Derivation of exact expressions for two-dimensional singular and finite-part integrals applicable in solid mechanics

Theotokoglou, EE; Tsamasphyros, G

dc.contributor.author	Theotokoglou, EE	en
dc.contributor.author	Tsamasphyros, G	en
dc.date.accessioned	2014-03-01T01:13:39Z
dc.date.available	2014-03-01T01:13:39Z
dc.date.issued	1998	en
dc.identifier.issn	0955-7997	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12640
dc.subject	Boundary integral equation	en
dc.subject	Elasticity	en
dc.subject	Exact expression	en
dc.subject	Finite-part integral	en
dc.subject	Singular integral	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Elasticity	en
dc.subject.other	Integral equations	en
dc.subject.other	Mechanics	en
dc.subject.other	Solids	en
dc.subject.other	Stress analysis	en
dc.subject.other	Two dimensional	en
dc.subject.other	Boundary integral method	en
dc.subject.other	Finite part integral	en
dc.subject.other	Singular integral	en
dc.subject.other	Boundary element method	en
dc.title	Derivation of exact expressions for two-dimensional singular and finite-part integrals applicable in solid mechanics	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0955-7997(98)00045-9	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0955-7997(98)00045-9	en
heal.language	English	en
heal.publicationDate	1998	en
heal.abstract	The purpose of this paper is to develop exact expressions for the evaluation of singular and finite-part integrals appearing in the stress analysis of elastic solids. A numerical solution is presented for the solution of problems in three dimensional elastostatics. The kernels of the integral equation solution are given in the case where the surfaces of the solid are discretized with flat triangular elements. Exact expressions are derived for the singular and finite-part integrals over a triangular domain. The availability of exact expressions for these integrals will increase the accuracy of the numerical results without the need of any cubature formulae. Finally, the example considered in the paper indicates the excellent approximation obtained by the method even when using only a few classical elements. (C) 1998 Elsevier Science Ltd. All rights reserved.	en
heal.publisher	ELSEVIER SCI LTD	en
heal.journalName	Engineering Analysis with Boundary Elements	en
dc.identifier.doi	10.1016/S0955-7997(98)00045-9	en
dc.identifier.isi	ISI:000076025800005	en
dc.identifier.volume	22	en
dc.identifier.issue	2	en
dc.identifier.spage	125	en
dc.identifier.epage	132	en