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本文在M-B接触分形模型的基础上,根据塑变磨损理论导出了基于分形参数的磨粒磨损模型,建立了磨损率与分形维数之间的关系,综合反映了材料的磨损规律和表面特性。根据该模型可知,当分形维数在某一范围时,磨损率随分形维数的减小而迅速增大;而在另一范围时,磨损率随分形维数的增大而增大;当分形维数等于1.5时,磨损率达到最小值。当分形维数一定时,磨损率随尺度系数、磨损概率常数的增大而增大,随材料性能参数的增大而减小;当其余各影响参数保持一定值时,磨损率随接触面积的增大而增大。
Based on the M-B contact fractal model, the abrasive wear model based on the fractal parameters was deduced based on the M-B contact fractal model. The relationship between the wear rate and the fractal dimension was established, which reflected the wear law and the surface characteristics of the material. According to the model, when the fractal dimension is within a certain range, the wear rate increases rapidly with the decrease of fractal dimension. In the other range, the wear rate increases with the increase of fractal dimension. When the shape dimension is equal to 1.5, the wear rate reaches the minimum value. When the fractal dimension is constant, the wear rate increases with the increase of scale coefficient and wear probability constant, and decreases with the increasing of the material performance parameters. When the rest of the influence parameters keep a certain value, the wear rate increases with the contact area Increase and increase.