考虑微凸体相互作用的确定性接触模型

王庆朋 1; 2; 张力 1; 陈斌 1; 耿杨涛 1

doi:10.7652/xjtuxb201803013

您当前的位置：

首页 >

文章列表页 >

考虑微凸体相互作用的确定性接触模型

更新时间：2025-07-09

- 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
- 西安交通大学学报 2018年52卷第3期页码：91-97
- 作者机构：
  
  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
- 作者简介：
- 基金信息：
  
  : 2017-07-17。作者简介: 王庆朋(1987—),男,博士生;张力(通信作者),男,教授,博士生导师。基金项目: 国家自然科学基金资助项目(51175530)
- DOI：10.7652/xjtuxb201803013
  中图分类号： O343.3
- 网络首发：2018-03-10，
  
  纸质出版：2018
- 稿件说明：
移动端阅览
王庆朋 1, 2, 张力 1, 等. 考虑微凸体相互作用的确定性接触模型[J]. 西安交通大学学报, 2018,52(3):91-97.

A Deterministic Contact Model Considering the Interaction between Asperities[J]. 2018, 52(3): 91-97.
王庆朋 1, 2, 张力 1, 等. 考虑微凸体相互作用的确定性接触模型[J]. 西安交通大学学报, 2018,52(3):91-97. DOI： 10.7652/xjtuxb201803013.

A Deterministic Contact Model Considering the Interaction between Asperities[J]. 2018, 52(3): 91-97. DOI： 10.7652/xjtuxb201803013.

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。

Abstract

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

Keywords

references

GREENWOOD J A, WILLIAMSON J B P. Contact of nominally flat surfaces [J]. Proceedings of the Royal Society of London, 1966, 295: 300-319.

BUSH A W, GIBSON R D, THOMAS T R. The elastic contact of a rough surface [J]. Wear, 1975, 35(1): 87-111.

CIAVARELLA M, GREENWOOD J A, PAGGI M. Inclusion of “interaction” in the Greenwood and Williamson contact theory [J]. Wear, 2008, 265(5/6): 729-734.

AFFERRANTE L, CARBONE G, DEMELIO G. Interacting and coalescing Hertzian asperities: a new multiasperity contact model [J]. Wear, 2012, 278/279(5): 28-33.

MAJUMDAR A, BHUSHAN B. Fractal model of elastic-plastic contact between rough surfaces [J]. ASME Journal of Tribology, 1991, 113(1): 1-11.

杨楠, 陈大融, 孔宪梅. 多粗糙峰弹塑性接触的有限元分析 [J]. 摩擦学学报, 2000, 20(3): 202-206.

YANG Nan, CHEN Darong, KONG Xianmei. Elastic-plastic finite element analysis of multi-asperity contacts [J]. Tribology, 2000, 20(3): 202-206.

HYUN S, PEI L, MOLINARI J F, et al. Finite-element analysis of contact between elastic self-affine surfaces [J]. Physical: Review E Statistical Nonlinear and Soft Matter Physics, 2004, 70(2): 188-206.

SUN F W, GIESSEN E V, NICOLA L. Interaction between neighboring asperities during flattening: a discrete dislocation plasticity analysis [J]. Mechanics of Materials, 2015, 90: 157-165.

PERSSON B N J. Contact mechanics for randomly rough surfaces: on the validity of the method of reduction of dimensionality [J]. Tribology Letters, 2015, 58(1): 1-4.

王庆朋, 张力, 杜宝程, 等. 粗糙表面确定性接触模型中峰的再定义 [J]. 西安交通大学学报, 2016, 50(11): 115-120.

WANG Qingpeng, ZHANG Li, DU Baocheng, et al. Re-definition of asperity-peak for deterministic contact model on rough surfaces [J]. Journal of Xi'an Jiaotong University, 2016, 50(11): 115-120.

王庆朋, 张力, 尚会超, 等. 考虑应变硬化的混合弹塑性接触模型 [J]. 西安交通大学学报, 2016, 50(2): 132-137.

WANG Qingpeng, ZHANG Li, SHANG Huichao, et al. Mixed elastic-plastic contact model considering strain hardening [J]. Journal of Xi'an Jiaotong University, 2016, 50(2): 132-137.

JAMARI J, SCHIPPER D J. Experimental investigation of fully plastic contact of a sphere against a hard flat [J]. ASME Journal of Tribology, 2006, 128: 230-235.

CARBONE G, BOTTIGLIONE F. Asperity contact theories: do they predict linearity between contact area and load [J]. Journal of the Mechanics and Physics Solids, 2008, 56(8): 2555-2572.

PAGGI M, CIAVARELLA M. The coefficient of proportionality κ between real contact area and load with new asperity models [J]. Wear, 2010, 268(7/8): 1020-1029.

张斌, 徐锦芬, 高志, 等. 摩擦过程中真实接触面积的灰色分析 [J]. 摩擦学学报, 1996, 16(1): 61-69.

ZHANG Bin, XU Jinfen, GAO Zhi, et al. Grey model analysis on real contact area during friction process [J]. Tribology, 1996, 16(1): 6169.

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

一种考虑侧接触的微凸体弹塑性接触力学模型

一种改进的粗糙表面法向弹塑性接触解析模型

自仿射接触点及其在分形接触理论中的应用

考虑应变硬化的混合弹塑性接触模型

粗糙表面的加卸载分形接触解析模型