Abstract:The impact crushing probability of coal particles was investigated based on fractal statistical strength theory. The function relations between impact crushing probability of coal particles and maximum contact pressure stress were obtained by the hypothesis of the Hertz contact. Combined with the impact dynamics theory, the fractal model of impact crushing probability was established. The impact crushing experiments of coal particles in different mines were taken. The statistical analysis shows that the impact crushing probability and impact velocity are linear relation on the logarithmic coordinate, which indicates that the impact crushing probability of coal particles is well described by the fractal model. The impact crushing probability of coal particles under different impact velocity and the needed impact velocity crushing all coal particles, which provide the theoretical direction for the evaluation of impact crushing effect and the determination of the impact velocity, can be both obtained after the fractal dimension and the crushing constant of the fractal model are determined by experiments.