On the numerical solution of the finite-part singular integral equations of the first and the second kind used in fracture mechanics

Ladopoulos, EG

dc.contributor.author	Ladopoulos, EG	en
dc.date.accessioned	2014-03-01T01:39:14Z
dc.date.available	2014-03-01T01:39:14Z
dc.date.issued	1987	en
dc.identifier.issn	00457825	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/22626
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0023599363&partnerID=40&md5=56d2be33f58d96aa3305859403c2b6eb	en
dc.subject.other	MATHEMATICAL TECHNIQUES - Integral Equations	en
dc.subject.other	NUMERICAL SOLUTIONS	en
dc.subject.other	SINGULAR INTEGRAL EQUATIONS	en
dc.subject.other	FRACTURE MECHANICS	en
dc.title	On the numerical solution of the finite-part singular integral equations of the first and the second kind used in fracture mechanics	en
heal.type	journalArticle	en
heal.publicationDate	1987	en
heal.abstract	A new technique is proposed for the numerical evaluation of the finite-part singular integral equations of the first and the second kind with general kernels, which are frequently encountered in problems of applied mechanics and especially in plane and antiplane elasticity. Some new formulas are established in order to solve this type of singular integral equations. It can be said, that these formulas are a generalization of the well known Plemelej formulas. A numerical application is given to the determination of the stress field in the neighbourhood of a crack parallel to the free boundary of an elastic isotropic semiplane. © 1987.	en
heal.journalName	Computer Methods in Applied Mechanics and Engineering	en
dc.identifier.volume	65	en
dc.identifier.issue	3	en
dc.identifier.spage	253	en
dc.identifier.epage	266	en