Fracture Roughness Scaling: a case study on planar cracks

Details Fracture Roughness Scaling: a case study on planar cracks Fracture Roughness Scaling: a case study on planar cracks

2010-07-07

arxiv.org/abs/1007.1188v1

Physics

Condensed Matter

Materials Science

Scientific paper

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 $\delta^*$. Below $\delta^*$, we observe a multi-affine regime and the measured roughness exponent $\zeta_{\parallel}^{-} = 0.60\pm 0.05$ is in agreement with the coalescence model. Above $\delta^*$, the fronts are mono-affine, characterized by a roughness exponent $\zeta_{\parallel}^{+} = 0.35\pm0.05$, 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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