Scaling of Crack Surfaces and Implications on Fracture Mechanics
Materials Science
2009-10-31 v1
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.
Keywords
Cite
@article{arxiv.cond-mat/0007100,
title = {Scaling of Crack Surfaces and Implications on Fracture Mechanics},
author = {S. Morel and J. Schmittbuhl and E. Bouchaud and G. Valentin},
journal= {arXiv preprint arXiv:cond-mat/0007100},
year = {2009}
}
Comments
Revtex, 4 pages, 3 figures, accepted for publication in Physical Review Letters