Convergence of conforming finite element methods for general shell problems

DOI10.1016/0020-7225(80)90049-XzbMath0429.73084OpenAlexW2072066276MaRDI QIDQ1137899

Michel Bernadou

Publication date: 1980

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(80)90049-x

zbMATH Keywords

order of convergenceexact integrations

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Membranes (74K15) Numerical integration (65D30)

Related Items

AC0 EIGHT-NODE MEMBRANE-SHEAR-BENDING ELEMENT FOR GEOMETRICALLY NON-LINEAR (STATIC AND DYNAMIC) ANALYSIS OF LAMINATES ⋮ \(\mathcal C^ 1\)-curved finite elements and applications to plate and shell problems ⋮ Sur la convergence des méthodes d'éléments finis nonconformes pour des problèmes linéaires de coques minces. (On the convergence of nonconforming finite element method for linear thin shell problems) ⋮ Approximation of general shell problems by flat plate elements. I ⋮ A penalty duality method for the Budiansky-Sanders shell model ⋮ Approximation of general shell problems by flat plate elements. III: Extension to triangular curved facet elements ⋮ Approximation of general shell problems by flat plate elements. II: Addition of a drilling degree of freedom ⋮ On exact result in the finite element method. ⋮ \({\mathcal C}^ 1\)-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 ⋮ \({\mathcal C}^ 1\)-curved finite elements with numerical integration for thin plate and thin shell problems. II: Approximation of thin plate and thin shell problems ⋮ Numerical analysis of junctions between plates ⋮ Approximation of general arch problems by straight beam elements ⋮ Approximation of a circular cylindrical shell by Clough-Johnson flat plate finite elements

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \({\mathcal C}^ 1\)-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
• Moderate Degree Symmetric Quadrature Rules for the Triangle
• Méthodes d'éléments finis avec intégration numérique pour des problèmes elliptiques du quatrième ordre
• Curved Elements in the Finite Element Method. II
• Equivalent Norms for Sobolev Spaces
• Estimation of Linear Functionals on Sobolev Spaces with Application to Fourier Transforms and Spline Interpolation
• Gaussian quadrature formulas for triangles

This page was built for publication: Convergence of conforming finite element methods for general shell problems