基于动荷载作用花岗岩破碎碎块的分形特征与能量的相关性

利用直径50 mm的霍普金森试验装置，研究花岗岩试件冲击破碎碎块的分形特征和耗散能量的关系.结果表明破碎花岗岩每单位体积所需要的能量和岩块尺寸、特征尺寸、均匀性系数、块度分形维数等有较大的相关性，比耗散能量和块度分形维数的关系更接近于自相似的特征；扫描电镜图像和耗散能量与碎块表面的分形维数的关系，显示了较低的耗散能量使花岗岩内部微裂纹沿晶破坏成碎块，较高的耗散能使花岗岩内部的微裂纹既有沿晶破坏又有穿晶破坏，且碎块表面的分形维数反映了碎块表面的破坏程度.

Correlation Between Fractal Characteristics and Energy of Granite Fragments Based on Dynamic Load

The relationship between granite''s fractal characteristics of impacting fragments and dissipative energy based on split Hopkinson test device was investigated. The results show that there is a significant correlation to break per volume of the granite between the required energy and rock block size, feature size, uniformity coefficient, fractal dimension of fragmentation. It is more closer to the self-similarity characteristics than the block fractal dimension. The relationship between electron microscope image, dissipation energy and fragments surface''s fractal dimension showed that lower dissipation energy broken the granite''s inside microcracks into pieces along intergranular fracture. Higher dissipation of dissipation energy could make the granite''s inside microcracks break into pieces with both transgranular failure and intergranular fracture. The fragment surfaces''s fractal dimension reflected the damage degree of the fragment surfaces.