Abstract
The complementary energy approach for stability analysis of elastic structures under conservative loading is based on Fraeijs de Veubeke's variational principle. The associate equations of neutral equilibrium and stability criterium are presented for arbitrarily large deformations and rotations. When specialized to the structural behavior of thin plates in moderate rotations this functional yields the von Karman equations. Efficient mixed flat shell finite elements are derived from this functional. If the fundamental path is moderately nonlinear, the buckling load and the initial postbuckling behavior can be obtained by an iterative process of Rayleigh-Ritz type, which is based on Koiter's asymptotic approach. Development of the iterative method within the complementary energy principle allows improvement of computational effectiveness and of the rate of convergence, as shown by means of numerical examples.
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