Schematic models for fragmentation of brittle solids in one and two dimensions

Details Schematic models for fragmentation of brittle solids in one and two dimensions Schematic models for fragmentation of brittle solids in one and two dimensions

2006-05-03

arxiv.org/abs/cond-mat/0605098v1

Physics

Condensed Matter

Statistical Mechanics

15 pages, 8 figures

Scientific paper

10.1016/j.physa.2006.08.058

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.

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