\({\mathcal C}^ 1\)-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

DOI10.1016/0045-7825(93)90111-AzbMath0767.73066OpenAlexW1998845007MaRDI QIDQ1802843

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)90111-a

zbMATH Keywords

curved boundaryassociate straight elementsasymptotic interpolation error

Mathematics Subject Classification ID

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

Related Items (9)

\(\mathcal C^ 1\)-curved finite elements and applications to plate and shell problems ⋮ Interpolated boundary conditions in plate bending problems using \(C^1\)-curved finite elements ⋮ Convergence of conforming finite element methods for general shell problems ⋮ On the effects of using curved elements in the approximation of the Reissner--Mindlin plate by the \(p\) version of the finite element method. ⋮ 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. II: Approximation of thin plate and thin shell problems ⋮ 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

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