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Scaling of Crack Surfaces and Implications on Fracture Mechanics

S. Morel·J. Schmittbuhl·E. Bouchaud·G. Valentin
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Abstract

The scaling laws describing the roughness development of crack surfaces are incorporated into the Griffith criterion. We show that, in the case of a Family-Vicsek scaling, the energy balance leads to a purely elastic brittle behavior. On the contrary, it appears that an anomalous scaling reflects a R-curve behavior associated to a size effect of the critical resistance to crack growth in agreement with the fracture process of heterogeneous brittle materials exhibiting a microcracking damage.

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S. Morel, J. Schmittbuhl, E. Bouchaud, G. Valentin. 2000-07-06. Scaling of Crack Surfaces and Implications on Fracture Mechanics. https://doi.org/10.1103/physrevlett.85.1678

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