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FRACTAL FRAGMENTATION WITH UNEQUAL PROBABILITY AND THE FRACTAL OF FRAGMENTS IN ALIMITED SCALE
不等概率分形破碎及有限尺度破碎体分形

Keywords: rock mechanics,fractal geometry
岩石力学
,分形几何,不等概率

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Abstract:

This paper gives a discussion about the uniformity between two kinds of the fragments fractal,somefeature of the fractals in a limited scale,and the fractal fragmentation with unequal probabitily.It gives ademenstration of the following points.When the scale scope is wide enough,the two fractals are approximate,and the grading of the fractals can be any section of that in a larger scale scope;if the scale scope re-mains consistent,the fractal dimensio n not only reflects the particle distribution,but also desides thefineness of grading;in ordinary circumstances,the fragmentation which meet the requirements of fractaldistribution are not definitely with equal probability,if D>3,the fragmentation must be limited,and mayalso be if D<3,but this depends on the amount allotment between the sound and fragile elements after theinitial fragmentation.In the end,this paper suggests the method to infer the actual fractal fragmentation process in some cases.

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