A Boundary Element Scheme For Plate Post-
Buckling Analysis
Author(s)
S. Syngellakis
Abstract
The non-linear post-buckling behaviour of a plate of any shape and support
conditions, subjected to loading parallel to its plane, can only be predicted by
numerical methods. Recent developments in formulations of this problem, based
on the boundary element method (BEM), are reviewed. A new procedure is
proposed whereby BEM modelling is combined with domain models for the
lateral deflection and the stress function yielding the membrane forces. The non-
linear plate response to in-plane loading initiated by imperfections is determined
incrementally with the option of increasing accuracy through iterations within
each loading step. The curvature and membrane force distribution in the deformed
plate is approximated through non-linear interpolation models for the deflection
and stress function over domain
Keywords
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