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Article: Accurate determination of mode I and II leading coefficients of the Williams expansion by finite element analysis

TitleAccurate determination of mode I and II leading coefficients of the Williams expansion by finite element analysis
Authors
KeywordsFractal finite element
Higher-degree coefficients
Stress intensity factor
T-stress
Williams expansion
Issue Date2005
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/finel
Citation
Finite Elements In Analysis And Design, 2005, v. 41 n. 11-12, p. 1175-1186 How to Cite?
AbstractLeading coefficients of the Williams expansion are evaluated by using the fractal finite-element method (FFEM). By means of the self-similarity principle, an infinite number of elements is generated at the vicinity of the crack tip to model the crack tip singularity. The Williams expansion series with higher-degree coefficients is used to capture the singular and non-singular stress behaviour around the crack tip and to condense the large amount of nodal displacements at the crack tip to a small set of unknown coefficients. New sets of coefficients up to the sixth degree for mode I and fourth degree for mode II problems are solved. The important fracture parameters such as stress intensity factors and T-stress can be obtained directly from the coefficients without employing any path independent integrals. Convergence study reveals that the present method is simple and very coarse finite element meshes with 12 leading terms in the William expansion can yield very accurate solutions. The effects of the influence of crack length on the higher-degree coefficients of some common plane crack problems are studied in detail. © 2005 Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/48545
ISSN
2015 Impact Factor: 2.175
2015 SCImago Journal Rankings: 1.278
ISI Accession Number ID
References
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DC FieldValueLanguage
dc.contributor.authorSu, RKLen_HK
dc.contributor.authorFeng, WJen_HK
dc.date.accessioned2008-05-22T04:16:45Z-
dc.date.available2008-05-22T04:16:45Z-
dc.date.issued2005en_HK
dc.identifier.citationFinite Elements In Analysis And Design, 2005, v. 41 n. 11-12, p. 1175-1186en_HK
dc.identifier.issn0168-874Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/48545-
dc.description.abstractLeading coefficients of the Williams expansion are evaluated by using the fractal finite-element method (FFEM). By means of the self-similarity principle, an infinite number of elements is generated at the vicinity of the crack tip to model the crack tip singularity. The Williams expansion series with higher-degree coefficients is used to capture the singular and non-singular stress behaviour around the crack tip and to condense the large amount of nodal displacements at the crack tip to a small set of unknown coefficients. New sets of coefficients up to the sixth degree for mode I and fourth degree for mode II problems are solved. The important fracture parameters such as stress intensity factors and T-stress can be obtained directly from the coefficients without employing any path independent integrals. Convergence study reveals that the present method is simple and very coarse finite element meshes with 12 leading terms in the William expansion can yield very accurate solutions. The effects of the influence of crack length on the higher-degree coefficients of some common plane crack problems are studied in detail. © 2005 Elsevier B.V. All rights reserved.en_HK
dc.format.extent226149 bytes-
dc.format.extent40905 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypeapplication/pdf-
dc.languageengen_HK
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/finelen_HK
dc.relation.ispartofFinite Elements in Analysis and Designen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsFinite Elements in Analysis and Design. Copyright © Elsevier BV.en_HK
dc.subjectFractal finite elementen_HK
dc.subjectHigher-degree coefficientsen_HK
dc.subjectStress intensity factoren_HK
dc.subjectT-stressen_HK
dc.subjectWilliams expansionen_HK
dc.titleAccurate determination of mode I and II leading coefficients of the Williams expansion by finite element analysisen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0168-874X&volume=41&issue=11-12&spage=1175&epage=1186&date=2005&atitle=Accurate+determination+of+mode+I+and+mode+II+leading+coefficients+of+the+williams+expansion+by+finite+element+analysisen_HK
dc.identifier.emailSu, RKL:klsu@hkucc.hku.hken_HK
dc.identifier.authoritySu, RKL=rp00072en_HK
dc.description.naturepostprinten_HK
dc.identifier.doi10.1016/j.finel.2004.11.006en_HK
dc.identifier.scopuseid_2-s2.0-18844416619en_HK
dc.identifier.hkuros98336-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-18844416619&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume41en_HK
dc.identifier.issue11-12en_HK
dc.identifier.spage1175en_HK
dc.identifier.epage1186en_HK
dc.identifier.isiWOS:000229705400010-
dc.publisher.placeNetherlandsen_HK
dc.relation.projectInteraction of multiple branched cracks-
dc.identifier.scopusauthoridSu, RKL=7102627096en_HK
dc.identifier.scopusauthoridFeng, WJ=12752270200en_HK

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