Fractal crushing of solid particles

摘要

It does not have widely accepted theory to study particle crushing up to now because of the complex and irregular physical structure of the particles. Fractal theory, which employs statistical concepts in order to explain particle crushing, may provide a solution to this problem. The particle size distributions are introduced to determine the fractal dimension. The relationship among the particle size, the crushing strength, crushing energy and the probability of survival of the particles are established based on the fractal model. The theoretical results are based on the spherical particles and ideal crushing experiments under static load. A total of 500 single slag particle crushing tests are carried out for natural slag particles of 2 to 35 mm in diameter. The agreement between the experimental and the theoretical results of the slag particles seems to be satisfactory. The method introduced in this paper not only apply to slag particles, but also any other fractal particles.