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Universal dynamic fragmentation in D dimensions
Centre for Scientific Computing, Esbo.
Luleå University of Technology, Department of Civil, Environmental and Natural Resources Engineering, Mining and Geotechnical Engineering.
Department of Physics, University of Jyväskylä.
Department of Physics, University of Jyväskylä.
2004 (English)In: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114, Vol. 92, no 24, p. 245506-Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2004. Vol. 92, no 24, p. 245506-
Keywords [en]
Civil engineering and architecture - Geoengineering and mining engineering
Keywords [sv]
Samhällsbyggnadsteknik och arkitektur - Geoteknik och gruvteknik
National Category
Other Civil Engineering
Research subject
Mining and Rock Engineering
Identifiers
URN: urn:nbn:se:ltu:diva-6305DOI: 10.1103/PhysRevLett.92.245506Local ID: 486b1530-c357-11db-9ea3-000ea68e967bOAI: oai:DiVA.org:ltu-6305DiVA, id: diva2:979182
Note
Validerad; 2004; 20061107 (ysko)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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Publisher's full texthttp://link.aps.org/abstract/PRL/v92/e245506

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Ouchterlony, Finn

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