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#### Conference Paper: Hybrid finite element formulation in plane elasticity by using complex variable function

Title Hybrid finite element formulation in plane elasticity by using complex variable function Cheung, YKChen, YZ 1991 Computational Mechanics, 1991, p. 1149-1155 How to Cite? It is pointed out that, if the equilibrium and compatible displacement-stress field is used in the hybrid finite element formulation, the 3-D integrals involved in a 3-D problem can be reduced to 2-D integrals, and 2-D integrals involved in a 2-D problem to line integrals. Using the polynomials of z=x+iy to be the complex potentials in plane elasticity, the equilibrium and compatible displacement-stress field within the element is obtainable. A square element using hybrid finite element formulation and complex variable function is suggested. Several numerical examples are given to prove the efficiency of the proposed formulation. http://hdl.handle.net/10722/152092

DC FieldValueLanguage
dc.contributor.authorCheung, YKen_US
dc.contributor.authorChen, YZen_US
dc.date.accessioned2012-06-26T06:35:09Z-
dc.date.available2012-06-26T06:35:09Z-
dc.date.issued1991en_US
dc.identifier.citationComputational Mechanics, 1991, p. 1149-1155en_US
dc.identifier.urihttp://hdl.handle.net/10722/152092-
dc.description.abstractIt is pointed out that, if the equilibrium and compatible displacement-stress field is used in the hybrid finite element formulation, the 3-D integrals involved in a 3-D problem can be reduced to 2-D integrals, and 2-D integrals involved in a 2-D problem to line integrals. Using the polynomials of z=x+iy to be the complex potentials in plane elasticity, the equilibrium and compatible displacement-stress field within the element is obtainable. A square element using hybrid finite element formulation and complex variable function is suggested. Several numerical examples are given to prove the efficiency of the proposed formulation.en_US
dc.languageengen_US
dc.relation.ispartofComputational Mechanicsen_US
dc.titleHybrid finite element formulation in plane elasticity by using complex variable functionen_US
dc.typeConference_Paperen_US
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_US
dc.identifier.authorityCheung, YK=rp00104en_US