Buckling cascade of thin plates: Forms, constraints and similarity

B. Roman; A. Pocheau

doi:10.1209/epl/i1999-00306-3

Buckling cascade of thin plates: Forms, constraints and similarity

B. Roman, A. Pocheau

Aix-Marseille Université

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	602-608
Number of pages	7
Journal	EPL
Volume	46
Issue number	5
DOIs	https://doi.org/10.1209/epl/i1999-00306-3
Publication status	Published - 1 Jun 1999
Externally published	Yes

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title = "Buckling cascade of thin plates: Forms, constraints and similarity",

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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AB - 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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DO - 10.1209/epl/i1999-00306-3

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SN - 0295-5075

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JO - EPL

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Buckling cascade of thin plates: Forms, constraints and similarity

Abstract

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