Dynamic stability of crack fronts: Out-of-plane corrugations
arXiv:1209.0169 · doi:10.1103/PhysRevLett.110.014302
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.
5 pages, 2 figures + supplementary information
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- Crack front dynamics: the interplay of singular geometry and crack instabilities
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- Nonlinear focusing in dynamic crack fronts and the micro-branching transition
- Quenched disorder and instability control dynamic fracture in three dimensions
- The dynamics of crack front waves in 3D material failure
- A comprehensive study of nonlinear perturbations in the dynamics of planar crack fronts
- Dynamic crack growth along heterogeneous planar interfaces: interaction with unidimensional strips