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Article: Efficient formulation of robust hybrid elements using orthogonal stress/strain interpolants and admissible matrix formulation

TitleEfficient formulation of robust hybrid elements using orthogonal stress/strain interpolants and admissible matrix formulation
Authors
Issue Date1992
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, 1992, v. 35 n. 1, p. 1-20 How to Cite?
AbstractThis paper presents an investigation of using orthogonal constant and higher order stress modes in formulating efficient hybrid elements by equipping the primary idea of Bergan and Hanssen. Two sample elements modified from Pian-Sumihara 5-β plane and Pian-Tong 18-β hexahedral assumed contravariant stress elements are derived. With the suggested admissible simplifications of the flexibility matrices incorporated into the two new elements, new plane and hexahedral elements requiring respectively no and a negligible amount of computing efforts for inverting the flexibility matrices are formed. All, proposed elements are stable, invariant, contain no empirically determined factor and strictly pass the patch test. Popular benchmark problems are studied and the accuracy of the proposed elements is close to their parent models.
Persistent Identifierhttp://hdl.handle.net/10722/156371
ISSN
2015 Impact Factor: 2.1
2015 SCImago Journal Rankings: 2.007

 

DC FieldValueLanguage
dc.contributor.authorSze, KYen_US
dc.date.accessioned2012-08-08T08:42:11Z-
dc.date.available2012-08-08T08:42:11Z-
dc.date.issued1992en_US
dc.identifier.citationInternational Journal For Numerical Methods In Engineering, 1992, v. 35 n. 1, p. 1-20en_US
dc.identifier.issn0029-5981en_US
dc.identifier.urihttp://hdl.handle.net/10722/156371-
dc.description.abstractThis paper presents an investigation of using orthogonal constant and higher order stress modes in formulating efficient hybrid elements by equipping the primary idea of Bergan and Hanssen. Two sample elements modified from Pian-Sumihara 5-β plane and Pian-Tong 18-β hexahedral assumed contravariant stress elements are derived. With the suggested admissible simplifications of the flexibility matrices incorporated into the two new elements, new plane and hexahedral elements requiring respectively no and a negligible amount of computing efforts for inverting the flexibility matrices are formed. All, proposed elements are stable, invariant, contain no empirically determined factor and strictly pass the patch test. Popular benchmark problems are studied and the accuracy of the proposed elements is close to their parent models.en_US
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_US
dc.relation.ispartofInternational Journal for Numerical Methods in Engineeringen_US
dc.titleEfficient formulation of robust hybrid elements using orthogonal stress/strain interpolants and admissible matrix formulationen_US
dc.typeArticleen_US
dc.identifier.emailSze, KY:szeky@graduate.hku.hken_US
dc.identifier.authoritySze, KY=rp00171en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0026884823en_US
dc.identifier.volume35en_US
dc.identifier.issue1en_US
dc.identifier.spage1en_US
dc.identifier.epage20en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridSze, KY=7006735060en_US

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