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A note on the critical points of equilibrium paths in imperfect structures
Authors:Baisheng Wu  Yingxi Piao
Institution:a Mechanics Section, Department of Mathematics, Jilin University, Changchun 130023, People's Republic of China
b Mechanics Section, College of Mechanical Engineering, University of Changchun, Changchun 130022, People's Republic of China
Abstract:In a recent work (Int. J. Solids Struct. 37 (2000) 1561) by one of the authors, an extended system for calculating critical points of equilibrium paths in imperfect structures was presented. However, the extremum nature of these points was not analyzed explicitly in that paper. In this note, we will fill in the gap and establish a sufficient condition for determining the buckling strength of imperfect structures.
Keywords:Imperfect structures  Critical points  Stability
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