Modified trapezoidal quadratures and accurate potential evaluation for numerical solutions of S.I.E's on the unit circle

Theotokoglou, EN

dc.contributor.author	Theotokoglou, EN	en
dc.date.accessioned	2014-03-01T01:07:12Z
dc.date.available	2014-03-01T01:07:12Z
dc.date.issued	1988	en
dc.identifier.issn	00295981	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9851
dc.subject	Numerical Solution	en
dc.subject.other	Elasticity	en
dc.subject.other	Plates	en
dc.subject.other	Dislocation Density Function	en
dc.subject.other	Trapezoidal Quadratures	en
dc.subject.other	Mathematical Techniques	en
dc.title	Modified trapezoidal quadratures and accurate potential evaluation for numerical solutions of S.I.E's on the unit circle	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/nme.1620260914	en
heal.identifier.secondary	http://dx.doi.org/10.1002/nme.1620260914	en
heal.publicationDate	1988	en
heal.abstract	Plane elasticity problems that can be reduced to singular integral equations (S.I.E) over the unit circle are considered, the method of using a dislocation density function ω(ο) is adopted. First, the trapezoidal approximation is modified for the evaluation of the contour integral ∮y[ω(ο)/(ο-z)] dο at the complex field point z; extra correction terms for known singularities of ω(z) can easily be determined from the error expression. Based on the quadratures obtained, expressions for the accurate evaluation of the potentials are derived using their analyticity properties. The numerical techniques proposed are used for the solution of the problem of an infinite plate weakened by a circular hole and subjected to a dislocation.	en
heal.journalName	International Journal for Numerical Methods in Engineering	en
dc.identifier.doi	10.1002/nme.1620260914	en
dc.identifier.volume	25	en
dc.identifier.issue	9	en
dc.identifier.spage	2115	en
dc.identifier.epage	2128	en