Approximation of a circular cylindrical shell by Clough-Johnson flat plate finite elements

DOI10.1007/BF01398689zbMath0562.73067OpenAlexW2025142877MaRDI QIDQ1057114

Y. Ducatel, Michel Bernadou, Pascal Trouvé

Publication date: 1988

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133232

zbMATH Keywords

convergencecompatibility conditionsnonconforming methodClough-Johnson flat plate finite elementsparticular families of triangulationsright circular cylindrical shell

Mathematics Subject Classification ID

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

Related Items (7)

An alternating direction implicit fractional trapezoidal rule type difference scheme for the two-dimensional fractional evolution equation ⋮ An asymptotic analysis method for the linearly shell theory ⋮ Approximation of general shell problems by flat plate elements. I ⋮ A Crank-Nicolson-type finite-difference scheme and its algorithm implementation for a nonlinear partial integro-differential equation arising from viscoelasticity ⋮ Approximation of shell geometry for nonlinear analysis ⋮ Approximation of shell geometry for nonlinear analysis ⋮ A formally second order BDF ADI difference scheme for the three-dimensional time-fractional heat equation

Cites Work

• Convergence of conforming finite element methods for general shell problems
• On the validity of the finite element analysis of circular arches represented by an assemblage of beam elements
• Approximation of general arch problems by straight beam elements
• A finite element approximation for the analysis of thin shells
• Basis functions for general Hsieh-Clough-Tocher triangles, complete or reduced
• A simple flat triangular shell element revisited
• A simple triangular facet shell element with applications to linear and non-linear equilibrium and elastic stability problems
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