Membrane locking in the finite element computation of very thin elastic shells

DOI10.1051/m2an/1998320201311zbMath0905.73066OpenAlexW2495574150MaRDI QIDQ3839556

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Publication date: 9 February 1999

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193869

zbMATH Keywords

hyperbolic paraboloidpiecewise polynomial functionshigh-order polynomialsfinite element convergence

Mathematics Subject Classification ID

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

Related Items

Boundary layers in thin elastic shells with developable middle surface, Adjusted approximation spaces for the treatment of transverse shear locking in isogeometric Reissner-Mindlin shell analysis, Asymptotic study of the solution for pinched cylindrical shells, Avoiding membrane locking with Regge interpolation, A model problem for boundary layers of thin elastic shells, Asymptotic analysis of bending-dominated shell junctions, The discrete strain gap method and membrane locking

Cites Work

• Stress projection for membrane and shear locking in shell finite elements
• Accuracy of some finite element models for arch problems
• A catenoidal patch test for the inextensional bending of thin shell finite elements
• The problem of membrane locking in finite element analysis of cylindrical shells
• On the locking phenomenon for a class of elliptic problems
• Deterioration of a finite element method for arch structures when thickness goes to zero
• On the rigidity of certains surfaces with folds and applications to shell theory
• Asymptotic and spectral properties of a class of singular-stiff problems
• On Locking and Robustness in the Finite Element Method
• Moderate Degree Symmetric Quadrature Rules for the Triangle
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