On the location of straight discontinuity intervals of arbitrary sectionally analytic functions by using complex path-independent integrals

Anastasselou, EG; Ioakimidis, NI

dc.contributor.author	Anastasselou, EG	en
dc.contributor.author	Ioakimidis, NI	en
dc.date.accessioned	2014-03-01T01:06:56Z
dc.date.available	2014-03-01T01:06:56Z
dc.date.issued	1987	en
dc.identifier.issn	0045-7825	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9688
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0023453269&partnerID=40&md5=da6b0a609066d5e69ed15552c0e59fe0	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	FLUID DYNAMICS	en
dc.subject.other	MATHEMATICAL TECHNIQUES - Integral Equations	en
dc.subject.other	SOLIDS - Crack Propagation	en
dc.subject.other	ARBITRARY SECTIONALLY ANALYTIC FUNCTIONS	en
dc.subject.other	COMPLEX PATH-INDEPENDENT INTEGRALS	en
dc.subject.other	LEGENDRE POLYNOMIALS	en
dc.subject.other	STRAIGHT DISCONTINUITY INTERVALS	en
dc.subject.other	ELASTICITY	en
dc.title	On the location of straight discontinuity intervals of arbitrary sectionally analytic functions by using complex path-independent integrals	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1987	en
heal.abstract	The classical method of locating zeros and poles of analytic and meromorphic functions in the complex plane via the evaluation of complex path-independent integrals on closed contours surrounding the sought zeros and poles is generalized to become applicable (for the first time) to the location of straight discontinuity intervals of completely general sectionally analytic functions possessing such an interval. Such is the case e.g. in crack problems in plane elasticity or in airfoils in plane fluid dynamics. This generalization makes use of appropriate or arbitrary quadrature rules and, in this way, it leads to a completely numerical method. The method is illustrated in the case of a simple sectionally analytic function, where the classical Chebyshev and Legendre polynomials are used and numerical results are presented. Possible generalizations of the present results are also reported in brief and are strongly expected in future. © 1987.	en
heal.publisher	ELSEVIER SCIENCE SA LAUSANNE	en
heal.journalName	Computer Methods in Applied Mechanics and Engineering	en
dc.identifier.isi	ISI:A1987K822200005	en
dc.identifier.volume	65	en
dc.identifier.issue	2	en
dc.identifier.spage	165	en
dc.identifier.epage	176	en