Dynamic stability of crack fronts: Out-of-plane corrugations
Abstract
The dynamics and stability of brittle cracks are not yet fully understood. Here we use the Willis-Movchan 3D linear perturbation formalism [J. Mech. Phys. Solids {\bf 45}, 591 (1997)] to study the out-of-plane stability of planar crack fronts in the framework of linear elastic fracture mechanics. We discuss a minimal scenario in which linearly unstable crack front corrugations might emerge above a critical front propagation speed. We calculate this speed as a function of Poisson's ratio and show that corrugations propagate along the crack front at nearly the Rayleigh wave-speed. Finally, we hypothesize about a possible relation between such corrugations and the long-standing problem of crack branching.
Keywords
Cite
@article{arxiv.1209.0169,
title = {Dynamic stability of crack fronts: Out-of-plane corrugations},
author = {Mokhtar Adda-Bedia and Rodrigo E. Arias and Eran Bouchbinder and Eytan Katzav},
journal= {arXiv preprint arXiv:1209.0169},
year = {2015}
}
Comments
5 pages, 2 figures + supplementary information