Scaling of crack surfaces and implications for fracture mechanics
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.
Morel
S
Laboratoire de Rheologie du Bois de Bordeaux, UMR 5103, Domaine de l'Hermitage, B.P. 10, 33610 Cestas Gazinet, France.
Schmittbuhl
J
Bouchaud
E
Valentin
G