颗粒材料破碎能耗分形理论研究

Study on Particle Crushing Energy with Fractal Theory

大理岩颗粒材料破碎具有分形特征,为了研究颗粒压缩破碎的分形特征,结合大量的单颗粒破碎试验,得出了颗粒破碎粒径分布图,将颗粒破碎的形态特征分为3类,指出破碎形态与颗粒形状的关系。同时根据试验结果,确立了颗粒破碎时的变形与粒径的关系,并以此为依据,首次建立了颗粒破碎能耗与分形维数的关系。基于压缩破碎的试验结果得出分形维数,试验选取的颗粒破碎的分形维数D为2.48。所有的结论都建立在试验的基础上,所用假设经过试验结果的验证,与试验结果十分吻合。

A large number of experimental studies have shown that marble particle crushing has fractal characteristics. The fractal model of particle crushing was described in this paper. Through crushing tests on single particle,the particle size distribution was obtained,and three patterns of particle crushing damage were described,and the relationship between crushing pattern and particle shape was presented. According to the results,the relationship between deformation when particle crushed and particle size was established. This research is the first attempt to determine the relathionship between particle crushing energy and fractal dimension through the use of fractal theory.The fractal dimension D obtained from the test is 2.48. All conclusions are based on experiments,and all the theory and derivation are verified to be well consistent with experimental results.