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Article: On invariance of isoparametric hybrid/mixed elements

TitleOn invariance of isoparametric hybrid/mixed elements
Authors
Issue Date1992
Citation
Communications In Applied Numerical Methods, 1992, v. 8 n. 6, p. 385-406 How to Cite?
AbstractIn this paper the issue of invariance for various hybrid/mixed models with and without incompatible displacement modes is addressed. Special emphasis is directed to assumed spaces of the primary variables which are based on the natural co-ordinates. It is found that if the assumed spaces of all primary variables are invariant to orthogonal transformations, any derived models would automatically be invariant. In contrast to the traditional concept of choosing the starting stress/strain interpolants based on either global or local co-ordinate systems, it is shown that it is not necessary to employ either complete or balanced polynomial expansions of natural co-ordinates in order to preserve the element invariance. Based on one of the newly proposed classes of stress/strain interpolants, 8-node invariant-assumed stress brick elements are proposed which are close to Loikkanen and Irons' assumed stress counterpart of Wilson's Q6 brick element.
Persistent Identifierhttp://hdl.handle.net/10722/156368
ISSN

 

DC FieldValueLanguage
dc.contributor.authorSze, KYen_US
dc.contributor.authorChow, CLen_US
dc.contributor.authorWanji, Chenen_US
dc.date.accessioned2012-08-08T08:42:10Z-
dc.date.available2012-08-08T08:42:10Z-
dc.date.issued1992en_US
dc.identifier.citationCommunications In Applied Numerical Methods, 1992, v. 8 n. 6, p. 385-406en_US
dc.identifier.issn0748-8025en_US
dc.identifier.urihttp://hdl.handle.net/10722/156368-
dc.description.abstractIn this paper the issue of invariance for various hybrid/mixed models with and without incompatible displacement modes is addressed. Special emphasis is directed to assumed spaces of the primary variables which are based on the natural co-ordinates. It is found that if the assumed spaces of all primary variables are invariant to orthogonal transformations, any derived models would automatically be invariant. In contrast to the traditional concept of choosing the starting stress/strain interpolants based on either global or local co-ordinate systems, it is shown that it is not necessary to employ either complete or balanced polynomial expansions of natural co-ordinates in order to preserve the element invariance. Based on one of the newly proposed classes of stress/strain interpolants, 8-node invariant-assumed stress brick elements are proposed which are close to Loikkanen and Irons' assumed stress counterpart of Wilson's Q6 brick element.en_US
dc.languageengen_US
dc.relation.ispartofCommunications in Applied Numerical Methodsen_US
dc.titleOn invariance of isoparametric hybrid/mixed elementsen_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-s2.0-0026880395en_US
dc.identifier.volume8en_US
dc.identifier.issue6en_US
dc.identifier.spage385en_US
dc.identifier.epage406en_US
dc.identifier.scopusauthoridSze, KY=7006735060en_US
dc.identifier.scopusauthoridChow, CL=7402578536en_US
dc.identifier.scopusauthoridWanji, Chen=6701386210en_US

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