考虑微凸体相互作用的确定性接触模型  

A Deterministic Contact Model Considering the Interaction between Asperities

作　　者：王庆朋[1,2] 张力 陈斌[1] 耿杨涛[1] WANG Qingpeng;ZHANG Li;CHEN Bin;GENG Yangtao(College of Automotive Engineering, Chongqing University, Chongqing 400044, China;College of Mechanical and Electrical Engineering, Henan Agricultural University, Zhengzhou 450002, China)

机构地区：[1]重庆大学汽车工程学院,重庆400044 [2]河南农业大学机电工程学院,郑州450002

出　　处：《西安交通大学学报》2018年第3期91-97,共7页Journal of Xi'an Jiaotong University

基　　金：国家自然科学基金资助项目(51175530)

摘　　要：为了分析粗糙表面上微凸体相互作用对接触特性造成的影响,在确定性接触模型的基础上,通过增加几何重叠和固体表面能等约束条件,并且根据材料守恒原理对相互作用的微凸体进行合并。通过不同的法向变形量、采样间隔和粗糙度,分析微凸体相互作用对接触面积、峰数量、平均峰半径和峰高度的影响,并且与未考虑微凸体相互作用的结果进行对比。结果表明:不论是否考虑微凸体相互作用,接触面积与法向载荷的关系均为线性,这与已有结论是吻合的;对于小的法向变形量和大的采样间隔,微凸体相互作用可以忽略,但随着法向变形量增加、采样间隔减小以及不同的粗糙度,对接触特性的影响愈加明显,与未考虑微凸体相互作用的结果相比,微凸峰数量减少,而接触面积、平均峰半径和峰高度增加。引入几何重叠和固体表面能为考虑微凸体相互作用提供了一个行之有效的研究方法。The interaction between asperities is considered to investigate the contact properties of rough surfaces.This is achieved by adding constraints of overlapping contact spots and the surface energy of solid to the deterministic contact model,and merging them to form an integral one with equivalent area.The effects of the interaction between asperities on the contact area,the number of asperity peaks,the mean asperity-peak radius and height are analyzed through different normal displacements,sampling intervals and roughness values,and compared with the results of independent asperities.The results show that the linearity between contact area and normal load agrees well with existing work,no matter whether the interaction between asperities is taken into account.At small normal displacements and large sampling intervals,the interaction between asperities is almost negligible.However,the interaction may become more significant when larger normal displacements,smaller sampling intervals and different roughness values are applied,leading to the decrease of the number of asperity peaks,and the increase of the contact area,mean asperity-peak radius and peak height in contrast to the results of independent asperities.It can provide an effective method to consider the asperity interaction by introducing geometrical overlap and surface energy of solid.

关 键 词：微凸体 相互作用 确定性接触模型 接触特性 

分 类 号：O343.3[理学—固体力学]