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Analytical model of brittle destruction based on hypothesis of scale similarity

机译：基于尺度相似性假设的脆性破坏分析模型

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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 -α 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 α value and, vice versa, to determine the type of destruction using the measured size distribution of particles.
机译：功率定律严格描述了热核（聚变）设备中灰尘颗粒的尺寸分布，这可能与材料的脆性破坏有关。尺度相似性的假设得出这样的结论：由于脆性破坏而形成的颗粒的尺寸分布由幂定律描述，指数-α的范围为-4到-1。用分形几何学描述了脆性破坏模型，分布指数通过堆积的分形维数表示。在其他假设下，可以细化α值，反之亦然，可以使用测得的颗粒尺寸分布确定破坏类型。

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