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A nine node finite element for analysis of geometrically non‐linear shells
Author(s) -
Rhiu J. J.,
Lee S. W.
Publication year - 1988
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.1620260905
Subject(s) - finite element method , mixed finite element method , finite element limit analysis , extended finite element method , smoothed finite element method , extended discrete element method , spurious relationship , kinematics , mathematics , mathematical analysis , shell (structure) , node (physics) , deflection (physics) , geometry , structural engineering , physics , engineering , boundary knot method , classical mechanics , mechanical engineering , statistics , boundary element method
Abstract A nine node finite element is presented for the analysis of thin shell structures undergoing large deflection. The finite element formulation is based on the concept of degenerate solid shell element and the Hellinger‐Reissner principle with independent strain. Three versions of assumed independent strain are selected to suppress spurious kinematic modes. One version leads to a finite element model which is kinematically stable at element level while the other two give globally stable models. Numerical tests indicate that the finite element model which is stable at element level may reveal the locking effect in certain cases. However, the other two models are free of locking.