Kinetic Theory Of Crushing: Breakage Of Ore Layer Between Two Planes

A new kinetic approach to simulation of fracture is given. The main object of the simulation is forecasting transformation of ore lumps size distribution in squeezing of ore layer between two planes. The approach rests on fundamental principles of energy and mass conservation and on new ideas about fracture physics connected with fractal geometry. On this base an integro-differen tial equation of layer crushing kinetics is formulated. This equation is similar to well-known kinetic equation of grinding, but here we use elastic energy density in place of time as an independent variable while selection function is considered by us to be dependent on this variable. Properties of the equation have been investigated by us and its analytical solution has been found. It allows to compute simultaneously both the evolution of the size distribution process of squeezing and force-displacement diagram. Results of theoretical calculations provide a good fit with experimental data.