three‐field variational principlepenalty functionequilibrium conditions3D‐mixed element, mesh distortionIn order to improve the accuracy of the mixed element for irregular meshes, a penalty-equilibrating 3D-mixed element based on the Hu-Washizu variational principle has been proposed in this paper. ...
In this paper, it has been proved that the well-known Hu-Washizu variational principle is a pseudo-generalized variational principle (pseudo-GVP). The stationary conditions of its functional may satisfy all its field equations and boundary conditions if all the variables in the functional are ...
This paper deals with simple and effective C0 linear triangular bending elements based on the Hu-Washizu variational principle. The following key features are inherent in the proposed formulation: extensional, flexural and transverse shear strains and the corresponding stresses are referred to the ...
variationalprincipleThe paper has proved that Hellinger-Reissner and Hu-Washizu variational principles are but equivalent principles in elasticity by following three ways: 1) Lagrange multiplier method. The paper points out that only a new independent variable can be introduced when one constraint ...
Hu–Washizu variational principleQuadratic strain interpolation functionsHigh accuracy for coarse meshesInsensitivity towards mesh distortionIn this paper a robust and effective 4-node shell element for the structural analysis of thin structures is described. A Hu鈥揥ashizu functional with independent ...
This study develops new 3d frame element formulations for steel, reinforced concrete and composite structures within the framework of the three field Hu-Washizu variational principle.Lee, ChinLongDissertations & Theses - GradworksLee C-L (2008): Hu-Washizu 3d Frame Formulations Including Bond-Slip ...
By utilizing a modified Hu‐Washizu principle, a new mixed variational framework and a corresponding high‐performing four‐node membrane element with drilling degrees of freedom, named as GCMQ element, are proposed. In this work, the generalized conforming concept, which is originally proposed ...
J. He, Equivalent theorem of hellinger-reissner and hu-washizu variational principles, Journal of Shanghai University (English Edition) 1 (1997) 36-41.Jihuan He Ph. D.. Equivalent theorem of Hellinger-Reissner and Hu-Washizu variational principles[J] 1997,Journal of Shanghai University (...
variational principleelasticityLagrangian multiplierthermodynamicsentropyThere is an open question,namely Chien's question,in construction of a generalized functional in elasticity,i.e.,why the stress-strain relation can still be derived from the Hu-Was... 查看全部>>doi:10.1007/s10483-022-2838-5Bohua...
reinforced concrete and composite structures within the framework of the three field Hu-Washizu variational principle.;The study proposes an explicit definition of the stress field over the element cross section to complement the recent proposal of a consistent variational basis for the mixed formulation...