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

@article{CRMECA_2003__331_12_811_0,
     author = {B. Roman and P.M. Reis and B. Audoly and S. De Villiers and V. Vigui\'e and D. Vallet},
     title = {Oscillatory fracture paths in thin elastic sheets},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {811--816},
     publisher = {Elsevier},
     volume = {331},
     number = {12},
     year = {2003},
     doi = {10.1016/j.crme.2003.10.002},
     language = {en},
}

TY  - JOUR
AU  - B. Roman
AU  - P.M. Reis
AU  - B. Audoly
AU  - S. De Villiers
AU  - V. Viguié
AU  - D. Vallet
TI  - Oscillatory fracture paths in thin elastic sheets
JO  - Comptes Rendus. Mécanique
PY  - 2003
SP  - 811
EP  - 816
VL  - 331
IS  - 12
PB  - Elsevier
DO  - 10.1016/j.crme.2003.10.002
LA  - en
ID  - CRMECA_2003__331_12_811_0
ER  -

%0 Journal Article
%A B. Roman
%A P.M. Reis
%A B. Audoly
%A S. De Villiers
%A V. Viguié
%A D. Vallet
%T Oscillatory fracture paths in thin elastic sheets
%J Comptes Rendus. Mécanique
%D 2003
%P 811-816
%V 331
%N 12
%I Elsevier
%R 10.1016/j.crme.2003.10.002
%G en
%F CRMECA_2003__331_12_811_0

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/

Bibliographie
Cité par

[1] R. Deegan; P. Petersan; M. Marder; H. Swinney Oscillating fracture paths in rubber, Phys. Rev. Lett., Volume 88 (2002), p. 014304

[2] A. Yuse; M. Sano Transition between crack patterns in quenched glass plates, Nature, Volume 362 (1993), pp. 329-331

[3] O. Ronsin; F. Heslot; B. Perrin Experimental study of quasistatic brittle crack propagation, Phys. Rev. Lett., Volume 75 (1995), pp. 2352-2355

[4] R.D. Deegan; S. Cheeda; L. Patel; M. Marder; H.L. Swinney; J. Kim; A. de Lozanne Phys. Rev. E, 67 (2003), p. 066209

[5] B. Yang; K. Ravi-Chandar Crack path instability in a quenched glass plate, J. Mech. Phys. Solids, Volume 49 (2001), pp. 91-130

[6] M. Adda-Bedia; M. Ben Amar Stability of quasi-equilibrium cracks under Mode I loading, Phys. Rev. Lett., Volume 76 (1996), pp. 1497-1500

[7] http://www.lmm.jussieu.fr/platefracture/

[8] A. Pogorelov Bending of Surfaces and Stability of Shells, Transl. Math. Monographs, American Mathematical Society, 1988

[9] A. Ghatak, L. Mahadevan, Crack street: the cycloidal wake of a cylinder tearing through a thin sheet, Phys. Rev. Lett. (2003), in press

Xuan Ye; Tao Wang; Xiaoming Liu; Yueguang Wei Effect of tool size on the cutting of aluminum film with micrometer-level thickness, International Journal of Solids and Structures, Volume 241 (2022), p. 111514 | DOI:10.1016/j.ijsolstr.2022.111514
Mengqi Liu; Senjiang Yu; Linghui He; Yong Ni Recent progress on crack pattern formation in thin films, Soft Matter, Volume 18 (2022) no. 32, p. 5906 | DOI:10.1039/d2sm00716a
Miguel Trejo; Victor Romero; Eugenio Hamm; Enrique Cerda Lateral indentation of a thin elastic film, Soft Matter, Volume 18 (2022) no. 4, p. 762 | DOI:10.1039/d1sm01348c
Alejandro Ibarra; Juan-Francisco Fuentealba; José Bico; Benoît Roman; Francisco Melo Guided tearing: The ruler test, Physical Review Materials, Volume 5 (2021) no. 2 | DOI:10.1103/physrevmaterials.5.025601
Eugenio Hamm; Iryna Sivak; Benoît Roman Nature of Crack Path Instabilities in Thin Sheets Cut by Blunt Objects, Physical Review Letters, Volume 124 (2020) no. 17 | DOI:10.1103/physrevlett.124.174101
Joël Marthelot; José Bico; Francisco Melo; Benoît Roman A new failure mechanism in thin film by collaborative fracture and delamination: Interacting duos of cracks, Journal of the Mechanics and Physics of Solids, Volume 84 (2015), p. 214 | DOI:10.1016/j.jmps.2015.07.010
Fabian Brau Tearing of thin sheets: Cracks interacting through an elastic ridge, Physical Review E, Volume 90 (2014) no. 6 | DOI:10.1103/physreve.90.062406
Benoît Roman Fracture path in brittle thin sheets: a unifying review on tearing, International Journal of Fracture, Volume 182 (2013) no. 2, p. 209 | DOI:10.1007/s10704-013-9869-5
Atsushi Takei; Benoît Roman; José Bico; Eugenio Hamm; Francisco Melo Forbidden Directions for the Fracture of Thin Anisotropic Sheets: An Analogy with the Wulff Plot, Physical Review Letters, Volume 110 (2013) no. 14 | DOI:10.1103/physrevlett.110.144301
Victor Romero; Benoît Roman; Eugenio Hamm; Enrique Cerda Spiral tearing of thin films, Soft Matter, Volume 9 (2013) no. 34, p. 8282 | DOI:10.1039/c3sm50564b
E. Bayart; A. Boudaoud; M. Adda-Bedia Finite-Distance Singularities in the Tearing of Thin Sheets, Physical Review Letters, Volume 106 (2011) no. 19 | DOI:10.1103/physrevlett.106.194301
T. Tallinen; L. Mahadevan Forced Tearing of Ductile and Brittle Thin Sheets, Physical Review Letters, Volume 107 (2011) no. 24 | DOI:10.1103/physrevlett.107.245502
Pedro M. Reis; Basile Audoly; Benoit Roman Cracking sheets: Oscillatory fracture paths in thin elastic sheets, Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 18 (2008) no. 4 | DOI:10.1063/1.2997335
P. M. Reis; A. Kumar; M. D. Shattuck; B. Roman Unzip instabilities: Straight to oscillatory transitions in the cutting of thin polymer sheets, EPL (Europhysics Letters), Volume 82 (2008) no. 6, p. 64002 | DOI:10.1209/0295-5075/82/64002
Tony Atkins Wiggly crack paths in the tearing of thin films, Engineering Fracture Mechanics, Volume 74 (2007) no. 7, p. 1018 | DOI:10.1016/j.engfracmech.2006.12.006
Ariel Livne; Oded Ben-David; Jay Fineberg Oscillations in Rapid Fracture, Physical Review Letters, Volume 98 (2007) no. 12 | DOI:10.1103/physrevlett.98.124301
Joseph R. Gladden; Andrew Belmonte Motion of a Viscoelastic Micellar Fluid around a Cylinder: Flow and Fracture, Physical Review Letters, Volume 98 (2007) no. 22 | DOI:10.1103/physrevlett.98.224501
Pedro M. Reis; Basile Audoly; Benoit Roman Cracks in Thin Sheets: When Geometry Rules the Fracture Path, Fracture of Nano and Engineering Materials and Structures (2006), p. 119 | DOI:10.1007/1-4020-4972-2_57
R. Brenier; A. Gagnaire The sol-gel route of TEOS ozonation, Journal of Sol-Gel Science and Technology, Volume 38 (2006) no. 1, p. 37 | DOI:10.1007/s10971-006-6089-8
A. Ghatak; L. Mahadevan Ghatak and Mahadevan Reply:, Physical Review Letters, Volume 94 (2005) no. 12 | DOI:10.1103/physrevlett.94.129602
B. Audoly; B. Roman; P. M. Reis Comment on “Crack Street: The Cycloidal Wake of a Cylinder Tearing through a Thin Sheet”, Physical Review Letters, Volume 94 (2005) no. 12 | DOI:10.1103/physrevlett.94.129601
B. Audoly; P. M. Reis; B. Roman Cracks in Thin Sheets: When Geometry Rules the Fracture Path, Physical Review Letters, Volume 95 (2005) no. 2 | DOI:10.1103/physrevlett.95.025502
Philip Ball Envelope physics sheds light on ice sheets, Nature (2003) | DOI:10.1038/news031201-1

Cité par 23 documents. Sources : Crossref

Commentaires - Politique

Il n'y a aucun commentaire pour cet article. Soyez le premier à écrire un commentaire !

Publier un nouveau commentaire:

Publier une nouvelle réponse: