基于分形理论的磨粒磨损模型

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。

Abrasive Wear Model Based on Fractal Theory

The abrasive wear model based on fractal parameter, which establishes the relation of wear rate to the fractal dimension and synthetically reflects the wear regularity and surface characterization of materials, is derived by the M - B fractal contact model and on the basis of the plastic deformation wear theory. This model shows that the wear rate increases speedily with decrease of fractal dimension in a certain range, and it increases slightly with increase of fractal dimension in another range. Trie minimum value of the wear rate is obtained when the fractal dimension equals to 1.5. When the fractal dimension is given, the wear rate is enhanced with the augment of scale factor and wear probability constant, or with the decrease of material property parameters. While giving other parameters, wear rate increases along with the increase of contact area.