Buckling Cascade of Thin Plates: Forms, Constraints and Similarity
arXiv:patt-sol/9901001 · doi:10.1209/epl/i1999-00306-3
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.