Crack-front instability in a confined elastic film

Author:

Adda-Bedia M1,Mahadevan L2

Affiliation:

1. Laboratoire de Physique Statistique de l'Ecole Normale Supérieure24 rue Lhomond, 75231 Paris, France

2. Division of Engineering and Applied Sciences, Harvard UniversityPierce Hall, 29 Oxford Street, Cambridge, MA 02138, USA

Abstract

We study the undulatory instability of a straight crack front generated by peeling a flexible elastic plate from a thin elastomeric adhesive film. We show that there is a threshold for the onset of the instability that is dependent on the ratio of two length-scales that arise naturally in the problem: the thickness of the film and an elastic length defined by the stiffness of the plate and that of the film. A linear stability analysis predicts that the wavelength of the instability scales linearly with the film thickness. Our results are qualitatively and quantitatively consistent with recent experiments, and show how crack fronts may lose stability due to a competition between bulk and surface effects in the presence of multiple length scales.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

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