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Article: Stabilization schemes for 12-node to 21-node brick elements based on orthogonal and consistently assumed stress modes

TitleStabilization schemes for 12-node to 21-node brick elements based on orthogonal and consistently assumed stress modes
Authors
Issue Date1994
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cma
Citation
Computer Methods In Applied Mechanics And Engineering, 1994, v. 119 n. 3-4, p. 325-340 How to Cite?
AbstractIn this paper, hybrid 13-node to 21-node elements are devised by assuming a set of lower order and a set of higher order stress modes. The lower order modes are so chosen that the resulting elements in the absence of the higher order modes are equivalent to the respective sub-integrated elements. To identify the higher order modes for stabilizing the sub-integrated elements, spurious mechanisms of the sub-integrated elements are first derived. The higher order stress modes, being orthogonal to all the lower modes, are then modified from the strain derived from the spurious mechanisms. To reduce computational cost, simplification is introduced to the flexibility matrix associated with the higher order stress modes. Numerical examples of the stabilized 20- and 21-node elements are presented, their accuracy is close to the state-of-the-art hybrid elements, yet the former elements are much more efficient. © 1994.
Persistent Identifierhttp://hdl.handle.net/10722/156413
ISSN
2015 Impact Factor: 3.467
2015 SCImago Journal Rankings: 2.952

 

DC FieldValueLanguage
dc.contributor.authorSze, KYen_US
dc.date.accessioned2012-08-08T08:42:20Z-
dc.date.available2012-08-08T08:42:20Z-
dc.date.issued1994en_US
dc.identifier.citationComputer Methods In Applied Mechanics And Engineering, 1994, v. 119 n. 3-4, p. 325-340en_US
dc.identifier.issn0045-7825en_US
dc.identifier.urihttp://hdl.handle.net/10722/156413-
dc.description.abstractIn this paper, hybrid 13-node to 21-node elements are devised by assuming a set of lower order and a set of higher order stress modes. The lower order modes are so chosen that the resulting elements in the absence of the higher order modes are equivalent to the respective sub-integrated elements. To identify the higher order modes for stabilizing the sub-integrated elements, spurious mechanisms of the sub-integrated elements are first derived. The higher order stress modes, being orthogonal to all the lower modes, are then modified from the strain derived from the spurious mechanisms. To reduce computational cost, simplification is introduced to the flexibility matrix associated with the higher order stress modes. Numerical examples of the stabilized 20- and 21-node elements are presented, their accuracy is close to the state-of-the-art hybrid elements, yet the former elements are much more efficient. © 1994.en_US
dc.languageengen_US
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cmaen_US
dc.relation.ispartofComputer Methods in Applied Mechanics and Engineeringen_US
dc.titleStabilization schemes for 12-node to 21-node brick elements based on orthogonal and consistently assumed stress modesen_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-s2.0-0028731004en_US
dc.identifier.volume119en_US
dc.identifier.issue3-4en_US
dc.identifier.spage325en_US
dc.identifier.epage340en_US
dc.publisher.placeNetherlandsen_US
dc.identifier.scopusauthoridSze, KY=7006735060en_US

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