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Article: A mixed formulation of a four-node mindlin shell/plate with interpolated covariant transverse shear strains

TitleA mixed formulation of a four-node mindlin shell/plate with interpolated covariant transverse shear strains
Authors
Issue Date1991
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/compstruc
Citation
Computers And Structures, 1991, v. 40 n. 3, p. 775-784 How to Cite?
AbstractA four-node Mindlin/Reissner shell element based on interpolation of the covariant transverse shear strains and assumed bending and membrane stresses is developed using the Hellinger-Reissner principle. For general shell geometry, the coupling entries of the bending and membrane stress components in the complementary energy matrix do not vanish. However, numerical investigations indicate that when the above coupling matrix entries are artificially set to zero, the finite element predictions of the element remain virtually unchanged. The resulting element is more efficient than the former one and only two 5×5 symmetric matrices are required to be inverted. Both elements are able to strictly pass various bending, transverse shear and stretching patch tests when they take up flat plate geometry. Two point quadrature is sufficient to integrate the element matrices without triggering any spurious kinematic modes. A number of numerical examples are given and the achieved accuracy and convergence are satisfactory. © 1991.
Persistent Identifierhttp://hdl.handle.net/10722/156347
ISSN
2015 Impact Factor: 2.425
2015 SCImago Journal Rankings: 1.710

 

DC FieldValueLanguage
dc.contributor.authorSze, KYen_US
dc.contributor.authorChow, CLen_US
dc.date.accessioned2012-08-08T08:42:05Z-
dc.date.available2012-08-08T08:42:05Z-
dc.date.issued1991en_US
dc.identifier.citationComputers And Structures, 1991, v. 40 n. 3, p. 775-784en_US
dc.identifier.issn0045-7949en_US
dc.identifier.urihttp://hdl.handle.net/10722/156347-
dc.description.abstractA four-node Mindlin/Reissner shell element based on interpolation of the covariant transverse shear strains and assumed bending and membrane stresses is developed using the Hellinger-Reissner principle. For general shell geometry, the coupling entries of the bending and membrane stress components in the complementary energy matrix do not vanish. However, numerical investigations indicate that when the above coupling matrix entries are artificially set to zero, the finite element predictions of the element remain virtually unchanged. The resulting element is more efficient than the former one and only two 5×5 symmetric matrices are required to be inverted. Both elements are able to strictly pass various bending, transverse shear and stretching patch tests when they take up flat plate geometry. Two point quadrature is sufficient to integrate the element matrices without triggering any spurious kinematic modes. A number of numerical examples are given and the achieved accuracy and convergence are satisfactory. © 1991.en_US
dc.languageengen_US
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/compstrucen_US
dc.relation.ispartofComputers and Structuresen_US
dc.titleA mixed formulation of a four-node mindlin shell/plate with interpolated covariant transverse shear strainsen_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-s2.0-0025724307en_US
dc.identifier.volume40en_US
dc.identifier.issue3en_US
dc.identifier.spage775en_US
dc.identifier.epage784en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridSze, KY=7006735060en_US
dc.identifier.scopusauthoridChow, CL=7402578536en_US

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