Volume 92, Number 4, November 2010
|Number of page(s)||5|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||18 November 2010|
Fracture roughness scaling: A case study on planar cracks
Laboratoire de Physique, UMR CNRS 5672, Ecole Normale Supérieure de Lyon 46 allée d'Italie, F-69007 Lyon, France, EU
2 Physics of Geological Processes, Oslo University - 1048 Blindern, N-0316 Oslo, Norway
3 Fysisk Institutt, Universitetet i Oslo - 1048 Blindern, N-0316 Oslo, Norway
4 Institut de Physique du Globe de Strasbourg, UMR CNRS 7516, EOST/Université de Strasbourg 5 rue René Descartes, F-67084 Strasbourg Cedex, France, EU
5 Institutt for fysikk, Norges teknisk-naturvitenskapelige Universitet - N-7491 Trondheim, Norway
Accepted: 2 November 2010
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∥−=0.60±0.05 is in agreement with the coalescence model. Above δ*, the fronts are mono-affine, characterized by a roughness exponent ζ∥+=0.35±0.05, consistent with the fluctuating line model. We relate the crossover length scale to fluctuations in fracture toughness and the stress intensity factor.
PACS: 46.50.+a – Fracture mechanics, fatigue and cracks / 68.35.Ct – Interface structure and roughness
© EPLA, 2010
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