Disk wrinkling under gravity

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:233

Article

Boedec, Gwenn¹  Deschamps, Julien¹ 

[1] Aix Marseille Univ, IRPHE, Cent Marseille, CNRS, Marseille, France

关键词: Elasticity;    Wrinkled thin plate;    Instability;    Foppl-von Karman equation;   

DOI  :  10.1016/j.ijsolstr.2021.111214

来源: Elsevier

【 摘 要 】

We study the deflection by gravity of a circular elastic disk deposited on a rigid support. The axisymmetric deflection induces compressive orthoradial stresses which leads to a wrinkling instability above a critical threshold of the dimensionless gravity force. We study this instability by a combination of experiments, numerical simulations and analytical tools, with a particular focus on the role of geometry. We show that aspect ratio is a crucial parameter that controls both the threshold of instability and the most unstable mode. The influence of this parameter on the threshold can be caught by introducing a new nondimensionalization of the transverse load.

【 授权许可】

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