A new method for studying the evolution of particle breakage

This paper proposes a simple method for studying the evolution of particle breakage. A two-parameter statistical model is first proposed to describe the distribution of new particles generated from breakage of an initially uniformly graded sample. A Markov chain model is then proposed to describe the particle size evolution of non-uniformly graded samples. The two-parameter statistical model is shown to be able to capture different breakage patterns such as asperity breakage and particle splitting observed during breakage of uniformly graded samples. In the Markov chain model, it is shown that the concept of ‘effective breakage probability’, proposed to define the relative breakage extent of the whole sample, is comparable to a well-established breakage index in the literature. Both models are successfully validated against experimental data, where the characteristics of the model parameters and the engineering implications are discussed.