Phys. Rev. Lett. 90, 045505 (2003) [4 pages]Roughness of Interfacial Crack Fronts: Stress-Weighted Percolation in the Damage ZoneReceived 22 July 2002; published 31 January 2003 We study numerically the roughness exponent ζ of an in-plane fracture front slowly propagating along a heterogeneous interface embedded in an elastic body, using a model based on the evolution of a process zone rather than a fracture line. We find ζ=0.60±0.05. For the first time, simulation results are in close agreement with experimental results. We then show that the roughness exponent is related to the correlation length exponent ν of a stress-weighted percolation problem through ζ=ν/(1+ν). A numerical study of the stress-weighted percolation problem yields ν=1.54 giving ζ=0.61 in close agreement with our numerical results and with experimental observations. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.90.045505
DOI:
10.1103/PhysRevLett.90.045505
PACS:
62.20.Mk, 81.40.Np, 83.80.Ab
See AlsoReply: M. J. Alava and S. Zapperi, Comment on “Roughness of Interfacial Crack Fronts: Stress-Weighted Percolation in the Damage Zone”, Phys. Rev. Lett. 92, 049601 (2004). Reply: Jean Schmittbuhl, Alex Hansen, and G. George Batrouni, Schmittbuhl, Hansen, and Batrouni Reply:, Phys. Rev. Lett. 92, 049602 (2004). |
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