The problem of the infinite wedge

Theocaris, PS; Tsamasfyros, G; Andrianopoulos, N

dc.contributor.author	Theocaris, PS	en
dc.contributor.author	Tsamasfyros, G	en
dc.contributor.author	Andrianopoulos, N	en
dc.date.accessioned	2014-03-01T01:05:45Z
dc.date.available	2014-03-01T01:05:45Z
dc.date.issued	1979	en
dc.identifier.issn	0001-5970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/8959
dc.subject	Asymptotic Expansion	en
dc.subject	laguerre polynomial	en
dc.subject	Numerical Method	en
dc.subject	Rate of Convergence	en
dc.subject	Regularity Condition	en
dc.subject	Stress Distribution	en
dc.subject.classification	Mechanics	en
dc.subject.other	MECHANICS	en
dc.title	The problem of the infinite wedge	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01176258	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01176258	en
heal.language	English	en
heal.publicationDate	1979	en
heal.abstract	The objective of this paper is to systematize known results related to the problem of plane infinite wedge and to clarify obscurities and misunderstandings occurring during the various forms of solutions of this classical problem. For this purpose the problem was formulated as a well posed one by imposing the appropriate regularity conditions. Then, the existence and rate of convergence of the involved complex inversion integral was established, as well as the differentiability of the solution. Thus, an asymptotic expansion of the solution was given and a particular application was made for the special case of a half plane. Moreover, another numerical method which is based on Laguerre polynomials, was introduced and as an application the stress distribution at the interior of the wedge for certain values of the wedge angle 2α were calculated and checked for the case of a uniformly loaded wedge. © 1979 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Acta Mechanica	en
dc.identifier.doi	10.1007/BF01176258	en
dc.identifier.isi	ISI:A1979HZ60700004	en
dc.identifier.volume	34	en
dc.identifier.issue	1-2	en
dc.identifier.spage	63	en
dc.identifier.epage	87	en