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Article: Finite element formulation by parametrized hybrid variational principles: Variable stiffness and removal of locking

TitleFinite element formulation by parametrized hybrid variational principles: Variable stiffness and removal of locking
Authors
Issue Date1994
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, 1994, v. 37 n. 16, p. 2797-2818 How to Cite?
AbstractIn this paper, a new one-parameter hybrid functional is obtained as a special case of Felippa and Militello's parametrized variational principles. The functional contains stress, strain and compatible displacement as the primary fields. It will be proved that some of the existing variable stiffness formulations fall into the framework of the new functional. Novel applications of the functional are also suggested, mainly for removal of locking. Solid element, destabilized 8-node and stabilized 9-plate elements are designed. All of them can handle thin plate/shell analysis. In particular, a prominent method is devised for constructing stabilization vectors. The vectors are explicit linear functions of the nodal coordinates and can be implemented without resorting to Gram-Schmidt orthogonalization or numerical integration. Results of the new elements in popular benchmark tests are encouraging.
Persistent Identifierhttp://hdl.handle.net/10722/156406
ISSN
2015 Impact Factor: 2.1
2015 SCImago Journal Rankings: 2.007

 

DC FieldValueLanguage
dc.contributor.authorSze, KYen_US
dc.date.accessioned2012-08-08T08:42:18Z-
dc.date.available2012-08-08T08:42:18Z-
dc.date.issued1994en_US
dc.identifier.citationInternational Journal For Numerical Methods In Engineering, 1994, v. 37 n. 16, p. 2797-2818en_US
dc.identifier.issn0029-5981en_US
dc.identifier.urihttp://hdl.handle.net/10722/156406-
dc.description.abstractIn this paper, a new one-parameter hybrid functional is obtained as a special case of Felippa and Militello's parametrized variational principles. The functional contains stress, strain and compatible displacement as the primary fields. It will be proved that some of the existing variable stiffness formulations fall into the framework of the new functional. Novel applications of the functional are also suggested, mainly for removal of locking. Solid element, destabilized 8-node and stabilized 9-plate elements are designed. All of them can handle thin plate/shell analysis. In particular, a prominent method is devised for constructing stabilization vectors. The vectors are explicit linear functions of the nodal coordinates and can be implemented without resorting to Gram-Schmidt orthogonalization or numerical integration. Results of the new elements in popular benchmark tests are encouraging.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.titleFinite element formulation by parametrized hybrid variational principles: Variable stiffness and removal of lockingen_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-s2.0-0028485302en_US
dc.identifier.volume37en_US
dc.identifier.issue16en_US
dc.identifier.spage2797en_US
dc.identifier.epage2818en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridSze, KY=7006735060en_US

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