Microcrack interaction with circular inclusion and interfacial zone

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dc.contributor.authorProfant, Tomášcs
dc.contributor.authorHrstka, Miroslavcs
dc.contributor.authorKlusák, Jancs
dc.coverage.issue48cs
dc.coverage.volume13cs
dc.date.issued2019-01-04cs
dc.description.abstractA geometrically simplified plane elasticity problem of a finitesmall crack emanating from a thin interfacial zone surrounding the circularinclusion situated in the finite bounded domain is investigated. The crack isarbitrarily oriented and modelled using the distribution dislocation technique.This model represents the inner solution of the studied problem. Thecorresponding fundamental solution is based on the application ofMuskhelishvili complex potentials in the form of the Laurent series. Thecoefficients of the series are evaluated from the compatibility conditionsalong the interfaces of the inclusion, the interfacial zone and the enclosingmatrix. The fundamental solution is also used in the solution of the boundaryintegral method approximating the stress and strain relations of the so-calledouter solution. The asymptotic analysis at the point of the crack initiationcombines the inner and the outer solution and results in the evaluation of thestress intensity factors of the crack tip, which lies in the matrix. Thetopological derivative is subsequently used to approximate the energy releaserate field associated with the perturbing crack in the matrix. The extremevalues of the energy release rate allow one to assess the crack path directionof the initiated microcrack.en
dc.formattextcs
dc.format.extent503-512cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationFrattura ed Integrita Strutturale. 2019, vol. 13, issue 48, p. 503-512.en
dc.identifier.doi10.3221/IGF-ESIS.48.48cs
dc.identifier.issn1971-8993cs
dc.identifier.orcid0000-0002-2275-7309cs
dc.identifier.orcid0000-0002-3169-3159cs
dc.identifier.other155985cs
dc.identifier.researcheridAAM-3643-2020cs
dc.identifier.researcheridR-9211-2016cs
dc.identifier.scopus10438966500cs
dc.identifier.urihttp://hdl.handle.net/11012/180641
dc.language.isoencs
dc.publisherGruppo Italiano Fratturacs
dc.relation.ispartofFrattura ed Integrita Strutturalecs
dc.relation.urihttps://www.fracturae.com/index.php/fis/article/view/2297/2443cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1971-8993/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectCrack path assessmenten
dc.subjectComplex potentialsen
dc.subjectInterfacial zoneen
dc.subjectCircular inclusionen
dc.subjectFundamental solutionen
dc.subjectTopological derivativeen
dc.titleMicrocrack interaction with circular inclusion and interfacial zoneen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-155985en
sync.item.dbtypeVAVen
sync.item.insts2025.02.03 15:49:11en
sync.item.modts2025.01.17 16:41:11en
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav mechaniky těles, mechatroniky a biomechanikycs
thesis.grantorVysoké učení technické v Brně. Středoevropský technologický institut VUT. Pokročilé kovové materiály a kompozity na bázi kovůcs
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Ústav mechaniky těles, mechatroniky a biomechaniky
Pokročilé kovové materiály a kompozity na bázi kovů