Schematic models for fragmentation of brittle solids in one and two dimensions
arXiv:cond-mat/0605098 · doi:10.1016/j.physa.2006.08.058
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.
15 pages, 8 figures
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