conditions for rough surfaces in linear elasticity	en
heal.type	journalArticle	en
heal.identifier.primary	10.1093/qjmam/55.3.421	en
heal.identifier.secondary	http://dx.doi.org/10.1093/qjmam/55.3.421	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	The elastic scattering problem, as with every exterior boundary-value problem, must be accompanied by suitable radiation conditions, which reflect the asymptotic behaviour of the underlying fields. For bounded scatterers, the well-known Kupradze radiation conditions encode the outgoing character of the elastic waves. For infinite scatterers, the situation changes drastically. The boundary of the problem is now in the neighbourhood of the asymptotic region and Kupradze's conditions are proved inadequate. In this work the radiation conditions for the elastic scattering by stress-free rough surfaces are constructed. The elastic scattered field is expressed through the angular spectrum representation, which contains two vector spectral amplitudes expressing the two propagating waves in elasticity. In a properly selected region, the different types of integrals emerging from the application of Betti's formula are estimated in the asymptotic realm, using the stationary phase method. Finally, the integral representation of the problem, incorporating the aforementioned radiation conditions, is constructed.	en
heal.publisher	OXFORD UNIV PRESS	en
heal.journalName	Quarterly Journal of Mechanics and Applied Mathematics	en
dc.identifier.doi	10.1093/qjmam/55.3.421	en
dc.identifier.isi	ISI:000177446400006	en
dc.identifier.volume	55	en
dc.identifier.issue	3	en
dc.identifier.spage	421	en
dc.identifier.epage	441	en