Damaging and Cracks in Thin Mud Layers
摘要
We present a detailed study of a two-dimensional minimal lattice model for the description of mud cracking in the limit of extremely thin layers. In this model each bond of the lattice is assigned to a (quenched) breaking threshold. Fractures proceed through the selection of the part of the material with the smallest breaking threshold. A local damaging rule is also implemented, by using two different types of weakening of the neighboring sites, corresponding to different physical situations. Some analytical results are derived through a probabilistic approach known as Run Time Statistics. In particular, we find that the total time to break down the sample grows with the dimension of the lattice as even though the percolating cluster has a non trivial fractal dimension. Furthermore, a formula for the mean weakening in time of the whole sample is obtained.
引用
@article{arxiv.cond-mat/0004281,
title = {Damaging and Cracks in Thin Mud Layers},
author = {Raffaele Cafiero and Guido Caldarelli and Andrea Gabrielli},
journal= {arXiv preprint arXiv:cond-mat/0004281},
year = {2007}
}
备注
10 pages, 7 figures (9 postscript files), RevTeX