The general type of finite-part singular integrals and integral equations with logarithmic singularities used in fracture mechanics

Ladopoulos, EG

dc.contributor.author	Ladopoulos, EG	en
dc.date.accessioned	2014-03-01T01:07:17Z
dc.date.available	2014-03-01T01:07:17Z
dc.date.issued	1988	en
dc.identifier.issn	0001-5970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9912
dc.subject.classification	Mechanics	en
dc.subject.other	Mathematical Techniques--Integral Equations	en
dc.subject.other	Solids--Elasticity	en
dc.subject.other	Isotropic Solid	en
dc.subject.other	Quadrature Rules	en
dc.subject.other	Fracture Mechanics	en
dc.title	The general type of finite-part singular integrals and integral equations with logarithmic singularities used in fracture mechanics	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01174641	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01174641	en
heal.language	English	en
heal.publicationDate	1988	en
heal.abstract	A new method is proposed, by using some special quadrature rules, for the numerical evaluation of the general type of finite-part singular integrals and integral equations with logarithmic singularities. In this way the system of such equations can be numerically solved by reduction to a system of linear equations. For this reduction, the singular integral equation is applied to a number of appropriately selected collocation points on the integration interval, and then a numerical integration rule is used for the approximation of the integrals in this equation. An application is given, to the determination of the intensity of the logarithmic singularity in a simple crack inside an infinite, isotropic solid. © 1988 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Acta Mechanica	en
dc.identifier.doi	10.1007/BF01174641	en
dc.identifier.isi	ISI:A1988R743600018	en
dc.identifier.volume	75	en
dc.identifier.issue	1-4	en
dc.identifier.spage	275	en
dc.identifier.epage	285	en