Oscillatory fracture paths in thin elastic sheets

B. Roman; P.M. Reis; B. Audoly; S. De Villiers; V. Viguié; D. Vallet

doi:10.1016/j.crme.2003.10.002

Oscillatory fracture paths in thin elastic sheets
[Fissures oscillantes dans les feuilles élastiques minces]

Présenté par : Jean-Baptiste Leblond

B. Roman ¹ ; P.M. Reis ² ; B. Audoly ³ ; S. De Villiers ² ; V. Viguié ¹ ; D. Vallet ¹

¹ PMMH, UMR 7636 CNRS/ESPCI, 10, rue Vauquelin, 75231 Paris cedex 5, France
² Manchester Centre for Nonlinear Dynamics, Dept. Physics and Astronomy, University of Manchester, M13 9PL, Manchester, UK
³ LMM, UMR 7607 CNRS/UPMC, 4, place Jussieu, case 162, 75252 Paris cedex 05, France

Comptes Rendus. Mécanique, Volume 331 (2003) no. 12, pp. 811-816.

Résumé
Abstract

Nous présentons une nouvelle instabilité oscillante de fissure qui se produit lorsqu'un indenteur assez large est forcé à travers une feuille mince fragile préalablement entaillée. Nos expériences révèlent que l'amplitude et la longueur d'onde de la fissure dépendent linéairement de largeur de l'indenteur sur une grande gamme de largeurs, et ne dépendent ni de la largeur du film, ni de la vitesse de découpe. Nous proposons un mécanisme pour cette instabilité, fondé sur un couplage entre l'avancée de la fissure et les déformations transverses du film.

We report a novel mode of quasi-static oscillatory crack propagation when a cutting tip of moderately large width is driven through a thin brittle polymer film. Experiments show that the amplitude and wavelength of the oscillatory crack paths scale linearly with the width of the cutting tip over a wide range of length scales but are independent of the width of the sheet and of the cutting speed. We propose a mechanism for this instability, based on the coupling between crack propagation and out-of-plane deformations of the film.

Reçu le : 2003-08-20
Accepté le : 2003-10-07
Publié le : 2003-11-14

DOI : 10.1016/j.crme.2003.10.002

Keywords: Rupture, Thin elastic plates, Fracture, Oscillatory crack path
Mots-clés : Rupture, Plaques élastiques minces, Fissure, Fissure oscillante

Affiliations des auteurs :

B. Roman ¹ ; P.M. Reis ² ; B. Audoly ³ ; S. De Villiers ² ; V. Viguié ¹ ; D. Vallet ¹

¹ PMMH, UMR 7636 CNRS/ESPCI, 10, rue Vauquelin, 75231 Paris cedex 5, France
² Manchester Centre for Nonlinear Dynamics, Dept. Physics and Astronomy, University of Manchester, M13 9PL, Manchester, UK
³ LMM, UMR 7607 CNRS/UPMC, 4, place Jussieu, case 162, 75252 Paris cedex 05, France

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     title = {Oscillatory fracture paths in thin elastic sheets},
     journal = {Comptes Rendus. M\'ecanique},
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     language = {en},
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B. Roman; P.M. Reis; B. Audoly; S. De Villiers; V. Viguié; D. Vallet. Oscillatory fracture paths in thin elastic sheets. Comptes Rendus. Mécanique, Volume 331 (2003) no. 12, pp. 811-816. doi : 10.1016/j.crme.2003.10.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2003.10.002/

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