Abstract: A large number of experimental studies have shown that marble particle crushing has fractal characteristics. The fractal model of particle crushing was described in this paper. Through crushing tests on single particle, the particle size distribution was obtained, and three patterns of particle crushing damage were described, and the relationship between crushing pattern and particle shape was presented. According to the results, the relationship between deformation when particle crushed and particle size was established. This research is the first attempt to determine the relathionship between particle crushing energy and fractal dimension through the use of fractal theory. The fractal dimension D obtained from the test is 2.48. All conclusions are based on experiments, and all the theory and derivation are verified to be well consistent with experimental results.

Key words: particle crushing, fractal model, fractal dimension, crushing energy consumption, particle shape