The roughness of crack interfaces is reported in quasistatic fracture, using an elastic network of beams with random breaking thresholds. For strong disorders we obtain 0.86(3) for the roughness exponent, a result which is very different from the minimum energy surface exponent, i.e., the value 2/3. A cross-over to lower values is observed as the disorder is reduced, the exponent in these cases being strongly dependent on the disorder.
@article{arxiv.cond-mat/0012344,
title = {Roughness of Crack Interfaces in Two-Dimensional Beam Lattices},
author = {Bjorn Skjetne and Torbjorn Helle and Alex Hansen},
journal= {arXiv preprint arXiv:cond-mat/0012344},
year = {2009}
}