The order of singularities and the stress intensity factors near corners of regular polygonal holes

Theocaris, PS; Petrou, L

dc.contributor.author	Theocaris, PS	en
dc.contributor.author	Petrou, L	en
dc.date.accessioned	2014-03-01T01:07:00Z
dc.date.available	2014-03-01T01:07:00Z
dc.date.issued	1987	en
dc.identifier.issn	0020-7225	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9740
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-45949124484&partnerID=40&md5=9b4e14d5a0d0fd0e984c199f2d4bbb85	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.title	The order of singularities and the stress intensity factors near corners of regular polygonal holes	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1987	en
heal.abstract	A new method was developed for the calculation of the order of singularity (SO) and the respective stress intensity factor (SIF) near corners of regular polygonal holes perforated in elastic plates submitted to an overall tension at infinity. For the solution of the problem the Muskhelishvili potential function θ{symbol}(z) was determined for an infinite plate weakened by a respective regular polygonal hole with rounded-off corners under tension. For each rounded off corner a virtual singular point was defined inside the hole along the bisector of the angle of the apex and at a distance depending on the radius of curvature of the corner. Then, the stress concentration factors (SCF) at the apices of these rounded-off corners were evaluated when their respective radii of curvature tended to zero. The corresponding stress-singularity and the SIF were afterwards derived, by correlating the SCF and the distance of the virtual singular point for each corner. By conveniently selecting the number of terms of the series development of θ{symbol}(z) the method can approach the real values for SO and SIF to any desired degree of accuracy. A comparison of the stress field around and near a corner of a polygonal hole in an infinite plate when this corner is submitted to mode-I deformation and a V-notch in an infinite plate under tension indicated the similarities between the two affine problems. © 1987.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Engineering Science	en
dc.identifier.isi	ISI:A1987J482100006	en
dc.identifier.volume	25	en
dc.identifier.issue	7	en
dc.identifier.spage	821	en
dc.identifier.epage	832	en