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Article: Hybrid stress tetrahedral elements with Allman's rotational D.O.F.s

TitleHybrid stress tetrahedral elements with Allman's rotational D.O.F.s
Authors
KeywordsFinite Element
Hybrid/Mixed
Rotation
Tetrahedron
Zero-Energy Mode
Issue Date2000
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, 2000, v. 48 n. 7, p. 1055-1070 How to Cite?
AbstractThis paper presents two hybrid stress four-node tetrahedron solid elements which are equipped with the rotational d.o.f.s proposed by Allman. Inasmuch Allman's rotation is employed, the elements are plagued by zero-energy rotation modes which induce no strain. A modified Hellinger-Reissner functional that treats the rotation and the skew symmetric stress as independent fields is employed to formulate a stabilization scheme. Particular effort has been made to reduce the number of stress modes to minimum without sacrificing the frame invariance and proper rank of the element. The computational cost of the element is reduced by adopting orthogonal constant and non-constant symmetric stress modes. Numerical benchmark tests indicate that accuracy of the element with the minimum number of stress modes is close to another multi-field element which, however, is not frame invariant and exhibits unsuppressed zero-energy deformation modes. Copyright © 2000 John Wiley & Sons, Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/156541
ISSN
2015 Impact Factor: 2.1
2015 SCImago Journal Rankings: 2.007
References

 

DC FieldValueLanguage
dc.contributor.authorSze, KYen_US
dc.contributor.authorPan, YSen_US
dc.date.accessioned2012-08-08T08:42:52Z-
dc.date.available2012-08-08T08:42:52Z-
dc.date.issued2000en_US
dc.identifier.citationInternational Journal For Numerical Methods In Engineering, 2000, v. 48 n. 7, p. 1055-1070en_US
dc.identifier.issn0029-5981en_US
dc.identifier.urihttp://hdl.handle.net/10722/156541-
dc.description.abstractThis paper presents two hybrid stress four-node tetrahedron solid elements which are equipped with the rotational d.o.f.s proposed by Allman. Inasmuch Allman's rotation is employed, the elements are plagued by zero-energy rotation modes which induce no strain. A modified Hellinger-Reissner functional that treats the rotation and the skew symmetric stress as independent fields is employed to formulate a stabilization scheme. Particular effort has been made to reduce the number of stress modes to minimum without sacrificing the frame invariance and proper rank of the element. The computational cost of the element is reduced by adopting orthogonal constant and non-constant symmetric stress modes. Numerical benchmark tests indicate that accuracy of the element with the minimum number of stress modes is close to another multi-field element which, however, is not frame invariant and exhibits unsuppressed zero-energy deformation modes. Copyright © 2000 John Wiley & Sons, Ltd.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.subjectFinite Elementen_US
dc.subjectHybrid/Mixeden_US
dc.subjectRotationen_US
dc.subjectTetrahedronen_US
dc.subjectZero-Energy Modeen_US
dc.titleHybrid stress tetrahedral elements with Allman's rotational D.O.F.sen_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-s2.0-0033716463en_US
dc.identifier.hkuros60007-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0033716463&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume48en_US
dc.identifier.issue7en_US
dc.identifier.spage1055en_US
dc.identifier.epage1070en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridSze, KY=7006735060en_US
dc.identifier.scopusauthoridPan, YS=7403340027en_US

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