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An assessment of four‐noded plate finite elements based on a generalized third‐order theory
Author(s) -
Averill R. C.,
Reddy J. N.
Publication year - 1992
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620330802
Subject(s) - plate theory , finite element method , structural engineering , isotropy , bending of plates , vibration , mathematics , spurious relationship , third order , distortion (music) , bending , engineering , mathematical analysis , physics , amplifier , statistics , cmos , quantum mechanics , electronic engineering , philosophy , theology
Plate finite elements based on the generalized third‐order theory of Reddy and the first‐order shear deformation theory are analysed and compared on the basis of thick and thin plate modelling behaviour, distortion sensitivity, overall accuracy, reliability and efficiency. In particular, several four‐noded Reddy‐type elements and the nine‐noded Lagrangian and heterosis (Mindlin‐type) plate elements are analysed to assess their behaviour in bending, vibration and stability of isotropic and laminated composite plates. A four‐noded Reddy‐type element is identified which is free of all spurious stiffness and zero energy modes, computationally efficient, and suitable for use in any general‐purpose finite element program.