New Approach for Predicting Particle Breakage of Granular Material Using the Grey System Theory

Abstract

This paper presents a quantitative analysis and prediction of the process of particle breakage, from the initial state of one particle size fraction (PSF) to the ultimate state of stable grading. The effect of particle shape on the research results was analyzed. The one-dimensional confined compaction test was used to study the particle breakage under different compaction scenarios, with W indicating work done during one compaction and N indicating multiple compactions. The entire process was analyzed using the prediction model of the grey system theory. The results from the analysis demonstrate that the prediction model was superior because it simulated the breakage process, which could not be generated by the limited W and N. The demarcation lines, where the mass percentage of newly generated PSFs started to decline, were calculated and verified. The process of change in fractal dimensions and relative breakage with W was divided into four stages: intense breakage, fast breakage, slow breakage, and creep breakage. Each stage was analyzed to determine the change in PSFs that supported the impact load. The present studies provide insight into the micromechanism of the effect of impact loads on particle crushing and the breakage priority of different PSFs before it becomes steady.