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Stability of Elastic Equilibrium

Report Number: AFFDL TR 70-25
Author: Koiter, Warner Tjardus
Corporate Author: Stanford University Department of Aeronautics and Astronautics
Laboratory: Air Force Flight Dynamics Laboratory
Date of Publication: 1970-02
Pages: 322
AD Number: AD0704124

A general theory of elastic stability is presented. In contrast to previous works in the field, the present analysis is augmented by an investigation of the behavior of the buckled structure in the immediate neighborhood of the bifurcation point. This investigation explains why some structures, e.g., a flat plate supported along its edges and subjected to thrust in its plane, are capable of carrying loads considerably above the buckling load, while other structures, e.g., an axially loaded cylindrical shell, collapse at loads far below the theoretical critical load.

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