| Abstract: | A simple flat facet triangular finite element, previously developed for the solution of plate and shell problems in the linear
and geometrically non-linear range, is here applied to the initial and post-buckling behaviour of complete cylinders and curved
panels respectively. The post-buckling calculations reproduce, at least with engineering accuracy, the typical experimentally
observed formation of successive diamond shaped dimples. Such results are, of course, inaccessible to a Koiter type analysis
of immediate post-buckling behaviour. The initial symmetrical buckling stress of a complete cylinder using equilateral triangular
elements may be obtained in closed form and this allows a verification of convergence to the exact solution as the net is
refined.
Prof. Dr. Drs. h. c.J. H. Argyris is director of the Institut für Statik und Dynamik der Luft- und Raumfahrtkonstruktionen (ISD), University of Stuttgart;
Prof.P. C. Dunne is in the same Institute. Paper presented at EUROMECH 69, Balatonszemes/Hungary, 13–15 April 1977. |
