Fractures, fractals and breakage energy of mineral particles
Identifieur interne : 00A845 ( Main/Curation ); précédent : 00A844; suivant : 00A846Fractures, fractals and breakage energy of mineral particles
Auteurs : A. Thomas [France] ; L. O. Filippov [France]Source :
- International Journal of Mineral Processing [ 0301-7516 ] ; 1999.
English descriptors
- Teeft :
- Architectural features, Basic assumptions, Breakage, Classical grinders, Crystal network, Discontinuity, Discontinuity network, Discontinuity surface element, Elsevier science, Energy balance, Energy consumption, Energy spending, Experimental curve, Former ones, Fractal, Fractal dimension, Fractal expression, Fractal model, Fracture, Fracture fields, Genuine discontinuities, Genuine discontinuity, Genuine structures, Genuine weakness surfaces, Geometrical properties, Ground product, Ground products, Linear variation, Little values, Logarithmic coordinates, Miner, Mineral matter, Mineral structures, Morphological dimension, Particle bounds, Plastic zone, Potential energy, Quantitative analysis, Rupture, Separation paths, Size distribution, Size range, Strain energy, Stress concentration, Structural properties, Talc particles, Thermic, Thermic dissipation, Total area, Typical perimeter curve, Unit mass.
Abstract
Abstract: In this paper, we intend to test a classical and intuitive but not yet formalised idea expressed as: the fragmentation conditions of any mineral material first depend on its genuine structure especially of the architecture and of the shape of natural discontinuities. If such an assumption is reliable, relations must be found between the energy consumption during breakage and the structural properties. Of course, this requires an accurate description of the geometrical properties of the genuine and created discontinuity sets. The suggested model lies on two basic assumptions: the first is that initial fracture distribution is ruled by a fractal law already proposed by Turcotte and the second is that any fracture shape, on a size range to be specified, is accurately described by another scaling law. Some interesting properties result to the found relation between the Hukki's model of spent energy and the structural fractal model.
Url:
DOI: 10.1016/S0301-7516(99)00029-0
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ISTEX:4DA543DE80B62469FD00520539452DD3CCA79642Le document en format XML
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<term>Basic assumptions</term>
<term>Breakage</term>
<term>Classical grinders</term>
<term>Crystal network</term>
<term>Discontinuity</term>
<term>Discontinuity network</term>
<term>Discontinuity surface element</term>
<term>Elsevier science</term>
<term>Energy balance</term>
<term>Energy consumption</term>
<term>Energy spending</term>
<term>Experimental curve</term>
<term>Former ones</term>
<term>Fractal</term>
<term>Fractal dimension</term>
<term>Fractal expression</term>
<term>Fractal model</term>
<term>Fracture</term>
<term>Fracture fields</term>
<term>Genuine discontinuities</term>
<term>Genuine discontinuity</term>
<term>Genuine structures</term>
<term>Genuine weakness surfaces</term>
<term>Geometrical properties</term>
<term>Ground product</term>
<term>Ground products</term>
<term>Linear variation</term>
<term>Little values</term>
<term>Logarithmic coordinates</term>
<term>Miner</term>
<term>Mineral matter</term>
<term>Mineral structures</term>
<term>Morphological dimension</term>
<term>Particle bounds</term>
<term>Plastic zone</term>
<term>Potential energy</term>
<term>Quantitative analysis</term>
<term>Rupture</term>
<term>Separation paths</term>
<term>Size distribution</term>
<term>Size range</term>
<term>Strain energy</term>
<term>Stress concentration</term>
<term>Structural properties</term>
<term>Talc particles</term>
<term>Thermic</term>
<term>Thermic dissipation</term>
<term>Total area</term>
<term>Typical perimeter curve</term>
<term>Unit mass</term>
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<front><div type="abstract" xml:lang="en">Abstract: In this paper, we intend to test a classical and intuitive but not yet formalised idea expressed as: the fragmentation conditions of any mineral material first depend on its genuine structure especially of the architecture and of the shape of natural discontinuities. If such an assumption is reliable, relations must be found between the energy consumption during breakage and the structural properties. Of course, this requires an accurate description of the geometrical properties of the genuine and created discontinuity sets. The suggested model lies on two basic assumptions: the first is that initial fracture distribution is ruled by a fractal law already proposed by Turcotte and the second is that any fracture shape, on a size range to be specified, is accurately described by another scaling law. Some interesting properties result to the found relation between the Hukki's model of spent energy and the structural fractal model.</div>
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