How a Curved Elastic Strip Opens

Thomas Barois, Loïc Tadrist, Catherine Quilliet, and Yoël Forterre
Phys. Rev. Lett. 113, 214301 – Published 21 November 2014
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Abstract

An elastic strip is transversely clamped in a curved frame. The induced curvature decreases as the strip opens and connects to its flat natural shape. Various ribbon profiles are measured and the scaling law for the opening length validates a description where the in-plane stretching gradually relaxes the bending stress. An analytical model of the strip profile is proposed and a quantitative agreement is found with both experiments and simulations of the plates equations. This result provides a unique illustration of smooth nondevelopable solutions in thin sheets.

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  • Received 3 June 2014

DOI:https://doi.org/10.1103/PhysRevLett.113.214301

© 2014 American Physical Society

Authors & Affiliations

Thomas Barois1,2, Loïc Tadrist1, Catherine Quilliet3, and Yoël Forterre4,*

  • 1Department of Mechanics, LadHyX, École Polytechnique-CNRS, 91128 Palaiseau, France
  • 2Université Grenoble Alpes, LEGI, F-38000 Grenoble, France CNRS, LEGI, F-38000 Grenoble, France
  • 3Université Grenoble Alpes/CNRS UMR 5588, LIPhy, 38041 Grenoble, France
  • 4Aix-Marseille Université, CNRS UMR 7343, IUSTI 13453 Marseille Cedex 13, France

  • *Corresponding author. yoel.forterre@univ-amu.fr

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Issue

Vol. 113, Iss. 21 — 21 November 2014

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