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Article: Transition finite element families for adaptive analysis of axisymmetric elasticity problems

TitleTransition finite element families for adaptive analysis of axisymmetric elasticity problems
Authors
KeywordsAdaptive analysis
Axisymmetric
EAS
Hybrid-stress
Transition element
Issue Date2011
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/finel
Citation
Finite Elements In Analysis And Design, 2011, v. 47 n. 4, p. 360-372 How to Cite?
AbstractIn this paper, four transition element families that comprise five- to seven-node quadrilateral elements are developed based on the hybrid-stress and enhanced assumed strain (EAS) formulations for adaptive analyses of axisymmetric elasticity problems. For members in the first hybrid-stress family, a quasi-linear stress field with ten equilibrating stress modes is derived and employed. To study the effect of including more stress modes in the assumed stress field, another family with two additional stress modes is implemented. On the other hand, two EAS element families are constructed with respect to the incompatible displacement modes of two existing incompatible displacement transition element families. Several numerical examples are exercised. It can be seen that the first hybrid-stress family is the most accurate one among the proposed families. Moreover, the EAS families are close to the respective incompatible families in accuracy yet the former families are not only more efficient in computation but also more concise in formulation. © 2010 Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/137346
ISSN
2015 Impact Factor: 2.175
2015 SCImago Journal Rankings: 1.278
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorSze, KYen_HK
dc.contributor.authorWu, Den_HK
dc.date.accessioned2011-08-26T14:23:31Z-
dc.date.available2011-08-26T14:23:31Z-
dc.date.issued2011en_HK
dc.identifier.citationFinite Elements In Analysis And Design, 2011, v. 47 n. 4, p. 360-372en_HK
dc.identifier.issn0168-874Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/137346-
dc.description.abstractIn this paper, four transition element families that comprise five- to seven-node quadrilateral elements are developed based on the hybrid-stress and enhanced assumed strain (EAS) formulations for adaptive analyses of axisymmetric elasticity problems. For members in the first hybrid-stress family, a quasi-linear stress field with ten equilibrating stress modes is derived and employed. To study the effect of including more stress modes in the assumed stress field, another family with two additional stress modes is implemented. On the other hand, two EAS element families are constructed with respect to the incompatible displacement modes of two existing incompatible displacement transition element families. Several numerical examples are exercised. It can be seen that the first hybrid-stress family is the most accurate one among the proposed families. Moreover, the EAS families are close to the respective incompatible families in accuracy yet the former families are not only more efficient in computation but also more concise in formulation. © 2010 Elsevier B.V. All rights reserved.en_HK
dc.languageengen_US
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.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Finite Elements in Analysis and Design. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Finite Elements in Analysis and Design, 2011, v. 47 n. 4, p. 360-372. DOI: http://dx.doi.org/10.1016/j.finel.2010.11.002-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectAdaptive analysisen_HK
dc.subjectAxisymmetricen_HK
dc.subjectEASen_HK
dc.subjectHybrid-stressen_HK
dc.subjectTransition elementen_HK
dc.titleTransition finite element families for adaptive analysis of axisymmetric elasticity problemsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0168-874X&volume=47&issue=4&spage=360&epage=372&date=2011&atitle=Transition+finite+element+families+for+adaptive+analysis+of+axisymmetric+elasticity+problems-
dc.identifier.emailSze, KY:szeky@graduate.hku.hken_HK
dc.identifier.authoritySze, KY=rp00171en_HK
dc.description.naturepostprint-
dc.identifier.doi10.1016/j.finel.2010.11.002en_HK
dc.identifier.scopuseid_2-s2.0-78650797750en_HK
dc.identifier.hkuros191244en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-78650797750&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume47en_HK
dc.identifier.issue4en_HK
dc.identifier.spage360en_HK
dc.identifier.epage372en_HK
dc.identifier.isiWOS:000286973200005-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridSze, KY=7006735060en_HK
dc.identifier.scopusauthoridWu, D=26638590700en_HK
dc.identifier.citeulike8602265-

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