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

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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


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