The first locking-free plane elastic finite element: Historia mathematica

DOI10.1016/S0045-7825(00)00163-8zbMath0983.74068MaRDI QIDQ1841016

Juhani Pitkäranta

Publication date: 23 April 2002

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

zbMATH Keywords

stabilizationenergy normtwo-dimensional elasticityconsistency errorapproximation errorhomogeneous isotropic materialconforming bilinear quadrilateral finite elementnumerical strain reductionparametric locking effectTurner rectangle

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (5)

Finite element linear and nonlinear, static and dynamic analysis of structural elements, an addendum ⋮ Approximation of shell layers using bilinear elements on anisotropically refined rectangular meshes ⋮ Bilinear finite elements for shells: Isoparametric quadrilaterals ⋮ Analysis of a bilinear finite element for shallow shells. II: Consistency error ⋮ Benchmark Computations of Stresses in a Spherical Dome with Shell Finite Elements

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