Abstract:
The tensile strength is not independent of fragment size, but decreases with increasing size known as "size effect". Recent developments in fractal theory suggest that fractal model may provide a more realistic representation of solid particle crushing. A fractal model for crushing of rock particle is constructed using the Sammis model. The relationship between crushing strength and diameter and the relationship between crushing power and diameter of rock particle are simulated respectively. The porosity equals to 0.12 and 0.3 of rock particles, which are simulated using the bonded particle model(BPM) in particle flow code(PFC
2D). The relationship between crushing strength and diameter of particle is verified and can be expressed by
σf∝
dD-3. A relationship between crushing power and diameter of rock particle is expressed by
Ef∝
dD-1. The good application of fractal theory in the analysis of particle size effect in fractured rock is verified and the results provide a reference for determination of crushing strength.