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Refined nine‐parameter triangular thin plate bending element by using refined direct stiffness method
Author(s) -
Cheung Y. K.,
Wanji Chen
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.1620380208
Subject(s) - bending of plates , convergence (economics) , stiffness , bending , bending stiffness , finite element method , structural engineering , constraint (computer aided design) , mathematics , element (criminal law) , yield (engineering) , plate theory , mathematical analysis , materials science , geometry , engineering , composite material , political science , economics , law , economic growth
Based on a new generalized variational principle, a refined direct stiffness method (RDSM) which can be directly used to improve non‐conforming elements is proposed. The formulation is similar to that of the direct stiffness method (DSM), but the constraint condition of interelement continuity is satisfied in an average sense and as a result convergence and high accuracy are insured. The well‐known BCIZ nine‐parameter triangular thin plate bending element is refined by the RDSM to yield a new nine‐parameter thin plate bending element RT 9 . Numerical examples are presented to show that the present model passes the patch test and possesses high accuracy.