A Critical Review on the Complex Potentials in Linear Elastic Fracture Mechanics

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dc.date.accessioned2022-04-19T09:48:06Z
dc.date.available2022-04-19T09:48:06Z
dc.date.issued2022-01-03
dc.description.sponsorshipGefördert im Rahmen des Projekts DEALger
dc.identifierdoi:10.17170/kobra-202201255611
dc.identifier.urihttp://hdl.handle.net/123456789/13761
dc.language.isoengeng
dc.relation.doidoi:10.1007/s10659-021-09873-1
dc.rightsNamensnennung 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectcomplex potentialseng
dc.subjectWestergaard stress functioneng
dc.subjectGriffith crackeng
dc.subjectKolosov´s equationseng
dc.subjectcrack fieldseng
dc.subject.ddc660
dc.subject.ddc510
dc.subject.ddc530
dc.subject.swdRissbildungger
dc.subject.swdBruchmechanikger
dc.subject.swdGleichungger
dc.subject.swdMathematisches Modellger
dc.titleA Critical Review on the Complex Potentials in Linear Elastic Fracture Mechanicseng
dc.typeAufsatz
dc.type.versionpublishedVersion
dcterms.abstractIntroducing a crack in an elastic plate is challenging from the mathematical point of view and relevant within an engineering context of evaluating strength and reliability of structures. Accordingly, a multitude of associated works is available to date, emanating from both applied mathematics and mechanics communities. Although considering the same problem, the given complex potentials prove to be different, revealing various inconsistencies in terms of resulting stresses and displacements. Essential information on crack near-tip fields and crack opening displacements is nonetheless available, while intuitive adaption is required to obtain the full-field solutions. Investigating the cause of prevailing deficiencies inevitably leads to a critical review of classical works by Muskhelishvili or Westergaard. Complex potentials of the mixed-mode loaded Griffith crack, sparing restrictive assumptions or limitations of validity, are finally provided, allowing for rigorous mathematical treatment. The entity of stresses and displacements in the whole plate is finally illustrated and the distributions in the crack plane are given explicitly.eng
dcterms.accessRightsopen access
dcterms.creatorScheel, Johannes
dcterms.creatorWallenta, Daniel
dcterms.creatorRicoeur, Andreas
dcterms.source.identifiereissn:1573-2681
dcterms.source.issueIssue 1-2
dcterms.source.journalJournal of Elasticityeng
dcterms.source.pageinfo291-308
dcterms.source.volumeVolume 147
kup.iskupfalse

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