The J-integral for mixed-mode loaded cracks with cohesive zones

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dc.date.accessioned2021-02-16T15:02:50Z
dc.date.available2021-02-16T15:02:50Z
dc.date.issued2020-11-23
dc.description.sponsorshipGefördert im Rahmen des Projekts DEALger
dc.identifierdoi:10.17170/kobra-202102113184
dc.identifier.urihttp://hdl.handle.net/123456789/12516
dc.language.isoengeng
dc.relation.doidoi:10.1007/s10704-020-00496-6
dc.rightsNamensnennung 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectJ-Integraleng
dc.subjectcrack tip opening displacementeng
dc.subjectcohesive zoneseng
dc.subjectGriffith crackeng
dc.subjectDugdale crackeng
dc.subjectcohesive potentialeng
dc.subject.ddc620
dc.subject.swdJot Integralger
dc.subject.swdRissspitzeger
dc.subject.swdBruchmechanikger
dc.subject.swdDugdale-Rissger
dc.subject.swdRissbildungger
dc.titleThe J-integral for mixed-mode loaded cracks with cohesive zoneseng
dc.typeAufsatz
dc.type.versionpublishedVersion
dcterms.abstractThe J-integral quantifies the loading of a crack tip, just as the crack tip opening displacement (CTOD) emanating from the cohesive zone model. Both quantities, being based on fundamentally different interpretations of cracks in fracture mechanics of brittle or ductile materials, have been proven to be equivalent in the late 60s of the previous century, however, just for the simple mode-I loading case. The relation of J and CTOD turned out to be uniquely determined by the constitutive law of the cohesive zone in front of the physical crack tip. In this paper, a J-integral vector is derived for a mixed-mode loaded crack based on the cohesive zone approach, accounting for the most general case of a mode-coupled cohesive law. While the J1-coordinate, as energy release rate of a straight crack extension, is uniquely related to the cohesive potential at the physical crack tip and thus to the CTOD, the J2-coordinate depends on the solution of the specific boundary value problem in terms of stresses and displacement gradients at the cohesive zone faces. The generalized relation is verified for the Griffith crack, employing solutions of the Dugdale crack based on improved holomorphic functions.eng
dcterms.accessRightsopen access
dcterms.creatorScheel, Johannes
dcterms.creatorSchlosser, Alexander
dcterms.creatorRicoeur, Andreas
dcterms.source.identifierEISSN 1573-2673
dcterms.source.issueIssue 1
dcterms.source.journalInternational Journal of Fractureeng
dcterms.source.pageinfo79-94
dcterms.source.volumeVolume 227
kup.iskupfalse

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