Roughness and multiscaling of planar crack fronts

Abstract

We consider numerically the roughness of a planar crack front within the long-range elastic string model, with a tunable disorder correlation length $\xi$. The problem is shown to have two important length scales, $\xi$ and the Larkin length $L_c$. Multiscaling of the crack front is observed for scales below $\xi$, provided that the disorder is strong enough. The asymptotic scaling with a roughness exponent $\zeta \approx 0.39$ is recovered for scales larger than both $\xi$ and $L_c$. If $L_c>\xi$, these regimes are separated by a third regime characterized by the Larkin exponent ${\zeta }_L\approx 0.5$. We discuss the experimental implications of our results.

8 pages, two figures

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• Crackling dynamics in material failure as the signature of a self-organized dynamic phase transition
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Cited by in corpus (3)

• Slow crack propagation through a disordered medium: Critical transition and dissipation
• Depinning of disordered bosonic chains
• Role of the sample thickness in planar crack propagation