On the numerical solution of Cauchy type singular integral equations and the determination of stress intensity factors in case of complex singularities

Theocaris, PS; Ioakimidis, NI

dc.contributor.author	Theocaris, PS	en
dc.contributor.author	Ioakimidis, NI	en
dc.date.accessioned	2014-03-01T01:05:38Z
dc.date.available	2014-03-01T01:05:38Z
dc.date.issued	1977	en
dc.identifier.issn	00442275	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/8913
dc.subject	jacobi polynomial	en
dc.subject	Linear Equations	en
dc.subject	Numerical Integration	en
dc.subject	Numerical Solution	en
dc.subject	Singular Integral Equation	en
dc.subject	Stress Intensity Factor	en
dc.subject	Weight Function	en
dc.title	On the numerical solution of Cauchy type singular integral equations and the determination of stress intensity factors in case of complex singularities	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01601675	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01601675	en
heal.publicationDate	1977	en
heal.abstract	A Cauchy type singular integral equation along a finite real interval and with a weight function with complex singularities at the end-points of the integration interval can be numerically solved by reduction to a system of linear equations, by using an appropriate numerical integration rule associated with the Jacobi polynomials, in exactly the same way used for the case of real singularities. For the numerical solution of such an equation arising in plane elasticity crack problems and the evaluation of stress intensity factors at crack tips, the Lobatto-Jacobi numerical integration rule is the most appropriate. © 1977 Birkhäuser Verlag.	en
heal.publisher	Birkhäuser-Verlag	en
heal.journalName	Zeitschrift für angewandte Mathematik und Physik ZAMP	en
dc.identifier.doi	10.1007/BF01601675	en
dc.identifier.volume	28	en
dc.identifier.issue	6	en
dc.identifier.spage	1085	en
dc.identifier.epage	1098	en