Schematic models for fragmentation of brittle solids in one and two dimensions
Statistical Mechanics
2009-11-11 v1 Materials Science
Abstract
Stochastic models for the development of cracks in 1 and 2 dimensional objects are presented. In one dimension, we focus on particular scenarios for interacting and non-interacting fragments during the breakup process. For two dimensional objects, we consider only non-interacting fragments, but analyze isotropic and anisotropic development of fissures. Analytical results are given for many observables. Power-law size distributions are predicted for some of the fragmentation pictures considered.
Cite
@article{arxiv.cond-mat/0605098,
title = {Schematic models for fragmentation of brittle solids in one and two dimensions},
author = {F. P. M. dos Santos and R. Donangelo and S. R. Souza},
journal= {arXiv preprint arXiv:cond-mat/0605098},
year = {2009}
}
Comments
15 pages, 8 figures