刚度连续、单调且光滑变化的粗糙界面法向弹塑性接触模型

An elastoplastic contact model for rough surface contact with continuous,monotonous and smooth stiffness

提出一种新的基于低阶椭圆曲线方程的微凸体法向弹塑性接触刚度模型。进一步基于粗糙表面形貌的Greenwood-Williamson统计模型和微凸体高度分布概率密度函数,推导整个粗糙界面接触刚度和接触载荷表达式,建立粗糙界面接触的总刚度模型,并将模型计算结果与实验测量结果进行对比分析。研究结果表明:该模型考虑粗糙界面的弹性变形、弹塑性变形和完全塑性变形接触状态,且同时满足不同接触状态之间微凸体的接触刚度、接触载荷和接触面积均连续、单调且光滑变化的条件,克服了以往模型存在的接触刚度非连续、非单调的缺点;本文建立的粗糙界面接触刚度模型有效。

A new elastoplastic contact stiffness model based on the low order elliptic curve was proposed for single asperity contact.The Greenwood-Williamson model was used for surface topography description and the whole contact stiffness for the rough surface was further derived based on the height distribution density function for asperities,and the whole contact stiffness model was established for the rough interface contact.The model predictions were compared with the experimental results.The results show that the proposed model can be used to describe the different contact status of elastic,elstoplastic and fully plastic contact and make the contact parameters of stiffness,force and area all continuous,monotonous and smooth between different contact status,which overcomes the shortcomings of non-continuous and non-monotonous in previous models,the proposed model has validity.