The role of self-organization during confined comminution of granular materials

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
O Ben-Nun, Itai Einav

Abstract

During confined comminution of granular materials a power-law grain size distribution (gsd) frequently evolves. We consider this power law as a hint for fractal topology if self-similar patterns appear across the scales. We demonstrate that this ultimate topology is mostly affected by the rules that define the self-organization of the fragment subunits, which agrees well with observations from simplistic models of cellular automata. There is, however, a major difference that highlights the novelty of the current work: here the conclusion is based on a comprehensive study using two-dimensional 'crushable' discrete-element simulations that do not neglect physical conservation laws. Motivated by the paradigm of self-organized criticality, we further demonstrate that in uniaxial compression the emerging ultimate fractal topology, as given by the fractal dimension, is generally insensitive to alteration of global index properties of initial porosity and initial gsd. Finally, we show that the fractal dimension in the confined crushing systems is approached irrespective of alteration of the criteria that define when particles crush.

References

Jul 1, 1988·Physical Review A: General Physics·P BakK Wiesenfeld
Jul 8, 1996·Physical Review Letters·F RadjaiS Roux
Sep 16, 2000·Physical Review Letters·H A MakseL M Schwartz
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·E Aharonov, D Sparks
Jun 24, 2005·Nature·Eric I CorwinSidney R Nagel
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H P Zhang, H A Makse
Sep 14, 2007·Nature·Todd M ScanlonIgnacio Rodriguez-Iturbe

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Citations

Apr 7, 2010·Physical Review Letters·O Ben-NunA Tordesillas
Sep 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·David M WalkerMichael Small
Jul 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mikhail Prokopenko, Itai Einav

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