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A polygonal finite element for plate bending problems using the assumed stress approach
Author(s) -
Alwood R. J.,
Cornes G. M. M.
Publication year - 1969
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.1620010202
Subject(s) - bending of plates , finite element method , bending , stress (linguistics) , convergence (economics) , mathematics , stiffness matrix , bending stiffness , geometry , mixed finite element method , stiffness , element (criminal law) , matrix (chemical analysis) , mathematical analysis , structural engineering , materials science , engineering , composite material , linguistics , philosophy , political science , economics , law , economic growth
The assumed stress distribution approach is used to derive the stiffness matrix of a plate‐bending element of general polygonal shape having any number of nodes. The effect of assuming various numbers of unknown coefficients in the stress distributions is examined and the convergence properties of the resulting elements compared with others derived form assumed displacements.