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Article: Axisymmetric quadrilateral elements for large deformation hyperelastic analysis

TitleAxisymmetric quadrilateral elements for large deformation hyperelastic analysis
Authors
KeywordsEnhanced assumed strain
Finite element method
Hybrid/mixed
Hyperelastic
Large deformation
Stabilization
Volumetric locking
Issue Date2010
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, 2010, v. 6 n. 3, p. 197-207 How to Cite?
AbstractIn this paper, axisymmetric 8-node and 9-node quadrilateral elements for large deformation hyperelastic analysis are devised. To alleviate the volumetric locking which may be encountered in nearly incompressible materials, a volumetric enhanced assumed strain (EAS) mode is incorporated in the eight-node and nine-node uniformly reduced-integrated (URI) elements. To control the compatible spurious zero energy mode in the 9-node element, a stabilization matrix is attained by using a hybrid-strain formulation and, after some simplification, the matrix can be programmed in the element subroutine without resorting to numerical integration. Numerical examples show the relative efficacy of the proposed elements and other popular eight-node elements. In view of the constraint index count, the two elements are analogous to the Q8/3P and Q9/3P elements based on the u-p hybrid/mixed formulation. However, the former elements are more straight forward than the latter elements in both formulation and programming implementation. © 2010 Springer Science+Business Media, B.V.
Persistent Identifierhttp://hdl.handle.net/10722/137344
ISSN
2015 Impact Factor: 1.926
2015 SCImago Journal Rankings: 0.835
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorLiu, GHen_HK
dc.contributor.authorSze, KYen_HK
dc.date.accessioned2011-08-26T14:23:30Z-
dc.date.available2011-08-26T14:23:30Z-
dc.date.issued2010en_HK
dc.identifier.citationInternational Journal Of Mechanics And Materials In Design, 2010, v. 6 n. 3, p. 197-207en_HK
dc.identifier.issn1569-1713en_HK
dc.identifier.urihttp://hdl.handle.net/10722/137344-
dc.description.abstractIn this paper, axisymmetric 8-node and 9-node quadrilateral elements for large deformation hyperelastic analysis are devised. To alleviate the volumetric locking which may be encountered in nearly incompressible materials, a volumetric enhanced assumed strain (EAS) mode is incorporated in the eight-node and nine-node uniformly reduced-integrated (URI) elements. To control the compatible spurious zero energy mode in the 9-node element, a stabilization matrix is attained by using a hybrid-strain formulation and, after some simplification, the matrix can be programmed in the element subroutine without resorting to numerical integration. Numerical examples show the relative efficacy of the proposed elements and other popular eight-node elements. In view of the constraint index count, the two elements are analogous to the Q8/3P and Q9/3P elements based on the u-p hybrid/mixed formulation. However, the former elements are more straight forward than the latter elements in both formulation and programming implementation. © 2010 Springer Science+Business Media, B.V.en_HK
dc.languageengen_US
dc.publisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=1569-1713en_HK
dc.relation.ispartofInternational Journal of Mechanics and Materials in Designen_HK
dc.rightsThe original publication is available at www.springerlink.com-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectEnhanced assumed strainen_HK
dc.subjectFinite element methoden_HK
dc.subjectHybrid/mixeden_HK
dc.subjectHyperelasticen_HK
dc.subjectLarge deformationen_HK
dc.subjectStabilizationen_HK
dc.subjectVolumetric lockingen_HK
dc.titleAxisymmetric quadrilateral elements for large deformation hyperelastic analysisen_HK
dc.typeArticleen_HK
dc.identifier.emailSze, KY:szeky@graduate.hku.hken_HK
dc.identifier.authoritySze, KY=rp00171en_HK
dc.description.naturepreprint-
dc.identifier.doi10.1007/s10999-010-9129-zen_HK
dc.identifier.scopuseid_2-s2.0-77958104037en_HK
dc.identifier.hkuros191238en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-77958104037&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume6en_HK
dc.identifier.issue3en_HK
dc.identifier.spage197en_HK
dc.identifier.epage207en_HK
dc.identifier.isiWOS:000208420400002-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridLiu, GH=35320145100en_HK
dc.identifier.scopusauthoridSze, KY=7006735060en_HK
dc.identifier.citeulike7773952-

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