Buckling Cascade of Thin Plates: Forms, Constraints and Similarity
patt-sol
2009-10-31 v1 Pattern Formation and Solitons
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.
Cite
@article{arxiv.patt-sol/9901001,
title = {Buckling Cascade of Thin Plates: Forms, Constraints and Similarity},
author = {B. Roman and A. Pocheau},
journal= {arXiv preprint arXiv:patt-sol/9901001},
year = {2009}
}