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Article: Adaptive meshing and analysis using transitional quadrilateral and hexahedral elements

TitleAdaptive meshing and analysis using transitional quadrilateral and hexahedral elements
Authors
KeywordsAdaptive refinement analysis
Hybrid stress transition quadrilateral and hexahedral finite elements
Issue Date2010
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/finel
Citation
Finite Elements In Analysis And Design, 2010, v. 46 n. 1-2, p. 2-16 How to Cite?
AbstractIn adaptive finite element analysis, h-type refinement can be achieved basically in two ways: (i) small elements are connected directly to large elements with full compatibility at element interfaces and (ii) transitional elements are employed to link up elements of different sizes. While there is no difficulty in generating gradation triangular and tetrahedral meshes, generation of quadrilateral and hexahedral meshes of varying element sizes without severe element distortion proved to be a formidable task. The use of transitional elements allows meshes to be refined without element distortion, and the price that we have to pay is to develop general and efficient transitional elements in two and three dimensions. Transition elements, which satisfy the patch test, can be formulated by means of the enhanced assumed strain (EAS) method, which are in general more efficient than the incompatible elements. Alternatively, in this paper, we try to develop a series of versatile transition elements based on the hybrid stress approach. Direct designing stress fields for transition elements is just too complicated and especially impractical for 3D transition hexahedral elements. However, we found that the same stress field could be used for transition elements with variable number of nodes. By means of elimination and through numerical studies on some benchmark problems, 7- and 24-mode stress fields are adopted, respectively for 2D quadrilateral and 3D hexahedral hybrid stress transition elements. Strategy for generating refinement transition element meshes will be discussed, and the size of elements generated by the 1-irregular mesh restriction is compared with the predicted element size. The comparison shows that the meshing strategy employed in this study can effectively lead to an optimal mesh whose solution error is smaller than the prescribed one. © 2009 Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/124836
ISSN
2014 Impact Factor: 2.017
2014 SCImago Journal Rankings: 1.299
ISI Accession Number ID
Funding AgencyGrant Number
Research Grant Council of Hong KongHKU7117/04E
Funding Information:

The financial support from the Research Grant Council of Hong Kong for the project" Analysis of transfer plate structures using high performance solid 3D hybrid stress hexahedral elements" (Project Code HKU7117/04E) is gratefully acknowledged.

References

 

DC FieldValueLanguage
dc.contributor.authorLo, SHen_HK
dc.contributor.authorWu, Den_HK
dc.contributor.authorSze, KYen_HK
dc.date.accessioned2010-10-31T10:56:55Z-
dc.date.available2010-10-31T10:56:55Z-
dc.date.issued2010en_HK
dc.identifier.citationFinite Elements In Analysis And Design, 2010, v. 46 n. 1-2, p. 2-16en_HK
dc.identifier.issn0168-874Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/124836-
dc.description.abstractIn adaptive finite element analysis, h-type refinement can be achieved basically in two ways: (i) small elements are connected directly to large elements with full compatibility at element interfaces and (ii) transitional elements are employed to link up elements of different sizes. While there is no difficulty in generating gradation triangular and tetrahedral meshes, generation of quadrilateral and hexahedral meshes of varying element sizes without severe element distortion proved to be a formidable task. The use of transitional elements allows meshes to be refined without element distortion, and the price that we have to pay is to develop general and efficient transitional elements in two and three dimensions. Transition elements, which satisfy the patch test, can be formulated by means of the enhanced assumed strain (EAS) method, which are in general more efficient than the incompatible elements. Alternatively, in this paper, we try to develop a series of versatile transition elements based on the hybrid stress approach. Direct designing stress fields for transition elements is just too complicated and especially impractical for 3D transition hexahedral elements. However, we found that the same stress field could be used for transition elements with variable number of nodes. By means of elimination and through numerical studies on some benchmark problems, 7- and 24-mode stress fields are adopted, respectively for 2D quadrilateral and 3D hexahedral hybrid stress transition elements. Strategy for generating refinement transition element meshes will be discussed, and the size of elements generated by the 1-irregular mesh restriction is compared with the predicted element size. The comparison shows that the meshing strategy employed in this study can effectively lead to an optimal mesh whose solution error is smaller than the prescribed one. © 2009 Elsevier B.V. All rights reserved.en_HK
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.subjectAdaptive refinement analysisen_HK
dc.subjectHybrid stress transition quadrilateral and hexahedral finite elementsen_HK
dc.titleAdaptive meshing and analysis using transitional quadrilateral and hexahedral elementsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0168-874X&volume=46&issue=1-2&spage=2&epage=16&date=2010&atitle=Adaptive+meshing+and+analysis+using+transitional+quadrilateral+and+hexahedral+elements-
dc.identifier.emailLo, SH:hreclsh@hkucc.hku.hken_HK
dc.identifier.emailSze, KY:szeky@graduate.hku.hken_HK
dc.identifier.authorityLo, SH=rp00223en_HK
dc.identifier.authoritySze, KY=rp00171en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.finel.2009.06.010en_HK
dc.identifier.scopuseid_2-s2.0-71549159439en_HK
dc.identifier.hkuros195773en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-71549159439&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume46en_HK
dc.identifier.issue1-2en_HK
dc.identifier.spage2en_HK
dc.identifier.epage16en_HK
dc.identifier.isiWOS:000272190300002-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridLo, SH=7401542444en_HK
dc.identifier.scopusauthoridWu, D=26638590700en_HK
dc.identifier.scopusauthoridSze, KY=7006735060en_HK
dc.identifier.citeulike5880763-

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