On the solution of the sector problem

Tsamasphyros, G; Theocaris, PS

dc.contributor.author	Tsamasphyros, G	en
dc.contributor.author	Theocaris, PS	en
dc.date.accessioned	2014-03-01T01:05:47Z
dc.date.available	2014-03-01T01:05:47Z
dc.date.issued	1979	en
dc.identifier.issn	03743535	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/8983
dc.subject	Asymptotic Expansion	en
dc.subject	Boundary Condition	en
dc.subject	Functional Dependency	en
dc.subject	Infinite Series	en
dc.subject	mellin transform	en
dc.subject.other	ELASTICITY	en
dc.subject.other	STRESSES	en
dc.title	On the solution of the sector problem	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00041099	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00041099	en
heal.publicationDate	1979	en
heal.abstract	A rigorous study of the sector problem is presented by using the Mellin transform technique. The stress function is obtained as an asymptotic expansion of the complex inversion integral. The number of terms of this expansion, as well as the differentiability of the stress function, depend on the differential properties of boundary conditions on the radial edges. If these boundary conditions belong to C∞, this asymptotic expansion is transformed to a uniformly convergent infinite series. The coefficients of the series, which depend only on the boundary conditions along the circumferential edges, are calculated by applying a bi-orthogonality condition, or, by a technique based on the Betti formula. © 1979 Sijthoff & Noordhoff International Publishers.	en
heal.publisher	Kluwer Academic Publishers	en
heal.journalName	Journal of Elasticity	en
dc.identifier.doi	10.1007/BF00041099	en
dc.identifier.volume	9	en
dc.identifier.issue	3	en
dc.identifier.spage	271	en
dc.identifier.epage	281	en