title: Scaling of crack surfaces and implications for fracture mechanics
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 an R-curve behavior associated with a size effect of the critical resistance to crack growth in agreement with the fracture process of heterogeneous brittle materials exhibiting a microcracking damage.
authors.affiliation: Laboratoire de Rheologie du Bois de Bordeaux, UMR 5103, Domaine de l'Hermitage, B.P. 10, 33610 Cestas Gazinet, France.
authors.initials: S
authors.lastname: Morel
authors.initials: J
authors.lastname: Schmittbuhl
authors.initials: E
authors.lastname: Bouchaud
authors.initials: G
authors.lastname: Valentin