The ‘Coin-Through-the-Rubber’ Trick: An Elastically Stabilized Invagination

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• 作者：Fanlong Meng ; Masao Doi ; Zhongcan Ouyang ; Xiaoyu Zheng…
• 关键词：Magic ; Elasticity ; Invagination ; Rubber dam ; Hoop stress ; Capstan ; Stability ; 74B10 ; 74B20
• 刊名：Journal of Elasticity
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：123
• 期：1
• 页码：43-57
• 全文大小：2,642 KB
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• 作者单位：Fanlong Meng (1)
  Masao Doi (2)
  Zhongcan Ouyang (1)
  Xiaoyu Zheng (3)
  Peter Palffy-Muhoray (4)
  
  1. Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, China
  2. Center for Soft Matter Physics and its Applications, Beihang University, Beijing, China
  3. Department of Mathematical Sciences, Kent State University, Kent, USA
  4. Liquid Crystal Institute, Kent State University, Kent, USA
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mechanics
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-2681

文摘

A spectacular trick of close-up magicians involves the apparent passing of a coin through a rubber sheet. The magic is based on the unusual elastic response of a thin rubber sheet: the formation of an invagination, stabilized by friction and elasticity, which holds the coin. By pressing on the coin, the invagination becomes unstable, and the coin is released. We describe the deformation analytically using a simple Hookean description, and examine the stability of the invagination. We finally compare the prediction of the Hookean analysis with numerical solutions of the neo-Hookean model, and provide a brief commentary on the origins of the trick. Keywords Magic Elasticity Invagination Rubber dam Hoop stress Capstan Stability