On the limits of finite element perfectability

DOI10.1002/nme.1620350804zbMath0768.73076OpenAlexW2133389634MaRDI QIDQ4029474

Richard H. MacNeal

Publication date: 31 March 1993

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620350804

zbMATH Keywords

modal analysisfour-noded membrane elementelement's basis functions

Mathematics Subject Classification ID

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

Related Items (8)

Derivation of a rectangular finite element for potential problems from consistency criteria ⋮ An unsymmetric 4-node, 8-DOF plane membrane element perfectly breaking through MacNeal's theorem ⋮ Hourglassing‐ and locking‐free mesh distortion insensitive Petrov–Galerkin EAS element for large deformation solid mechanics ⋮ Extension of the unsymmetric 8‐node hexahedral solid element <scp>US‐ATFH8</scp> to <scp>3D</scp> hyper‐elastic finite deformation analysis ⋮ On convergence of nonconforming convex quadrilateral finite elements AGQ6 ⋮ Finite element linear and nonlinear, static and dynamic analysis of structural elements: a bibliography (1992‐1995) ⋮ On shape sensitivity and patch test requirements of incompatible quadrilateral elements in physical coordinates ⋮ Solid finite elements through three decades.

Cites Work

• Finite Elements Based Upon Mindlin Plate Theory With Particular Reference to the Four-Node Bilinear Isoparametric Element

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