Reduced integration, function smoothing and non-conformity in finite element analysis (with special reference to thick plates)

DOI10.1016/0016-0032(76)90035-1zbMath0351.73099OpenAlexW2083345508MaRDI QIDQ1235562

O. C. Zienkiewicz, Ernest Hinton

Publication date: 1976

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(76)90035-1

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (14)

On the equivalence of mode decomposition and mixed finite elements based on the Hellinger-Reissner principle. I: Theory ⋮ A simple four-node quadrilateral finite element for plates ⋮ Developments of Mindlin-Reissner plate elements ⋮ A unified treatment of steady-state shallow water and two-dimensional Navier-Stokes equations. Finite element penalty function approach ⋮ Discretization by finite elements of a model parameter dependent problem ⋮ Viscous incompressible flow by a penalty function finite element method ⋮ An exact element method for the bending of nohomogeneous Reissner's plate ⋮ A six-node finite element for plate bending ⋮ An improved finite element formulation derived from the method of weighted residuals ⋮ Finite element analysis of incompressible viscous flows by the penalty function formulation ⋮ Elimination of spurious modes in finite element analysis ⋮ A Mindlin element for thick and deep shells ⋮ A symbolic Fourier synthesis of a one-point integrated quadrilateral plate element ⋮ A mixed variational principle for finite element analysis

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• Reduced integration technique in general analysis of plates and shells
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