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Buckling Cascade of Thin Plates: Forms, Constraints and Similarity

B. Roman, A. Pocheau

patt-solarXiv:patt-sol/9901001

Abstract

We experimentally study compression of thin plates in rectangular boxes with variable height. A cascade of buckling is generated. It gives rise to a self-similar evolution of elastic reaction of plates with box height which surprisingly exhibits repetitive vanishing and negative stiffness. These features are understood from properties of Euler's equation for elastica.

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