File Download
 
Links for fulltext
(May Require Subscription)
 
Supplementary

Article: Adaptive meshing and analysis using transitional quadrilateral and hexahedral elements
  • Basic View
  • Metadata View
  • XML View
TitleAdaptive meshing and analysis using transitional quadrilateral and hexahedral elements
 
AuthorsLo, SH1
Wu, D1
Sze, KY1
 
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
 
CitationFinite Elements In Analysis And Design, 2010, v. 46 n. 1-2, p. 2-16 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.finel.2009.06.010
 
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.
 
ISSN0168-874X
2012 Impact Factor: 1.389
2012 SCImago Journal Rankings: 0.910
 
DOIhttp://dx.doi.org/10.1016/j.finel.2009.06.010
 
ISI Accession Number IDWOS:000272190300002
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.

 
ReferencesReferences in Scopus
 
DC FieldValue
dc.contributor.authorLo, SH
 
dc.contributor.authorWu, D
 
dc.contributor.authorSze, KY
 
dc.date.accessioned2010-10-31T10:56:55Z
 
dc.date.available2010-10-31T10:56:55Z
 
dc.date.issued2010
 
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.
 
dc.description.natureLink_to_subscribed_fulltext
 
dc.identifier.citationFinite Elements In Analysis And Design, 2010, v. 46 n. 1-2, p. 2-16 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.finel.2009.06.010
 
dc.identifier.citeulike5880763
 
dc.identifier.doihttp://dx.doi.org/10.1016/j.finel.2009.06.010
 
dc.identifier.epage16
 
dc.identifier.hkuros195773
 
dc.identifier.isiWOS:000272190300002
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.

 
dc.identifier.issn0168-874X
2012 Impact Factor: 1.389
2012 SCImago Journal Rankings: 0.910
 
dc.identifier.issue1-2
 
dc.identifier.openurl
 
dc.identifier.scopuseid_2-s2.0-71549159439
 
dc.identifier.spage2
 
dc.identifier.urihttp://hdl.handle.net/10722/124836
 
dc.identifier.volume46
 
dc.languageeng
 
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/finel
 
dc.publisher.placeNetherlands
 
dc.relation.ispartofFinite Elements in Analysis and Design
 
dc.relation.referencesReferences in Scopus
 
dc.subjectAdaptive refinement analysis
 
dc.subjectHybrid stress transition quadrilateral and hexahedral finite elements
 
dc.titleAdaptive meshing and analysis using transitional quadrilateral and hexahedral elements
 
dc.typeArticle
 
<?xml encoding="utf-8" version="1.0"?>
<item><contributor.author>Lo, SH</contributor.author>
<contributor.author>Wu, D</contributor.author>
<contributor.author>Sze, KY</contributor.author>
<date.accessioned>2010-10-31T10:56:55Z</date.accessioned>
<date.available>2010-10-31T10:56:55Z</date.available>
<date.issued>2010</date.issued>
<identifier.citation>Finite Elements In Analysis And Design, 2010, v. 46 n. 1-2, p. 2-16</identifier.citation>
<identifier.issn>0168-874X</identifier.issn>
<identifier.uri>http://hdl.handle.net/10722/124836</identifier.uri>
<description.abstract>In 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. &#169; 2009 Elsevier B.V. All rights reserved.</description.abstract>
<language>eng</language>
<publisher>Elsevier BV. The Journal&apos;s web site is located at http://www.elsevier.com/locate/finel</publisher>
<relation.ispartof>Finite Elements in Analysis and Design</relation.ispartof>
<subject>Adaptive refinement analysis</subject>
<subject>Hybrid stress transition quadrilateral and hexahedral finite elements</subject>
<title>Adaptive meshing and analysis using transitional quadrilateral and hexahedral elements</title>
<type>Article</type>
<identifier.openurl>http://library.hku.hk:4550/resserv?sid=HKU:IR&amp;issn=0168-874X&amp;volume=46&amp;issue=1-2&amp;spage=2&amp;epage=16&amp;date=2010&amp;atitle=Adaptive+meshing+and+analysis+using+transitional+quadrilateral+and+hexahedral+elements</identifier.openurl>
<description.nature>Link_to_subscribed_fulltext</description.nature>
<identifier.doi>10.1016/j.finel.2009.06.010</identifier.doi>
<identifier.scopus>eid_2-s2.0-71549159439</identifier.scopus>
<identifier.hkuros>195773</identifier.hkuros>
<relation.references>http://www.scopus.com/mlt/select.url?eid=2-s2.0-71549159439&amp;selection=ref&amp;src=s&amp;origin=recordpage</relation.references>
<identifier.volume>46</identifier.volume>
<identifier.issue>1-2</identifier.issue>
<identifier.spage>2</identifier.spage>
<identifier.epage>16</identifier.epage>
<identifier.isi>WOS:000272190300002</identifier.isi>
<publisher.place>Netherlands</publisher.place>
<identifier.citeulike>5880763</identifier.citeulike>
</item>
Author Affiliations
  1. The University of Hong Kong