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arXiv · 1106.2721

A Statistical Model of Aggregates Fragmentation

F. Spahn·E. V. Neto·A. H. F. Guimaraes·A. N. Gorban·N. V. Brilliantov
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Abstract

A statistical model of fragmentation of aggregates is proposed, based on the stochastic propagation of cracks through the body. The propagation rules are formulated on a lattice and mimic two important features of the process -- a crack moves against the stress gradient and its energy depletes as it grows. We perform numerical simulations of the model for two-dimensional lattice and reveal that the mass distribution for small and intermediate-size fragments obeys a power-law, F(m)\propto m^(-3/2), in agreement with experimental observations. We develop an analytical theory which explains the detected power-law and demonstrate that the overall fragment mass distribution in our model agrees qualitatively with that, observed in experiments.

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BibTeXRIS

F. Spahn, E. V. Neto, A. H. F. Guimaraes, A. N. Gorban, N. V. Brilliantov. 2011-06-14. A Statistical Model of Aggregates Fragmentation. https://doi.org/10.1088/1367-2630%2F16%2F1%2F013031

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