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Article: Hybrid element method for incompressible and nearly incompressible materials

TitleHybrid element method for incompressible and nearly incompressible materials
Authors
Issue Date1989
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijsolstr
Citation
International Journal Of Solids And Structures, 1989, v. 25 n. 5, p. 483-495 How to Cite?
AbstractA new hybrid element method suitable for problems with different Poisson's ratios, including incompressible and nearly incompressible materials is proposed. This hybrid model does not exhibit any locking phenomenon for nearly incompressible materials and is capable of producing correct displacement and stress solutions in the case of uniform stress and zero displacement state for incompressible materials. In addition, the model has other favourable characteristics such as having no extra zero energy modes, being coordinate invariant, possessing high accuracy and requiring simple manipulations in the formulation. A new variational functional suitable for different Poisson's ratios is proposed here. This functional is given in terms of a number of independent variables which include two stresses, one strain, two displacements and two average compressive stresses. A plane strain quadrilateral element Q4-LL can be established based on the proposed hybrid element method. Through a scries of worked examples it is demonstrated that the element can be used for various Poisson's ratios, possesses high accuracy and will not exhibit locking. By comparing the proposed element with existing elements for incompressible and nearly incompressible materials, it is possible to determine their relationship and to establish the fact that the hybrid method is a unified method incorporating many displacement models. © 1989.
Persistent Identifierhttp://hdl.handle.net/10722/149931
ISSN
2015 Impact Factor: 2.081
2015 SCImago Journal Rankings: 1.597

 

DC FieldValueLanguage
dc.contributor.authorCheung, YKen_US
dc.contributor.authorChen, Wen_US
dc.date.accessioned2012-06-26T06:00:38Z-
dc.date.available2012-06-26T06:00:38Z-
dc.date.issued1989en_US
dc.identifier.citationInternational Journal Of Solids And Structures, 1989, v. 25 n. 5, p. 483-495en_US
dc.identifier.issn0020-7683en_US
dc.identifier.urihttp://hdl.handle.net/10722/149931-
dc.description.abstractA new hybrid element method suitable for problems with different Poisson's ratios, including incompressible and nearly incompressible materials is proposed. This hybrid model does not exhibit any locking phenomenon for nearly incompressible materials and is capable of producing correct displacement and stress solutions in the case of uniform stress and zero displacement state for incompressible materials. In addition, the model has other favourable characteristics such as having no extra zero energy modes, being coordinate invariant, possessing high accuracy and requiring simple manipulations in the formulation. A new variational functional suitable for different Poisson's ratios is proposed here. This functional is given in terms of a number of independent variables which include two stresses, one strain, two displacements and two average compressive stresses. A plane strain quadrilateral element Q4-LL can be established based on the proposed hybrid element method. Through a scries of worked examples it is demonstrated that the element can be used for various Poisson's ratios, possesses high accuracy and will not exhibit locking. By comparing the proposed element with existing elements for incompressible and nearly incompressible materials, it is possible to determine their relationship and to establish the fact that the hybrid method is a unified method incorporating many displacement models. © 1989.en_US
dc.languageengen_US
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijsolstren_US
dc.relation.ispartofInternational Journal of Solids and Structuresen_US
dc.titleHybrid element method for incompressible and nearly incompressible materialsen_US
dc.typeArticleen_US
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_US
dc.identifier.authorityCheung, YK=rp00104en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0024936887en_US
dc.identifier.volume25en_US
dc.identifier.issue5en_US
dc.identifier.spage483en_US
dc.identifier.epage495en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridCheung, YK=7202111065en_US
dc.identifier.scopusauthoridChen, W=8503539200en_US

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