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Finite element representation and pressure stiffness in shell stability analysis
Author(s) -
Loganathan K.,
Chang S. C.,
Gallagher R. H.,
Abel J. G.
Publication year - 1979
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.1620140912
Subject(s) - finite element method , representation (politics) , arch , shell (structure) , consistency (knowledge bases) , stability (learning theory) , stiffness , structural engineering , mathematics , buckling , displacement (psychology) , mathematical analysis , geometry , engineering , computer science , mechanical engineering , psychology , machine learning , politics , political science , law , psychotherapist
In the light of recent contributions by Batoz 1 and Hibbitt, 2 two aspects of finite element formulations for shell stability analysis are examined. The first is the consistency of the shell strain‐displacement equations employed; the second is the proper representation of ‘follower forces’—pressures that are always normal to the deforming surface. Numerical studies of an arch indicate that improper representation of either of these factors can have a significant effect on predicted buckling loads. Numerical studies of an arch indicate that improper representation of either of these factors can have a significant effect on predicted bukling loads.