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Article: Two- and three-dimensional transition element families for adaptive refinement analysis of elasticity problems

TitleTwo- and three-dimensional transition element families for adaptive refinement analysis of elasticity problems
Authors
KeywordsAdaptive refinement
EAS
Hybrid stress
SPR
Transition element
Issue Date2009
PublisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1430
Citation
International Journal For Numerical Methods In Engineering, 2009, v. 78 n. 5, p. 587-630 How to Cite?
AbstractIn this paper, new enhanced assumed strain (EAS) and hybrid stress transition element families are developed for 2D and 3D adaptive refinement analysis of elasticity problems. The EAS element families are based on some existing incompatible transition element families. By using the EAS method and the previous incompatible modes, the B-matrix columns associated with the EAS modes can be directly designed such that their domain integrals vanish automatically and they can be computed more efficiently. For 2D hybrid stress transition element families, it is possible to derive different stress fields that lead to rank-sufficient transition elements. However, the task becomes intractable for 3D hybrid stress transition elements in which many combinations of mid-side and mid-face nodes are possible. This paper proposes to use hybrid stress transition element families in which the assumed stress fields are linearly complete. The new 2D element family is more accurate than the 2D rank-sufficient element family. The new 3D element family is more accurate than the one with additional bilinear stress modes. Numerical examples reveal that the most accurate transition element families are the newly developed hybrid stress families followed by the EAS families, the incompatible families and then the compatible families. Copyright © 2008 John Wiley & Sons, Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/150495
ISSN
2015 Impact Factor: 2.1
2015 SCImago Journal Rankings: 2.007
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorWu, Den_HK
dc.contributor.authorSze, KYen_HK
dc.contributor.authorLo, SHen_HK
dc.date.accessioned2012-06-26T06:05:09Z-
dc.date.available2012-06-26T06:05:09Z-
dc.date.issued2009en_HK
dc.identifier.citationInternational Journal For Numerical Methods In Engineering, 2009, v. 78 n. 5, p. 587-630en_HK
dc.identifier.issn0029-5981en_HK
dc.identifier.urihttp://hdl.handle.net/10722/150495-
dc.description.abstractIn this paper, new enhanced assumed strain (EAS) and hybrid stress transition element families are developed for 2D and 3D adaptive refinement analysis of elasticity problems. The EAS element families are based on some existing incompatible transition element families. By using the EAS method and the previous incompatible modes, the B-matrix columns associated with the EAS modes can be directly designed such that their domain integrals vanish automatically and they can be computed more efficiently. For 2D hybrid stress transition element families, it is possible to derive different stress fields that lead to rank-sufficient transition elements. However, the task becomes intractable for 3D hybrid stress transition elements in which many combinations of mid-side and mid-face nodes are possible. This paper proposes to use hybrid stress transition element families in which the assumed stress fields are linearly complete. The new 2D element family is more accurate than the 2D rank-sufficient element family. The new 3D element family is more accurate than the one with additional bilinear stress modes. Numerical examples reveal that the most accurate transition element families are the newly developed hybrid stress families followed by the EAS families, the incompatible families and then the compatible families. Copyright © 2008 John Wiley & Sons, Ltd.en_HK
dc.languageengen_US
dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1430en_HK
dc.relation.ispartofInternational Journal for Numerical Methods in Engineeringen_HK
dc.subjectAdaptive refinementen_HK
dc.subjectEASen_HK
dc.subjectHybrid stressen_HK
dc.subjectSPRen_HK
dc.subjectTransition elementen_HK
dc.titleTwo- and three-dimensional transition element families for adaptive refinement analysis of elasticity problemsen_HK
dc.typeArticleen_HK
dc.identifier.emailSze, KY:szeky@graduate.hku.hken_HK
dc.identifier.emailLo, SH:hreclsh@hkucc.hku.hken_HK
dc.identifier.authoritySze, KY=rp00171en_HK
dc.identifier.authorityLo, SH=rp00223en_HK
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1002/nme.2508en_HK
dc.identifier.scopuseid_2-s2.0-65449119906en_HK
dc.identifier.hkuros152502-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-65449119906&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume78en_HK
dc.identifier.issue5en_HK
dc.identifier.spage587en_HK
dc.identifier.epage630en_HK
dc.identifier.isiWOS:000265541200004-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridWu, D=26638590700en_HK
dc.identifier.scopusauthoridSze, KY=7006735060en_HK
dc.identifier.scopusauthoridLo, SH=7401542444en_HK

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