A finite element model for Mindlin plates

DOI10.1007/BF00350160zbMath0731.73084OpenAlexW1980791266MaRDI QIDQ808870

Stefano Alliney, R. S. Carnicer

Publication date: 1991

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00350160

zbMATH Keywords

Reissner-Mindlin theorypotential functionsleast square penalty term

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Optimization of other properties in solid mechanics (74P10)

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Cites Work

• Finite element approximation of the Navier-Stokes equations
• A three-node Mindlin plate element with improved transverse shear
• A stable finite element for the Stokes equations
• A modified representation of transverse shear in \(C^ 0\) quadrilateral plate elements
• Studies in plate flexure. I: A mixed finite element formulation for Reissner-Mindlin plate theory: Uniform convergence of all higher-order spaces
• A quadratic mindlin element using shear constraints
• A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation
• Mixed-interpolated elements for Reissner-Mindlin plates
• Numerical Approximation of Mindlin-Reissner Plates
• An explicit formulation for an efficient triangular plate-bending element
• A stabilization procedure for the quadrilateral plate element with one‐point quadrature
• A simple and efficient finite element for plate bending
• Reduced integration technique in general analysis of plates and shells
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