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Article: Elimination of spurious pressure and kinematic modes in biquadratic nine-node plane element

TitleElimination of spurious pressure and kinematic modes in biquadratic nine-node plane element
Authors
Issue Date1995
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, 1995, v. 38 n. 23, p. 3911-3932 How to Cite?
AbstractIn two-dimensional penalty finite element analysis of incompressible materials, Q9/3P, the 9-node quadrilateral with three assumed quasi-pressure modes, is the most popular element not bothered by spurious pressure. In constructing the penalty matrix of Q9/3P, it is necessary to form a 3 × 18 matrix and a 3 × 3 symmetric matrix. The inverse of the symmetric matrix is then post- and pre-multiplied by the 3 × 18 matrix and its transpose, respectively. By employing a rank subtraction technique, a new and more efficient implementation scheme is devised for the penalty matrix. Same as the conventional Q9 element, when Q9/3P is fully integrated, it becomes expensive and too stiff. On the other hand, there are two spurious kinematic modes should the element be sub-integrated. In the proposed Q9/3P element, the two mechanisms will be annihilated by judiciously chosen higher-order assumed stress modes in conjunction with a modified Hellinger-Reissner functional. It will be demonstrated that the element is of good accuracy and high efficiency.
Persistent Identifierhttp://hdl.handle.net/10722/156428
ISSN
2015 Impact Factor: 2.1
2015 SCImago Journal Rankings: 2.007

 

DC FieldValueLanguage
dc.contributor.authorSze, KYen_US
dc.contributor.authorFan, Hen_US
dc.contributor.authorChow, CLen_US
dc.date.accessioned2012-08-08T08:42:24Z-
dc.date.available2012-08-08T08:42:24Z-
dc.date.issued1995en_US
dc.identifier.citationInternational Journal For Numerical Methods In Engineering, 1995, v. 38 n. 23, p. 3911-3932en_US
dc.identifier.issn0029-5981en_US
dc.identifier.urihttp://hdl.handle.net/10722/156428-
dc.description.abstractIn two-dimensional penalty finite element analysis of incompressible materials, Q9/3P, the 9-node quadrilateral with three assumed quasi-pressure modes, is the most popular element not bothered by spurious pressure. In constructing the penalty matrix of Q9/3P, it is necessary to form a 3 × 18 matrix and a 3 × 3 symmetric matrix. The inverse of the symmetric matrix is then post- and pre-multiplied by the 3 × 18 matrix and its transpose, respectively. By employing a rank subtraction technique, a new and more efficient implementation scheme is devised for the penalty matrix. Same as the conventional Q9 element, when Q9/3P is fully integrated, it becomes expensive and too stiff. On the other hand, there are two spurious kinematic modes should the element be sub-integrated. In the proposed Q9/3P element, the two mechanisms will be annihilated by judiciously chosen higher-order assumed stress modes in conjunction with a modified Hellinger-Reissner functional. It will be demonstrated that the element is of good accuracy and high efficiency.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.titleElimination of spurious pressure and kinematic modes in biquadratic nine-node plane elementen_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-s2.0-0029535287en_US
dc.identifier.volume38en_US
dc.identifier.issue23en_US
dc.identifier.spage3911en_US
dc.identifier.epage3932en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridSze, KY=7006735060en_US
dc.identifier.scopusauthoridFan, H=7402553644en_US
dc.identifier.scopusauthoridChow, CL=7402578536en_US

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