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On a simple triangular reissner/mindlin plate element based on incompatible modes and discrete constraints
Author(s) -
Batoz JeanLouis,
Katili Irwan
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.1620350805
Subject(s) - bending moment , bending of plates , shear (geology) , element (criminal law) , mathematics , collocation (remote sensing) , mathematical analysis , constant (computer programming) , bending , geometry , structural engineering , engineering , materials science , computer science , machine learning , political science , law , composite material , programming language
In this paper the formulation of a new triangular element based on the Reissner/Mindlin plate theory is presented. The element has three nodes and three d.o.f. per node only. It is based on constant bending modes plus incompatible energy orthogonal higher order bending modes. The transverse shear effects are represented using the moment equilibrium and the constitutive equations. Discrete (collocation) shear constraints are considered on each side to relate the kinematical and the independent shear strains. The element has a proper rank, is completely locking free, passes all constant patch‐tests exactly. The detailed numerical evaluation shows that the element, called DST‐BK, is a robust and high‐performance element for thick and thin plates.