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Reduced minimization in Lagrangian Mindlin plate element with arbitrary orientation under uniform isoparametric mapping
Author(s) -
YongWoo Kim,
OakKey Min
Publication year - 1995
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.1620381209
Subject(s) - spurious relationship , shear (geology) , minification , lagrangian , mathematics , distortion (music) , finite element method , mathematical analysis , displacement (psychology) , plate theory , geometry , structural engineering , mathematical optimization , physics , materials science , engineering , boundary value problem , psychology , amplifier , statistics , composite material , psychotherapist , optoelectronics , cmos
For the displacement‐based Lagrangian Mindlin plate elements oriented arbitrarily under uniform isoparametric mapping without internal distortion, a theoretical interpretation on the conventional shear‐reduced integration is presented by introducing the concept of reduced minimization. It reveals that the conventional shear‐reduced integration such as URI and SRI prevents the unmatched coefficients of shear strains from becoming spurious constraints. Thus, the shear‐reduced integration eliminates spurious constraints and prevents locking.