Strength distribution of irregular ore particles based on Weibull distribution model
The strength distribution of irregular ore particles determines their fracture behavior and the particle size distribution of crushed products.In this paper,different forms of Weibull distribution models were used to fit the strength distributions of copper ore particles and tin ore particles of different sizes,and the parameters in different models were compared and analyzed.The results show that the two-parameter Weibull distribution model fits the strength distribution of the two ore particles well and the model parameters of the two ore particles (characteristic crushing strength σ0 and two-parameter Weibull distribution modulus m) decrease linearly with the increase of particle size d in the double logarithmic coordinate system.On the basis of the two-parameter Weibull distribution model,the two-stage Weibull distribution model and the three-parameter Weibull distribution model are constructed by introducing the weight factor w and the intensity threshold σth,respectively,and the fitting results of the strength distribution show that the two-stage Weibull distribution model can quantitatively describe the damage degree of shear failure and tensile failure to irregular ore particles during the whole crushing process,while the three-parameter Weibull distribution model can correct the deviation of the low-stress intensity data from the fitting curve of the two-parameter Weibull distribution model.The research results provide theoretical guidance for the determination of operating parameters and equipment selection of crushing equipment,and further enrich the theory and research methods of the strength distribution of irregular particles.
irregular ore particlesWeibull distribution modelbrittle material crushing characteristicsstrength distribution