The mathematical shell model underlying general shell elements

DOI<289::AID-NME897>3.0.CO;2-8 10.1002/(SICI)1097-0207(20000520)48:2<289::AID-NME897>3.0.CO;2-8zbMath0991.74067OpenAlexW1981373044MaRDI QIDQ4493836

Klaus-Jürgen Bathe, Dominique Chapelle

Publication date: 28 August 2002

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(20000520)48:2<289::aid-nme897>3.0.co;2-8

zbMATH Keywords

convergencefinite element discretizationasymptotic behaviourshell modelNaghdi modelgeneral shell elementdegenerate solid

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (15)

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 ⋮ Development of shear locking-free shell elements using an enhanced assumed strain formulation ⋮ A global-local discontinuous Galerkin shell finite element for small-deformation analysis of multi-layered composites ⋮ Strong convergence results for the asymptotic behavior of the 3D-shell model ⋮ A new one-point quadrature enhanced assumed strain (EAS) solid-shell element with multiple integration points along thickness: Part I-geometrically linear applications ⋮ Reissner-Mindlin shell theory based on tangential differential calculus ⋮ A new volumetric and shear locking‐free 3D enhanced strain element ⋮ On the classical shell model underlying bilinear degenerated shell finite elements ⋮ The quadratic MITC plate and MITC shell elements in plate bending ⋮ MODELING OF THE INCLUSION OF A REINFORCING SHEET WITHIN A 3D MEDIUM ⋮ 3D-SHELL ELEMENTS AND THEIR UNDERLYING MATHEMATICAL MODEL ⋮ Asymptotic considerations shedding light on incompressible shell models ⋮ The treatment of “pinching locking” in3D-shell elements ⋮ A new linear Naghdi type shell model for shells with little regularity

Cites Work

• Unnamed Item
• On the locking phenomenon for a class of elliptic problems
• Fundamental considerations for the finite element analysis of shell structures

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