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Uncertain buckling: Its past, present and future. (English) Zbl 0980.74022

Summary: An authoritative review on stochastic buckling of structures was written by J. C. Amazigo some quarter century ago [In: B. Budiansky (ed.), Buckling of structures. Springer, Berlin, pp. 172-182 (1976)]. The present review summarizes some of the developments which took place since then. A brief overview of the effect of uncertainty on initial geometric imperfections, elastic modulie, applied forces, and thickness variation is given. For the benefit of the thoughtful reader, the review is of critical nature.

MSC:

74G60 Bifurcation and buckling
74H60 Dynamical bifurcation of solutions to dynamical problems in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
74-02 Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids
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