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arXiv · 1007.1188

Fracture Roughness Scaling: a case study on planar cracks

Stéphane Santucci·Mélanie Grob·Alex Hansen·Renaud Toussaint·Jean Schmittbuhl·Knut Jørgen Måløy
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Abstract

Using a multi-resolution technique, we analyze large in-plane fracture fronts moving slowly between two sintered Plexiglas plates. We find that the roughness of the front exhibits two distinct regimes separated by a crossover length scale $δ^*$. Below $δ^*$, we observe a multi-affine regime and the measured roughness exponent $ζ_{\parallel}^{-} = 0.60\pm 0.05$ is in agreement with the coalescence model. Above $δ^*$, the fronts are mono-affine, characterized by a roughness exponent $ζ_{\parallel}^{+} = 0.35\pm0.05$, consistent with the fluctuating line model. We relate the crossover length scale to fluctuations in fracture toughness and the stress intensity factor.

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Stéphane Santucci, Mélanie Grob, Alex Hansen, Renaud Toussaint, Jean Schmittbuhl, Knut Jørgen Måløy. 2010-07-07. Fracture Roughness Scaling: a case study on planar cracks. https://doi.org/10.1209/0295-5075%2F92%2F44001

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