3D-SHELL ELEMENTS AND THEIR UNDERLYING MATHEMATICAL MODEL

DOI10.1142/S0218202504003179zbMath1058.74078OpenAlexW2072812173MaRDI QIDQ3043602

Klaus-Jürgen Bathe, Anca Ferent, Dominique Chapelle

Publication date: 6 August 2004

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202504003179

zbMATH Keywords

asymptotic behaviorlockingthrough-the-thickness normal stress

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 (6)

A scaled boundary shell element formulation using Neumann expansion ⋮ A quadrilateral shell element with degree of freedom to represent thickness-stretch ⋮ Strong convergence results for the asymptotic behavior of the 3D-shell model ⋮ Asymptotic considerations shedding light on incompressible shell models ⋮ The treatment of “pinching locking” in3D-shell elements ⋮ A SURFACE-BASED ELECTROPHYSIOLOGY MODEL RELYING ON ASYMPTOTIC ANALYSIS AND MOTIVATED BY CARDIAC ATRIA MODELING

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• The mathematical shell model underlying general shell elements
• Analysis of a bilinear finite element for shallow shells I: Approximation of inextensional deformations
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