\({\mathcal C}^ 1\)-curved finite elements with numerical integration for thin plate and thin shell problems. II: Approximation of thin plate and thin shell problems

DOI10.1016/0045-7825(93)90056-4zbMath0767.73067OpenAlexW1966310303MaRDI QIDQ1802849

Michel Bernadou

Publication date: 29 June 1993

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(93)90056-4

zbMATH Keywords

convergencesufficient conditionsplate bending problemsKoiter model

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Membranes (74K15)

Related Items

\(\mathcal C^ 1\)-curved finite elements and applications to plate and shell problems, Interpolated boundary conditions in plate bending problems using \(C^1\)-curved finite elements, On the effects of using curved elements in the approximation of the Reissner--Mindlin plate by the \(p\) version of the finite element method., Unnamed Item, Finite element linear and nonlinear, static and dynamic analysis of structural elements: a bibliography (1992‐1995), Bernstein-type operators on a triangle with one curved side, \({\mathcal C}^ 1\)-curved finite elements with numerical integration for thin plate and thin shell problems. I: Construction and interpolation properties of curved \({\mathcal C}^ 1\) finite elements, A note on \(C^ 1\)-curved finite element, Curved finite elements of class \(C^ 1\): Implementation and numerical experiments. I: Construction and numerical tests of the interpolation properties

Cites Work

• Convergence of conforming finite element methods for general shell problems
• Curved finite elements of class \(C^ 1\): Implementation and numerical experiments. I: Construction and numerical tests of the interpolation properties
• \({\mathcal C}^ 1\)-curved finite elements with numerical integration for thin plate and thin shell problems. I: Construction and interpolation properties of curved \({\mathcal C}^ 1\) finite elements
• High degree efficient symmetrical Gaussian quadrature rules for the triangle
• Discrete forms of Friedrichs' inequalities in the finite element method
• Moderate Degree Symmetric Quadrature Rules for the Triangle
• Some criteria for numerically integrated matrices and quadrature formulas for triangles
• Estimation of Linear Functionals on Sobolev Spaces with Application to Fourier Transforms and Spline Interpolation
• Gaussian quadrature formulas for triangles
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