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Reduced minimization of Mindlin plate
Author(s) -
OakKey Min,
YongWoo Kim
Publication year - 1994
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.1620372409
Subject(s) - quadrilateral , minification , spurious relationship , displacement field , mathematics , shear (geology) , displacement (psychology) , shear stress , mathematical analysis , finite element method , structural engineering , mathematical optimization , mechanics , engineering , physics , geology , petrology , psychology , statistics , psychotherapist
The use of inconsistent displacement fields for Mindlin plate elements causes unmatched coefficients to appear in shear strain interpolations. The role of the numerical integration order in relation to these unmatched coefficients, and the existence of optimal stress points are explained through the use of the reduced minimization concept. This concept makes it possible to test whether assumed displacement fields or shear strain fields result in inconsistent strain fields which contain spurious constraints. We have included applications of reduced minimization to the conventional C 0 ‐continuous elements, which employ reduced integration, and to quadrilateral Mindlin plate elements of Hinton and Huang to demonstrate how these elements alleviate shear locking.