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Of particular interest is the work of Sammis and King (2007) who proposed a theoretical model called “the constrained comminution model” for the case of large strain fault gouge where collisions between isolated grains occurred. The model exhibits an ultimate gsd with an upper bound of the fractal dimension αmax=2.0 for the two dimension case and αmax=3.0 for three dimensions. Another important contribution is the work of Imre et al. (2005) who studied the evolving gsd of soil samples subjected to crushing via the concept of statistical entropy. Samples were subjected to a series of crushing. Each time the sample contained in the crushing pot was subjected to a compressive load of 25kN. After the compression of the sample, it was removed from the crushing pot and the gsd of the crushed sample was measured. Then, the crushed sample was returned to the pot for another crushing. Their results suggested that as the number of crushing treatments becomes large, the grading entropy had been maximized and the gsd clearly tend to attain an ultimate fractal distribution with αmax=3.0.", "listPosition" : 1, "context" : "The ultimate size distribution of polydisperse disk packings was studied by Aste (1996) who proposed an upper bound of the fractal dimension αmax=2.0 for the case of disordered packing where the particles have random sizes and positions. Of particular interest is the work of Sammis and King (2007) who proposed a theoretical model called “the constrained comminution model” for the case of large strain fault gouge where collisions between isolated grains occurred. The model exhibits an ultimate gsd with an upper bound of the fractal dimension αmax=2.0 for the two dimension case and αmax=3.0 for three dimensions. Another important contribution is the work of Imre et al. (2005) who studied the evolving gsd of soil samples subjected to crushing via the concept of statistical entropy. Samples were subjected to a series of crushing. Each time the sample contained in the crushing pot was subjected to a compressive load of 25kN. After the compression of the sample, it was removed from the crushing pot and the gsd of the crushed sample was measured. Then, the crushed sample was returned to the pot for another crushing. Their results suggested that as the number of crushing treatments becomes large, the grading entropy had been maximized and the gsd clearly tend to attain an ultimate fractal distribution with αmax=3.0.", "published" : false, "snippet" : true } ], "mentionCount" : 1, "link" : "/api/citation/24083583", "label" : "Oded Ben-Nun. Confined Comminution of Granular Materials: Self-Organisation, Attractors and Patterns. (2010)", "template" : "