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Article: A rational formulation of isoparametric hybrid stress elements for three-dimensional stress analysis

TitleA rational formulation of isoparametric hybrid stress elements for three-dimensional stress analysis
Authors
Issue Date1990
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/finel
Citation
Finite Elements In Analysis And Design, 1990, v. 7 n. 1, p. 61-72 How to Cite?
AbstractBased on the recently proposed method of energy orthogonality enforcement between the stresses and derived strains from the incompatible displacements, three 8-noded hexahedral hybrid stress elements are derived. Stress interpolants for the elements are expressed in terms of uncoupled functions of the natural coordinates, thus Pian's efficient scheme for inverting the complementary energy matrix is applicable. The choice of energy orthoganality instead of equilibrium as a means to eliminate the parasitic stress components not only resolved the commonly encountered problem of rank deficiency but also presents a more rational approach. Numerical examples are given and the achieved accuracy is satisfactory. All the elements are capable of handling nearly incompressible materials. An optical choice is made by further examining the elements' perfommances in a thin plate problem. © 1990.
Persistent Identifierhttp://hdl.handle.net/10722/156342
ISSN
2015 Impact Factor: 2.175
2015 SCImago Journal Rankings: 1.278

 

DC FieldValueLanguage
dc.contributor.authorSze, KYen_US
dc.contributor.authorChow, CLen_US
dc.contributor.authorWanji, Cen_US
dc.date.accessioned2012-08-08T08:42:04Z-
dc.date.available2012-08-08T08:42:04Z-
dc.date.issued1990en_US
dc.identifier.citationFinite Elements In Analysis And Design, 1990, v. 7 n. 1, p. 61-72en_US
dc.identifier.issn0168-874Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/156342-
dc.description.abstractBased on the recently proposed method of energy orthogonality enforcement between the stresses and derived strains from the incompatible displacements, three 8-noded hexahedral hybrid stress elements are derived. Stress interpolants for the elements are expressed in terms of uncoupled functions of the natural coordinates, thus Pian's efficient scheme for inverting the complementary energy matrix is applicable. The choice of energy orthoganality instead of equilibrium as a means to eliminate the parasitic stress components not only resolved the commonly encountered problem of rank deficiency but also presents a more rational approach. Numerical examples are given and the achieved accuracy is satisfactory. All the elements are capable of handling nearly incompressible materials. An optical choice is made by further examining the elements' perfommances in a thin plate problem. © 1990.en_US
dc.languageengen_US
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/finelen_US
dc.relation.ispartofFinite Elements in Analysis and Designen_US
dc.titleA rational formulation of isoparametric hybrid stress elements for three-dimensional stress analysisen_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-s2.0-0025507291en_US
dc.identifier.volume7en_US
dc.identifier.issue1en_US
dc.identifier.spage61en_US
dc.identifier.epage72en_US
dc.publisher.placeNetherlandsen_US
dc.identifier.scopusauthoridSze, KY=7006735060en_US
dc.identifier.scopusauthoridChow, CL=7402578536en_US
dc.identifier.scopusauthoridWanji, C=6701386210en_US

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