Analysis of accuracy of Williams series approximation of stress field in cracked body – influence of area of interest around crack-tip on multi-parameter regression performance

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dc.contributor.authorSobek, Jakubcs
dc.contributor.authorFrantík, Petrcs
dc.contributor.authorVeselý, Václavcs
dc.coverage.issue39cs
dc.coverage.volume11cs
dc.date.issued2017-01-01cs
dc.description.abstractA study on the accuracy of an approximation of the stress field in a cracked body is presented. Crack-tip stress tensor is expressed using the linear elastic fracture mechanics (LEFM) theory in this work, more precisely via its multi-parameter formulation, i.e. by Williams power series (WPS). Determination of coefficients of terms of this series is performed using a least squares-based regression technique known as over-deterministic method (ODM) for which results from finite element (FE) method computation are usually taken as inputs. Main attention is paid to a detailed analysis of a suitable selection of FE nodes whose results serve as the inputs to the employed method. Two different ways of FE nodal selection are compared – nodes selected from the crack tip vicinity lying at a ring of a certain radius versus nodes selected more or less uniformly from a specified part of the test specimen body. Comparison of these approaches is made with the help of procedures developed by the authors which enable both the determination of the coefficients of terms of the analytical WPS approximation of the stress field based on the FE results and the backward reconstruction of the field (again using WPS) from those determined terms’ coefficients/functions. The wedge-splitting test (WST) specimen with a crack is taken as example for the studyen
dc.formattextcs
dc.format.extent129-142cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationFrattura ed Integrita Strutturale. 2017, vol. 11, issue 39, p. 129-142.en
dc.identifier.doi10.3221/IGF-ESIS.39.14cs
dc.identifier.issn1971-8993cs
dc.identifier.orcid0000-0003-4215-1029cs
dc.identifier.orcid0000-0002-5629-0225cs
dc.identifier.other131289cs
dc.identifier.researcheridAAD-9489-2019cs
dc.identifier.scopus32067659800cs
dc.identifier.urihttp://hdl.handle.net/11012/180652
dc.language.isoencs
dc.publisherGruppo Italiano Fratturacs
dc.relation.ispartofFrattura ed Integrita Strutturalecs
dc.relation.urihttp://www.gruppofrattura.it/pdf/rivista/numero39/numero_39_art_14.pdfcs
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.subjectMulti-parameter fracture mechanicsen
dc.subjectWilliams power seriesen
dc.subjectCrack-tip fieldsen
dc.subjectOver-deterministic methoden
dc.subjectHigher order termsen
dc.titleAnalysis of accuracy of Williams series approximation of stress field in cracked body – influence of area of interest around crack-tip on multi-parameter regression performanceen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-131289en
sync.item.dbtypeVAVen
sync.item.insts2025.02.03 15:45:20en
sync.item.modts2025.01.17 20:33:05en
thesis.grantorVysoké učení technické v Brně. Fakulta stavební. Ústav stavební mechanikycs
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