大理岩冲击加载试验碎块的分形特征分析

应用分形几何的方法对冲击加载试验中大理岩破碎块度分布进行统计分析。结果表明，大理岩的冲击破碎块度分布具有分形特征，采用破碎分形维数对岩石破碎过程进行定量描述，可以合理地反映大理岩冲击破碎的程度；大理岩的平均破碎块度与冲击加载速率有着较强的相关性，随着加载速率的提高迅速减小；建立了能量吸收与破碎分维的关系，从能量吸收的角度可以较好地解释破碎分维的变化规律。破碎分维是评价岩石冲击破碎块度分布的理想指标，可较为全面地反映岩石冲击破碎的全过程。

Research on fractal characteristics of marble fragments subjected to impact loading

The size distribution of marble fragmentation subjected to impact loading is analyzed statistically from the view of fractal geometry. The result indicates that the fragment-size distribution of fragments has fractal property. Fractal dimension can quantitatively describe the fragment distribution characteristics of fracture process of marble; and can reflect the fragmentation degree reasonably. There is obvious relativity between the average fragment-size of marble and impact loading speed; but the relativity declines with the increase of loading speed. Subsequently, the relationship between the specific energy absorption and fractal dimension is established. It is illustrated that energy absorbency of marble is crucial factors influencing the changes of fractal dimension. The fractal dimension is an appropriate parameter which generally indicates the whole process of rock fragmentation.