Article: Adaptive refinement analysis using hybrid-stress transition elements

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TitleAdaptive refinement analysis using hybrid-stress transition elements
AuthorsLo, SH1
Wan, KH1
Sze, KY1
KeywordsAdaptive refinement analysis
Plane elasticity
Transition hybrid-stress elements
Issue Date2006
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/compstruc
CitationComputers And Structures, 2006, v. 84 n. 31-32, p. 2212-2230 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.compstruc.2006.08.013
AbstractIn this paper, 4-node to 7-node hybrid-stress transition elements are developed for automatic adaptive refinement analysis of plane elasticity problems. The displacement-based transition quadrilateral elements are first adopted and applied to refinement analysis using both full and reduced integration schemes. As the stress field over the displacement-based transition elements is not continuous, a more smooth stress pattern is desirable and could enhance the performance of the element. Indeed, continuous stress field of various orders can be easily introduced into a displacement-based element through a variational procedure based on the Hellinger-Reissner functional. Of the same kinematics and displacement pattern, the resulting hybrid-stress transition elements are more superior to the displacement-based elements in possessing a more continuous high quality stress field within the element. The hybrid-stress transition elements are tested with classical benchmark examples, and the results indicate that hybrid-stress transition elements are consistently more efficient than the displacement-based counterparts in adaptive refinement analysis. A more economical rank-deficient version of hybrid-stress transition elements is also available. While they are less expensive to evaluate, they enjoy a very similar convergence rate as the rank-sufficient hybrid-stress transition elements. © 2006 Elsevier Ltd. All rights reserved.
ISSN0045-7949
2011 Impact Factor: 1.874
2011 SCImago Journal Rankings: 0.072
DOIhttp://dx.doi.org/10.1016/j.compstruc.2006.08.013
ISI Accession Number IDWOS:000243267400011
ReferencesReferences in Scopus
DC Field
Value
dc.contributor.authorLo, SH
dc.contributor.authorWan, KH
dc.contributor.authorSze, KY
dc.date.accessioned2010-09-06T06:31:52Z
dc.date.available2010-09-06T06:31:52Z
dc.date.issued2006
dc.description.abstractIn this paper, 4-node to 7-node hybrid-stress transition elements are developed for automatic adaptive refinement analysis of plane elasticity problems. The displacement-based transition quadrilateral elements are first adopted and applied to refinement analysis using both full and reduced integration schemes. As the stress field over the displacement-based transition elements is not continuous, a more smooth stress pattern is desirable and could enhance the performance of the element. Indeed, continuous stress field of various orders can be easily introduced into a displacement-based element through a variational procedure based on the Hellinger-Reissner functional. Of the same kinematics and displacement pattern, the resulting hybrid-stress transition elements are more superior to the displacement-based elements in possessing a more continuous high quality stress field within the element. The hybrid-stress transition elements are tested with classical benchmark examples, and the results indicate that hybrid-stress transition elements are consistently more efficient than the displacement-based counterparts in adaptive refinement analysis. A more economical rank-deficient version of hybrid-stress transition elements is also available. While they are less expensive to evaluate, they enjoy a very similar convergence rate as the rank-sufficient hybrid-stress transition elements. © 2006 Elsevier Ltd. All rights reserved.
dc.description.natureLink_to_subscribed_fulltext
dc.identifier.citationComputers And Structures, 2006, v. 84 n. 31-32, p. 2212-2230 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.compstruc.2006.08.013
dc.identifier.doihttp://dx.doi.org/10.1016/j.compstruc.2006.08.013
dc.identifier.epage2230
dc.identifier.hkuros129917
dc.identifier.isiWOS:000243267400011
dc.identifier.issn0045-7949
2011 Impact Factor: 1.874
2011 SCImago Journal Rankings: 0.072
dc.identifier.issue31-32
dc.identifier.openurl
dc.identifier.scopuseid_2-s2.0-33751428836
dc.identifier.spage2212
dc.identifier.urihttp://hdl.handle.net/10722/71424
dc.identifier.volume84
dc.languageeng
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/compstruc
dc.publisher.placeUnited Kingdom
dc.relation.ispartofComputers and Structures
dc.relation.referencesReferences in Scopus
dc.subjectAdaptive refinement analysis
dc.subjectPlane elasticity
dc.subjectTransition hybrid-stress elements
dc.titleAdaptive refinement analysis using hybrid-stress transition elements
dc.typeArticle
Author Affiliations
  1. The University of Hong Kong