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Asymptotic post‐buckling analysis of rectangular plates by HC finite elements
Author(s) -
Lanzo Antonio D.,
Garcea Giovanni,
Casciaro Raffaele
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.1620381403
Subject(s) - discretization , finite element method , polygon mesh , perturbation (astronomy) , buckling , mathematics , singular perturbation , numerical analysis , consistency (knowledge bases) , mathematical analysis , structural engineering , geometry , engineering , physics , quantum mechanics
Abstract The present paper extends the finite element perturbation approach already presented for pin‐jointed and framed structures 15 to rectangular thin plates. Koiter's asymptotic strategy 2 is coupled with a High‐Continuity finite element discretization of the plate. 22 The consistency of the discrete model is discussed from the kinematical and numerical points of view and several numerical tests are reported. It appears that use of the HC elements makes the perturbation algorithm insensitive to the locking phenomenon occurring in the evaluation of the postbuckling behaviour. It also allows the use of very fine discretization meshes at low computational cost.