In addition to simple harmonic interactions between crystals, there are still non-harmonic forces

One of the methods to improve the grinding efficiency is to thermodynamically pretreat the ore so that it will produce initial cracks. These cracks will further expand during the grinding and cause the ore to crack. There are many methods for thermodynamic pretreatment. I believe that the material to be milled is cooled (such as in air or liquid nitrogen) before it is used. Fractal theory is used to analyze the fractal fracture of ore after cooling treatment. The principle and efficiency of the equipment are expected to be broken down after grinding efficiency (ie, cooling and then grinding) so that feedforward control of the breaking process can be achieved, thereby saving energy. Even if the feed-in control process is adopted, cracks will be generated in the ore after cooling treatment. It will be a beneficial exploration to improve the crushing efficiency and save energy.

The cooling treatment causes the material to crack, which is theoretically based on thermodynamics. This phenomenon is difficult to explain with the theory that the atomic thermal motion harmonic force acts as a micro-vibration near the lattice node. Because the atoms do simple harmonic vibration, the temperature change can only change the magnitude of the amplitude and cannot change the position of the equilibrium point. However, in reality, apart from simple harmonic interactions between atoms, there are still non-harmonic forces. The intact crystal shrinks uniformly and no cracks are produced inside the crystal. However, due to defects (dislocations and cracks, etc.) in most crystals, the crystals are not uniformly shrunk. The stress caused by such uneven shrinkage accumulates to a certain degree. When the crystal exceeds the fracture resistance, crystals appear through the interior of the crystal. fracture. The grain boundary exists in the polycrystal, which is the weak link between the crystal and the crystal. The uneven shrinkage between different crystals can easily cause intergranular fracture.

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