A Procedure for Finite Element Plate and Shell Pre- and Post-Buckling Analysis

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Report Number: AFFDL TR 71-160 p. 857-879
Author(s): Gallagher, Richard H., Lien, S., Mau, S. T.
Corporate Author(s): Cornell University
Date of Publication: 1973-12
Pages: 24
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Identifier: This paper is part of a conference proceedings. See AD0785968

A procedure for finite element analysis of geometrically nonlinear problems, extending over the pre-buckling and initial post-buckling regimes, snap-through buckling, and accounting for initial imperfections, is described. The computation of the nonlinear pre-buckling path is accomplished by direct iterative solution. The bifurcation point is established by interpolation of solution points of the pre-buckling and immediate post-buckling analyses. A static perturbation method is then developed for determination of the post-buckling path of the bifurcating structure or the limit point of a structure with initial imperfections. Three numerical examples, involving an arch, flat plate and shallow shell, are presented in illustration of the procedure and in comparison with alternative approaches.

Provenance: Bombardier/Aero

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