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Article: Generating quadrilateral elements on plane and over curved surfaces

TitleGenerating quadrilateral elements on plane and over curved surfaces
Authors
Issue Date1989
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/compstruc
Citation
Computers And Structures, 1989, v. 31 n. 3, p. 421-426 How to Cite?
AbstractAn algorithm is proposed to generate quadrilateral elements over a triangular element mesh by selectively removing diagonals between triangles. The quality (shape) of a triangular element can be measured by the dimensionless α value (area/sum of squares of sides). As for quadrilateral elements, a new distortion coefficient β has to be introduced, with which the quality of a quadrilateral can be compared to those of the two triangles arising from a cut along either diagonal. A parameter γ can be specified by the user to give higher preference either to triangles or to quadrilaterals. Hence a careful selection of γ would lead to an optimized hybrid mesh consisting of both triangular and quadrilateral elements. Since a quadrilateral can always be divided into two triangles, the method can be considered as a general approach for the generation of quadrilateral elements both on plane and over curved surfaces. As shown by the examples, regular quadrilateral finite element meshes and quadrilateral elements at the interior part of a region are easily recovered by the algorithm. © 1989.
Persistent Identifierhttp://hdl.handle.net/10722/144826
ISSN
2015 Impact Factor: 2.425
2015 SCImago Journal Rankings: 1.710
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorLo, SHen_HK
dc.date.accessioned2012-02-06T06:04:37Z-
dc.date.available2012-02-06T06:04:37Z-
dc.date.issued1989en_HK
dc.identifier.citationComputers And Structures, 1989, v. 31 n. 3, p. 421-426en_HK
dc.identifier.issn0045-7949en_HK
dc.identifier.urihttp://hdl.handle.net/10722/144826-
dc.description.abstractAn algorithm is proposed to generate quadrilateral elements over a triangular element mesh by selectively removing diagonals between triangles. The quality (shape) of a triangular element can be measured by the dimensionless α value (area/sum of squares of sides). As for quadrilateral elements, a new distortion coefficient β has to be introduced, with which the quality of a quadrilateral can be compared to those of the two triangles arising from a cut along either diagonal. A parameter γ can be specified by the user to give higher preference either to triangles or to quadrilaterals. Hence a careful selection of γ would lead to an optimized hybrid mesh consisting of both triangular and quadrilateral elements. Since a quadrilateral can always be divided into two triangles, the method can be considered as a general approach for the generation of quadrilateral elements both on plane and over curved surfaces. As shown by the examples, regular quadrilateral finite element meshes and quadrilateral elements at the interior part of a region are easily recovered by the algorithm. © 1989.en_HK
dc.languageeng-
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/compstrucen_HK
dc.relation.ispartofComputers and Structuresen_HK
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Computers & Structures. 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 Computers & Structures, [VOL 31, ISSUE3, 1989] DOI 10.1016/0045-7949(89)90389-1-
dc.titleGenerating quadrilateral elements on plane and over curved surfacesen_HK
dc.typeArticleen_HK
dc.identifier.emailLo, SH:hreclsh@hkucc.hku.hken_HK
dc.identifier.authorityLo, SH=rp00223en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/0045-7949(89)90389-1-
dc.identifier.scopuseid_2-s2.0-0024867660en_HK
dc.identifier.volume31en_HK
dc.identifier.issue3en_HK
dc.identifier.spage421en_HK
dc.identifier.epage426en_HK
dc.identifier.isiWOS:A1989T730200013-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridLo, SH=7401542444en_HK

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