Stress intensity factors for the Brazilian disc with a short central crack: Opening versus closing cracks

Markides, C; Pazis, DN; Kourkoulis, SK

dc.contributor.author	Markides, C	en
dc.contributor.author	Pazis, DN	en
dc.contributor.author	Kourkoulis, SK	en
dc.date.accessioned	2014-03-01T01:37:08Z
dc.date.available	2014-03-01T01:37:08Z
dc.date.issued	2011	en
dc.identifier.issn	0307-904X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21460
dc.subject	Closing cracks	en
dc.subject	Complex potentials	en
dc.subject	Cracked Brazilian disc	en
dc.subject	Linear elasticity	en
dc.subject	Overlapping	en
dc.subject	Stress intensity factors (SIFs)	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Closing crack	en
dc.subject.other	Complex potentials	en
dc.subject.other	Cracked Brazilian disc	en
dc.subject.other	Linear elasticity	en
dc.subject.other	Overlapping	en
dc.subject.other	Elasticity	en
dc.subject.other	Stress intensity factors	en
dc.subject.other	Cracks	en
dc.title	Stress intensity factors for the Brazilian disc with a short central crack: Opening versus closing cracks	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.apm.2011.05.013	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.apm.2011.05.013	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	Closed form expressions are obtained for the stress intensity factors (SIFs) in case of a Brazilian disc with a short central crack, the length of which does not exceed one fifth of the disc radius. The disc is loaded by uniform radial pressure along two finite symmetric arcs of its periphery. The solution is achieved using the method of complex potentials introduced by Kolosov and Muskhelishvili. The advantage of the expressions obtained is that they are valid both for cracks under opening mode as well as for closing cracks. For the first case (opening cracks) the results of the present study are compared with existing approximate solutions and it is concluded that the agreement is excellent as long as the length of the crack remains relatively small compared to the radius of the disc. Regarding the case of a closing mode crack the procedure proposed here (based on a recent alternative approach of the cracked Brazilian disc) leads to a physically acceptable deformed crack shape instead to an unnatural crack with overlapped lips. At the same moment the dependence of the SIFs on the properties of the material is eliminated. (C) 2011 Elsevier Inc. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE INC	en
heal.journalName	Applied Mathematical Modelling	en
dc.identifier.doi	10.1016/j.apm.2011.05.013	en
dc.identifier.isi	ISI:000294040600013	en
dc.identifier.volume	35	en
dc.identifier.issue	12	en
dc.identifier.spage	5636	en
dc.identifier.epage	5651	en