Control of spurious modes in the nine-node quadrilateral element

DOI10.1002/nme.1620181012zbMath0489.73075OpenAlexW2118321292MaRDI QIDQ3951682

Zhaohua Feng, Robert D. Cook

Publication date: 1982

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620181012

zbMATH Keywords

modes2x2 Gauss quadraturenine-node quadrilateralspurious low-energy modes

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05)

Related Items (6)

On the equivalence of mode decomposition and mixed finite elements based on the Hellinger-Reissner principle. I: Theory ⋮ New improved hourglass control for bilinear and trilinear elements in anisotropic linear elasticity ⋮ Numerical integration with Taylor truncations for the quadrilateral and hexahedral finite elements ⋮ A consistent control of spurious singular modes in the 9-node Lagrange element for the Laplace and Mindlin plate equations ⋮ The \(C^ 0\) shell plate and beam elements freed from their deficiencies ⋮ Mixed variational principles and stabilization of spurious modes in the 9-node element

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