Buckling cascade of thin plates: Forms, constraints and similarity
IRPHE, UMR 6594 CNRS, Universités Aix-Marseille
I & II
Centre de Saint-Jérôme, S. 252, 13397 Marseille Cedex 20, France
Accepted: 19 March 1999
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.
PACS: 46.32.+x – Static buckling and instability / 62.20.Dc – Elasticity, elastic constants / 68.55.Jk – Structure and morphology; thickness
© EDP Sciences, 1999