Geometrical Statistics and Fractal Method for the Fragment Distribution of Dynamic Loading
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摘要: 介绍了物体动力破碎后碎块大小分布的二种统计方法,一为应用Grady和Kipp推广证明的Mott公式,另一为分形。文中证明了二者的一致性,并从前者导得了后者,并解释了它们的物理实质。Abstract: In this paper, two statistical Methods for the fragment distribution of dynamic loading are introduced. The one is the Mott formula generalized by Grady and Kipp, the other is the fractal method. The author has proved that the two methods are in agreement with each other, that the latter can be deduced from the former. The physical essences of the two methods are described.
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Mott N F, Linfoot E H. Ministry of Supply, AC 3348, 1943. Grady D E, Kipp M E. J Appl Phys, 1985, 56(3): 1210-1222. Xie Heping. In: Balkema A A ed. Fractals in Rock Mechanics. Rotterdam, Netherlands, 1993: 245-246. Bennett J G. J Inst Fuel, 1936, 10: 22-39. Schoutens J I. Nuclear Geophysics Sourcebook Vol. 55, Part 2, Section 4. DNA650111-4-2, 1979. Fujiwara A, et al. Icarus, 1977, 31: 277-288.
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