On the numerical evaluation of the general type of finite-part singular integrals and integral equations used in fracture mechanics

Ladopoulos, EG

dc.contributor.author	Ladopoulos, EG	en
dc.date.accessioned	2014-03-01T01:07:13Z
dc.date.available	2014-03-01T01:07:13Z
dc.date.issued	1988	en
dc.identifier.issn	0013-7944	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9860
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-38249030143&partnerID=40&md5=eb512f3d48aebfb6e011655d5568a7bb	en
dc.subject.classification	Mechanics	en
dc.title	On the numerical evaluation of the general type of finite-part singular integrals and integral equations used in fracture mechanics	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1988	en
heal.abstract	A new method is established for the numerical solution of the general type of the finite-part integrals and integral equations of the first and second kind, which are frequently encountered in problems of applied mechanics and especially in plane and antiplane elasticity. Many numerical integration rules are properly combined in order to handle numerically finite-part integral equations along the integration interval [-1, 1] and for a large variety of weight functions. In order to solve this type of singular integral equations, we introduce some new formulae, which are the general type of the Plemelej formulae. In this way such an equation may be numerically solved by reduction to a system of linear equations. Finally, two applications to fracture mechanics are given. © 1988.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Engineering Fracture Mechanics	en
dc.identifier.isi	ISI:A1988Q583800012	en
dc.identifier.volume	31	en
dc.identifier.issue	2	en
dc.identifier.spage	315	en
dc.identifier.epage	337	en