A modified green's-function technique for the exterior dirichlet problem in linear elasticity

Argyropoulos, E; Kiriaki, K; Roach, GF

dc.contributor.author	Argyropoulos, E	en
dc.contributor.author	Kiriaki, K	en
dc.contributor.author	Roach, GF	en
dc.date.accessioned	2014-03-01T01:13:31Z
dc.date.available	2014-03-01T01:13:31Z
dc.date.issued	1998	en
dc.identifier.issn	0033-5614	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12538
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0542402424&partnerID=40&md5=dadbbf0cfea34afb46aed8ab076e096b	en
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0032071652&partnerID=40&md5=11652343ba9dbe1b90c9d3648e185e0e	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Green's function	en
dc.subject.other	Integral equations	en
dc.subject.other	Numerical analysis	en
dc.subject.other	Optimization	en
dc.subject.other	Problem solving	en
dc.subject.other	Spheres	en
dc.subject.other	Boundary integral equation	en
dc.subject.other	Dirichlet problem	en
dc.subject.other	Linear elasticity	en
dc.subject.other	Elasticity	en
dc.title	A modified green's-function technique for the exterior dirichlet problem in linear elasticity	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1998	en
heal.abstract	In this work the modified Green's-function technique for the exterior Dirichlet problem in linear elasticity is examined. We introduce a modification of the fundamental solution in order to remove the lack of uniqueness of solution of the boundary integral equation describing the problem. We establish the conditions that the coefficients of the modification must hold in order to overcome the non-uniqueness problem. We prove that if we know the multiplicity of the interior Neumann eigenvalues then we need only a finite number of non-zero coefficients in the representation of the modification. We also consider the question of choosing the coefficients in the modification, so as to satisfy a criterion of optimization, and we present detailed results for the special case of a sphere.	en
heal.publisher	Oxford Univ Press, Oxford, United Kingdom	en
heal.journalName	Quarterly Journal of Mechanics and Applied Mathematics	en
dc.identifier.isi	ISI:000074279300006	en
dc.identifier.volume	51	en
dc.identifier.issue	2	en
dc.identifier.spage	X6	en
dc.identifier.epage	295	en