Abstract:

A new contact model among rough surfaces was presented based on fractal theory. Y-K fractal model was revised to include all of the elastic, elastic-plastic, and fully plastic deformation regimes for asperity of the fractal surfaces. The two dimensional Y-K model was extended to a new one for three dimensional fractal contact. It is shown that simulation results from revised fractal contact agree with test one better than Y-K contact model, especially under large load. Thus the presented revised fractal contact model can provide more reasonable method for the prediction of contact behaviors among rough surfaces with more accurate than that of Y-K model relatively.

Key words: fractal theory, asperity, rough surface, contact

摘要：

基于分形理论,建立了粗糙表面的接触行为预估模型,采用了包含弹性、弹塑性和塑性全状态的微凸体接触模型并将其扩展到粗糙表面接触问题,实现了对传统二维分形粗糙表面接触模型的修正,构建了三维分形接触模型。通过计算结果与实验数据的对比可知：修正后的三维分形接触模型(修正Y-K模型)的计算结果与实验测试值比较接近,而Y-K模型的计算结果则与实验值相差甚远,尤其是在载荷较大时。修正Y-K模型的结果虽然与实验值有一定差距,但相较Y-K模型已有了相当的改善,为分形接触计算提供了更为准确的理论方法。
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关键词: 分形, 微凸体;粗糙表面;接触