Finite-Distance Singularities in the Tearing of Thin Sheets

E. Bayart, A. Boudaoud, and M. Adda-Bedia
Phys. Rev. Lett. 106, 194301 – Published 11 May 2011

Abstract

We investigate the interaction between two cracks propagating quasistatically in a thin sheet. Two different experimental geometries allow us to tear sheets by imposing an out-of-plane shear loading. A single tear propagates in a straight line independently of its position in the sheet. In contrast, we find that two tears converge along self-similar paths and annihilate each other. These finite-distance singularities display geometry-dependent similarity exponents, which we retrieve using scaling arguments based on a balance between the stretching and the bending of the sheet close to the tips of the cracks.

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  • Received 22 January 2011

DOI:https://doi.org/10.1103/PhysRevLett.106.194301

© 2011 American Physical Society

Authors & Affiliations

E. Bayart, A. Boudaoud*, and M. Adda-Bedia

  • Laboratoire de Physique Statistique, Ecole Normale Supérieure, UPMC Paris 06, Université Paris Diderot, CNRS, 24 rue Lhomond, 75005 Paris, France

  • *Current address: RDP, ENS Lyon, 46 allée d’Italie, 69007 Lyon, France. Arezki.Boudaoud@ens-lyon.fr

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Issue

Vol. 106, Iss. 19 — 13 May 2011

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