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A statistical model of aggregate fragmentation

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journal contribution
posted on 16.05.2014, 13:26 by F. Spahn, E. Vieira Neto, A. H. F. Guimaraes, Alexander N. Gorban, N. V. Brilliantov
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 while dissipating energy during its growth. 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)∝m[superscript −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 one observed in experiments.

History

Citation

New Journal of Physics, 2014, 16, 013031

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics

Version

VoR (Version of Record)

Published in

New Journal of Physics

Publisher

IOP Publishing Ltd

issn

1367-2630

Copyright date

2014

Available date

16/05/2014

Publisher version

http://iopscience.iop.org/1367-2630/16/1/013031/

Language

en