Analytical model of brittle destruction based on hypothesis of scale similarity

作者:Arakcheev A S*; Lotov K V
来源:Journal of Experimental and Theoretical Physics, 2012, 115(2): 242-248.
DOI:10.1134/S1063776112070023

摘要

The size distribution of dust particles in thermonuclear (fusion) devices is closely described by a power law, which may be related to the brittle destruction of materials. The hypothesis of scale similarity leads to the conclusion that the size distribution of particles formed as a result of a brittle destruction is described by a power law with the exponent -alpha that can range from -4 to -1. The model of brittle destruction is described in terms of the fractal geometry, and the distribution exponent is expressed via the fractal dimension of packing. Under additional assumptions, it is possible to refine the alpha value and, vice versa, to determine the type of destruction using the measured size distribution of particles.

  • 出版日期2012-8