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Refined 9‐Dof triangular Mindlin plate elements
Author(s) -
Wanji Chen,
Cheung Y. K.
Publication year - 2001
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.196
Subject(s) - plate theory , shear (geology) , displacement (psychology) , element (criminal law) , finite element method , mathematical analysis , zero point energy , strain energy , geometry , structural engineering , mathematics , physics , engineering , materials science , composite material , psychology , political science , law , psychotherapist , quantum mechanics
Based on the Mindlin/Reissner plate theory, two refined triangular thin/thick plate elements, the conforming displacement element DKTM with one point quadrature for the part of shear strain and the element RDKTM with the re‐constitution of the shear strain, are proposed. In the formulations the exact displacement function of the Timoshenko's beam is used to derive the element displacements of the refined elements. Numerical examples are presented to show that the present models indeed possess properties of high accuracy for thin and thick plates, is capable of passing the patch test required for Kirchhoff thin plate elements, and does not exhibits extra zero energy modes. The element RDKTM is free of locking for very thin plate analysis and its convergence can be ensured theoretically. However, the element DKTM is not free of shear locking when the thickness/span ratios less than 10 −2 . Copyright © 2001 John Wiley & Sons, Ltd.