Research on impact fracture of rock based on fractal theory

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Journal of Vibration and Shock ›› 2013, Vol. 32 ›› Issue (5) : 163-166.

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Research on impact fracture of rock based on fractal theory

LIU Shi 1，XU Jin-yu 1,2，BAI Er-lei 1, GAO Zhi-gang1

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Abstract

The impact experiment is made on the sericite-quartz schist and sandstone samples with SHPB apparatus of 100mm in diameter, and the fragment-size distribution of fragmental rocks is obtained through sieving and statistics of rock samples. Fractal dimensions of sericite-quartz schist and sandstone are calculated by using fractal geometric methods and the relationship between the dynamic compressive strength and the fractal dimensions of two rocks are analyzed. The experimental results indicate that the values of fractal dimensions of sericite-quartz schist range from 1.9 to 2.4 and the values of fractal dimensions of sandstone range from 2.5 to 3.0. The fractal dimensions of two rocks increase linearly with increasing in impact speed. However, the dynamic compressive strength of sericite-quartz schist has no obvious correlation with the fractal dimensions and the dynamic compressive strength of sandstone increases with increasing in fractal dimensions. Thus using the fractal dimensions to describe the dynamic compressive strength of two rocks may provide a new approach to investigate the inherence law between fractal characteristics and impact mechanical properties of rock materials.

Key words

rock fragmentation / fragment-size distribution / fractal / fractal dimension / dynamic compressive strength

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LIU Shi;XU Jin-yu;BAI Er-lei;GAO Zhi-gang. Research on impact fracture of rock based on fractal theory[J]. Journal of Vibration and Shock, 2013, 32(5): 163-166