Analysis of a bilinear finite element for shallow shells. II: Consistency error

DOI10.1090/S0025-5718-03-01508-4zbMath1113.74423MaRDI QIDQ4417152

Juhani Pitkäranta, Ville Havu

Publication date: 28 July 2003

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

finite elementsshellslocking

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

Approximation of shell layers using bilinear elements on anisotropically refined rectangular meshes, Benchmark computations on point-loaded shallow shells: Fourier vs. FEM, The quadratic MITC plate and MITC shell elements in plate bending, Bilinear finite elements for shells: Isoparametric quadrilaterals, AN INTERPOLATION THEORY APPROACH TO SHELL EIGENVALUE PROBLEMS, A Reduction Approximation Method for Curved Rods, Benchmark Computations of Stresses in a Spherical Dome with Shell Finite Elements

Cites Work

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• A formulation of general shell elements—the use of mixed interpolation of tensorial components
• Analysis of a bilinear finite element for shallow shells I: Approximation of inextensional deformations