Explanation of locking of four‐node plane element by considering it as elastic Dirichlet‐type boundary value problem

DOI<link itemprop=identifier href="https://doi.org/10.1002/1096-9853(200011)24:13<1013::AID-NAG109>3.0.CO;2-Q" /><1013::AID-NAG109>3.0.CO;2-Q 10.1002/1096-9853(200011)24:13<1013::AID-NAG109>3.0.CO;2-QzbMath1005.74069OpenAlexW2616006648MaRDI QIDQ4528435

E. B. Lewis, Frans Molenkamp, J. B. Sellmeijer, C. B. Sharma

Publication date: 19 February 2003

Full work available at URL: https://doi.org/10.1002/1096-9853(200011)24:13<1013::aid-nag109>3.0.co;2-q

zbMATH Keywords

stabilityDirichlet problemexistenceanalytical solutionuniquenessbifurcationlockingisotropic linear elasticitydilative materialhour-glass modeinfinite isotropic stressesplane four-node element

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)

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On the uniqueness of solutions for the Dirichlet boundary value problem of linear elastostatics in the circular domain ⋮ Fractal approach applied to calculate hour-glass eigenvalue of elastic square 4-node quad ⋮ Analysis of natural in-plane vibration of rectangular plates using homotopy perturbation approach

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