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Article: Modified and Trefftz unsymmetric finite element models

TitleModified and Trefftz unsymmetric finite element models
Authors
Issue Date2016
PublisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=1569-1713
Citation
International Journal of Mechanics and Materials in Design, 2016, v. 12 n. 1, p. 53-70 How to Cite?
AbstractThe unsymmetric finite element method employs compatible test functions but incompatible trial functions. The pertinent 8-node quadrilateral and 20-node hexahedron unsymmetric elements possess exceptional immunity to mesh distortion. It was noted later that they are not invariant and the proposed remedy is to formulate the element stiffness matrix in a local frame and then transform the matrix back to the global frame. In this paper, a more efficient approach will be proposed to secure the invariance. To our best knowledge, unsymmetric 4-node quadrilateral and 8-node hexahedron do not exist. They will be devised by using the Trefftz functions as the trial function. Numerical examples show that the two elements also possess exceptional immunity to mesh distortion with respect to other advanced elements of the same nodal configurations.
Persistent Identifierhttp://hdl.handle.net/10722/220627
ISSN
2015 Impact Factor: 1.926
2015 SCImago Journal Rankings: 0.835

 

DC FieldValueLanguage
dc.contributor.authorXie, Q-
dc.contributor.authorSze, KY-
dc.contributor.authorZhou, YX-
dc.date.accessioned2015-10-16T06:47:33Z-
dc.date.available2015-10-16T06:47:33Z-
dc.date.issued2016-
dc.identifier.citationInternational Journal of Mechanics and Materials in Design, 2016, v. 12 n. 1, p. 53-70-
dc.identifier.issn1569-1713-
dc.identifier.urihttp://hdl.handle.net/10722/220627-
dc.description.abstractThe unsymmetric finite element method employs compatible test functions but incompatible trial functions. The pertinent 8-node quadrilateral and 20-node hexahedron unsymmetric elements possess exceptional immunity to mesh distortion. It was noted later that they are not invariant and the proposed remedy is to formulate the element stiffness matrix in a local frame and then transform the matrix back to the global frame. In this paper, a more efficient approach will be proposed to secure the invariance. To our best knowledge, unsymmetric 4-node quadrilateral and 8-node hexahedron do not exist. They will be devised by using the Trefftz functions as the trial function. Numerical examples show that the two elements also possess exceptional immunity to mesh distortion with respect to other advanced elements of the same nodal configurations.-
dc.languageeng-
dc.publisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=1569-1713-
dc.relation.ispartofInternational Journal of Mechanics and Materials in Design-
dc.rightsThe final publication is available at Springer via http://dx.doi.org/10.1007/s10999-014-9289-3-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titleModified and Trefftz unsymmetric finite element models-
dc.typeArticle-
dc.identifier.emailSze, KY: kysze@hku.hk-
dc.identifier.authoritySze, KY=rp00171-
dc.description.naturepostprint-
dc.identifier.doi10.1007/s10999-014-9289-3-
dc.identifier.hkuros256120-
dc.identifier.volume12-
dc.identifier.issue1-
dc.identifier.spage53-
dc.identifier.epage70-
dc.publisher.placeNetherlands-

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