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The least‐squares finite element method in elasticity. Part II: Bending of thin plates
Author(s) -
Jiang Bonan
Publication year - 2002
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.474
Subject(s) - finite element method , bending moment , deflection (physics) , mathematics , structural engineering , elasticity (physics) , compatibility (geochemistry) , rate of convergence , mathematical analysis , bending of plates , engineering , bending , materials science , physics , composite material , classical mechanics , channel (broadcasting) , electrical engineering
A least‐squares finite element method (LSFEM) for bending problems of thin plates is developed. This LSFEM is based on the first‐order deflection‐slope‐moment‐shear force formulation. Four compatibility conditions are added into the first‐order system; thus, the method can accommodate all kinds of equal‐order interpolations. Numerical experiments on various examples show that the method achieves an optimal rate of convergence for all eight variables. Copyright © 2002 John Wiley & Sons, Ltd.