PMID: 15245098Jul 13, 2004Paper

Universal dynamic fragmentation in D dimensions

Physical Review Letters
J A AströmJ Timonen

Abstract

A generic model is introduced for brittle fragmentation in D dimensions, and this model is shown to lead to a fragment-size distribution with two distinct components. In the small fragment-size limit a scale-invariant size distribution results from a crack branching-merging process. At larger sizes the distribution becomes exponential as a result of a Poisson process, which introduces a large-scale cutoff. Numerical simulations are used to demonstrate the validity of the distribution for D=2. Data from laboratory-scale experiments and large-scale quarry blastings of granitic gneiss confirm its validity for D=3. In the experiments the nonzero grain size of rock causes deviation from the ideal model distribution in the small-size limit. The size of the cutoff seems to diverge at the minimum energy sufficient for fragmentation to occur, but the scaling exponent is not universal.

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Citations

Dec 30, 2010·Proceedings of the National Academy of Sciences of the United States of America·Jasper F Kok
May 28, 2015·Scientific Reports·Marco Gherardi, Marco Cosentino Lagomarsino
Mar 17, 2015·Scientific Reports·Gábor DomokosTímea Szabó
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hiroaki KatsuragiHaruo Honjo
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Jan 24, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Gergő PálFerenc Kun
Jan 1, 2018·Berg- Und Hüttenmännische Monatshefte·Ivan KukoljFinn Ouchterlony
Jan 20, 2018·Physical Review. E·Zoltán HalászFerenc Kun
Jul 19, 2020·Proceedings of the National Academy of Sciences of the United States of America·Gábor DomokosJános Török
Oct 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P KekäläinenJ Timonen
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Artem Levandovsky, Anna C Balazs
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