Buckling Cascade of Thin Plates: Forms, Constraints and Similarity

Nonlinear Sciences – Pattern Formation and Solitons

Scientific paper

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Scientific paper

10.1209/epl/i1999-00306-3

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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