@article{6d526fd16f0b47438bfb5ca7e644bbb2,
title = "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 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.",
author = "Mokhtar Adda-Bedia and Arias, {Rodrigo E.} and Eran Bouchbinder and Eytan Katzav",
note = "James S. McDonnell Fund; Minerva Foundation; Federal German Ministry for Education and Research; Harold Perlman Family Foundation; William Z. and Eda Bess Novick Young Scientist Fund; CNRS-Conicyt [170]We are grateful to J. R. Willis, N. V. Movchan and A. B. Movchan for generously sharing with us their results prior to publication. E. B. is grateful to J. Fineberg for his continuous support and to A. Livne for enlightening discussions. E. B. acknowledges support from the James S. McDonnell Fund, the Minerva Foundation with funding from the Federal German Ministry for Education and Research, the Harold Perlman Family Foundation and the William Z. and Eda Bess Novick Young Scientist Fund. R. E. A and M. A. B acknowledge support from CNRS-Conicyt Project No. 170.",
year = "2013",
month = jan,
day = "4",
doi = "10.1103/PhysRevLett.110.014302",
language = "الإنجليزيّة",
volume = "110",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "1",
}