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Article: Determination of coefficients of the crack tip asymptotic field by fractal hybrid finite elements

TitleDetermination of coefficients of the crack tip asymptotic field by fractal hybrid finite elements
Authors
KeywordsCrack tip asymptotic field
Fractal finite element method
Higher-order coefficients
Hybrid element
Reduced integration
Issue Date2007
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/engfracmech
Citation
Engineering Fracture Mechanics, 2007, v. 74 n. 10, p. 1649-1664 How to Cite?
AbstractThis paper applies the fractal finite element method (FFEM) together with 9-node Lagrangian hybrid elements to the calculation of linear elastic crack tip fields. An explicit stabilization scheme is employed to suppress the spurious kinematic modes of the sub-integrated Lagrangian element. An extensive convergence study has been conducted to examine the effects of the similarity ratio, reduced integration and the type of elements on the accuracy and stability of the numerical solutions. It is concluded that (i) a similarity ratio close to unity should be used to construct the fractal mesh, (ii) sub-integrated Lagrangian elements with occasionally unstable behaviour should not be used, and (iii) the good accuracy (with differences less than 0.5% with existing available solutions) and stability over a wide range of numerical tests support the use of fractal hybrid finite elements for determining crack tip asymptotic fields. © 2006 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/71014
ISSN
2015 Impact Factor: 2.024
2015 SCImago Journal Rankings: 1.423
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorSu, RKLen_HK
dc.contributor.authorFok, SLen_HK
dc.date.accessioned2010-09-06T06:28:08Z-
dc.date.available2010-09-06T06:28:08Z-
dc.date.issued2007en_HK
dc.identifier.citationEngineering Fracture Mechanics, 2007, v. 74 n. 10, p. 1649-1664en_HK
dc.identifier.issn0013-7944en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71014-
dc.description.abstractThis paper applies the fractal finite element method (FFEM) together with 9-node Lagrangian hybrid elements to the calculation of linear elastic crack tip fields. An explicit stabilization scheme is employed to suppress the spurious kinematic modes of the sub-integrated Lagrangian element. An extensive convergence study has been conducted to examine the effects of the similarity ratio, reduced integration and the type of elements on the accuracy and stability of the numerical solutions. It is concluded that (i) a similarity ratio close to unity should be used to construct the fractal mesh, (ii) sub-integrated Lagrangian elements with occasionally unstable behaviour should not be used, and (iii) the good accuracy (with differences less than 0.5% with existing available solutions) and stability over a wide range of numerical tests support the use of fractal hybrid finite elements for determining crack tip asymptotic fields. © 2006 Elsevier Ltd. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/engfracmechen_HK
dc.relation.ispartofEngineering Fracture Mechanicsen_HK
dc.subjectCrack tip asymptotic fielden_HK
dc.subjectFractal finite element methoden_HK
dc.subjectHigher-order coefficientsen_HK
dc.subjectHybrid elementen_HK
dc.subjectReduced integrationen_HK
dc.titleDetermination of coefficients of the crack tip asymptotic field by fractal hybrid finite elementsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0013-7944&volume=74&issue=10&spage=1649&epage=1994&date=2007&atitle=Determination+of+coefficients+of+the+crack+tip+asymptotic+field+by+fractal+hybrid+finite+elementsen_HK
dc.identifier.emailSu, RKL:klsu@hkucc.hku.hken_HK
dc.identifier.authoritySu, RKL=rp00072en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.engfracmech.2006.09.009en_HK
dc.identifier.scopuseid_2-s2.0-33847724629en_HK
dc.identifier.hkuros126268en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33847724629&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume74en_HK
dc.identifier.issue10en_HK
dc.identifier.spage1649en_HK
dc.identifier.epage1664en_HK
dc.identifier.isiWOS:000246856400007-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridSu, RKL=7102627096en_HK
dc.identifier.scopusauthoridFok, SL=7005182786en_HK

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