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A triangular element based on Reissner‐Mindlin plate theory
Author(s) -
Papadopoulos Panayiotis,
Taylor Robert L.
Publication year - 1990
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.1620300506
Subject(s) - plate theory , bending of plates , mathematics , transverse shear , interpolation (computer graphics) , element (criminal law) , mathematical analysis , variational principle , shear (geology) , finite element method , constraint (computer aided design) , series (stratigraphy) , bending , geometry , structural engineering , classical mechanics , engineering , physics , materials science , boundary value problem , geology , motion (physics) , paleontology , political science , law , composite material
A new triangular plate bending element based on the Reissner‐Mindlin theory is developed through a mixed formulation emanating from the Hu‐Washizu variational principle. A main feature of the formulation is the use of a linear transverse shear interpolation scheme with discrete constraint conditions on the edges. The element is shown to avoid shear locking, converge to the Kirchhoff plate theory as the plate thickness approaches zero, and generally exhibit excellent behaviour on a series of standard problems and tests.