Triangular, nine-degrees-of-freedom, 𝐶⁰ plate bending element of quadratic accuracy

DOI10.1090/qam/99699zbMath0274.73038OpenAlexW2561107683MaRDI QIDQ5183153

Shok Keng Yang, Isaac Fried

Publication date: 1973

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/99699

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (12)

Minimal-degree thin triangular plate and shell bending finite elements of order two and four ⋮ On the equivalence of mode decomposition and mixed finite elements based on the Hellinger-Reissner principle. I: Theory ⋮ Analysis of some low-order finite element schemes for Mindlin-Reissner and Kirchhoff plates ⋮ An improved treatment of transverse shear in the Mindlin-type four-node quadrilateral element ⋮ \(h\)-and \(d\)-adaptive FE methods for two-dimensional structural problems including post-buckling of shells ⋮ Improving stability and accuracy of Reissner--Mindlin plate finite elements via algebraic subgrid scale stabilization ⋮ A posteriori error analysis for conforming MITC elements for Reissner-Mindlin plates ⋮ Analysis of some low order quadrilateral Reissner-Mindlin plate elements ⋮ Finite element convergence for singular data ⋮ A three-node Mindlin plate element with improved transverse shear ⋮ A Kirchhoff-mode method for \(C^ 0\) bilinear and Serendipity plate elements ⋮ Mesh adaptations for linear 2D finite-element discretizations in structural mechanics, especially in thin shell analysis

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