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Article: Elimination of spurious pressure and kinematic modes in biquadratic nine-node plane element
Title | Elimination of spurious pressure and kinematic modes in biquadratic nine-node plane element |
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Authors | |
Keywords | hybrid element spurious mechanism spurious pressure stabilization |
Issue Date | 1995 |
Publisher | John 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? |
Abstract | In 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 Identifier | http://hdl.handle.net/10722/156428 |
ISSN | 2023 Impact Factor: 2.7 2023 SCImago Journal Rankings: 1.019 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Sze, KY | en_US |
dc.contributor.author | Fan, H | en_US |
dc.contributor.author | Chow, CL | en_US |
dc.date.accessioned | 2012-08-08T08:42:24Z | - |
dc.date.available | 2012-08-08T08:42:24Z | - |
dc.date.issued | 1995 | en_US |
dc.identifier.citation | International Journal For Numerical Methods In Engineering, 1995, v. 38 n. 23, p. 3911-3932 | en_US |
dc.identifier.issn | 0029-5981 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/156428 | - |
dc.description.abstract | In 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.language | eng | en_US |
dc.publisher | John Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1430 | en_US |
dc.relation.ispartof | International Journal for Numerical Methods in Engineering | en_US |
dc.subject | hybrid element | - |
dc.subject | spurious mechanism | - |
dc.subject | spurious pressure | - |
dc.subject | stabilization | - |
dc.title | Elimination of spurious pressure and kinematic modes in biquadratic nine-node plane element | en_US |
dc.type | Article | en_US |
dc.identifier.email | Sze, KY:szeky@graduate.hku.hk | en_US |
dc.identifier.authority | Sze, KY=rp00171 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.scopus | eid_2-s2.0-0029535287 | en_US |
dc.identifier.volume | 38 | en_US |
dc.identifier.issue | 23 | en_US |
dc.identifier.spage | 3911 | en_US |
dc.identifier.epage | 3932 | en_US |
dc.identifier.isi | WOS:A1995TF17800001 | - |
dc.publisher.place | United Kingdom | en_US |
dc.identifier.scopusauthorid | Sze, KY=7006735060 | en_US |
dc.identifier.scopusauthorid | Fan, H=7402553644 | en_US |
dc.identifier.scopusauthorid | Chow, CL=7402578536 | en_US |
dc.identifier.issnl | 0029-5981 | - |