Peculiarities of the artificial crack

Theocaris, PS

dc.contributor.author	Theocaris, PS	en
dc.date.accessioned	2014-03-01T01:08:28Z
dc.date.available	2014-03-01T01:08:28Z
dc.date.issued	1991	en
dc.identifier.issn	0013-7944	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10517
dc.subject.classification	Mechanics	en
dc.subject.other	Mathematical Techniques - Conformal Mapping	en
dc.subject.other	Plates - Crack Propagation	en
dc.subject.other	Strain - Analysis	en
dc.subject.other	Stresses - Analysis	en
dc.subject.other	Artificial Cracks	en
dc.subject.other	Mode I Loading	en
dc.subject.other	Stress Concentration Factors	en
dc.subject.other	Stress Field	en
dc.subject.other	Fracture Mechanics	en
dc.title	Peculiarities of the artificial crack	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0013-7944(91)90205-F	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0013-7944(91)90205-F	en
heal.language	English	en
heal.publicationDate	1991	en
heal.abstract	The problem of the artificial crack was studied by assimilating the artificial crack with a rectangular hole with rounded-off corners in a plate under conditions of plane stress and subjected to a mode I loading. Various side-ratios m(a/b) of the rectangle were considered, corresponding to real cracks in applications. Using the Muskhelishvili complex stress function θ{symbol}(z) method, combined with a convenient conformal mapping representation of the rectangular hole, the first stress invariant of the elastic field around the hole was determined, which was sufficient to evaluate the stress and strain distributions along the boundary of the hole, as well as the thickness variation of the plate around this boundary. Using the method of the equivalent or effective order of singularity [P. S. Theocaris and L. Petrou, Int. J. Fracture 31, 271-289 (1986)], virtual points inside the hole were defined at some distances from the rounded-off corners, depending on the curvatures there. The stress concentration factors and the equivalent orders of singularity at the corners yielded the equivalent stress intensity factors [P. S. Theocaris and L. Petrou, Int. J. Fracture 31, 271-289 (1986)]. The method established an exact procedure for the determination of the stress field near the rectangular slit. The theoretical results, corroborated with the experimental evidence using caustics, gave the possibility to establish the differences in the stress fields around the real crack tips and the corners of the artificial slits. Interesting results were derived bearing also on the important problem of blunting of ductile cracks. © 1991.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Engineering Fracture Mechanics	en
dc.identifier.doi	10.1016/0013-7944(91)90205-F	en
dc.identifier.isi	ISI:A1991FB04400005	en
dc.identifier.volume	38	en
dc.identifier.issue	1	en
dc.identifier.spage	37	en
dc.identifier.epage	54	en