一种考虑侧接触的微凸体弹塑性接触力学模型

朱林波 1; 庄艳 1; 洪军 1; 杨国庆 1; 2

doi:10.7652/xjtuxb201311009

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一种考虑侧接触的微凸体弹塑性接触力学模型

更新时间：2025-07-09

- 一种考虑侧接触的微凸体弹塑性接触力学模型
- Elastic-Plastic Model for Contact of Two Asperities Considering Shoulder-Shoulder Contact
- 西安交通大学学报 2013年47卷第11期页码：48-52+104
- 作者机构：
  
  西安交通大学机械制造系统工程国家重点实验室,西安,710049
- 作者简介：
- 基金信息：
  
  : 2013-03-11。作者简介: 朱林波(1985—),男,博士生;洪军(通信作者),男,教授,博士生导师。基金项目: 国家“863计划”资助项目(2012AA040703);国家自然科学基金资助项目(50935006)
- DOI：10.7652/xjtuxb201311009
  中图分类号： TH123
- 网络首发：2013-11-10，
  
  纸质出版：2013
- 稿件说明：
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朱林波 1, 庄艳 1, 洪军 1, 等. 一种考虑侧接触的微凸体弹塑性接触力学模型[J]. 西安交通大学学报, 2013,47(11):48-52+104.

Elastic-Plastic Model for Contact of Two Asperities Considering Shoulder-Shoulder Contact[J]. 2013, 47(11): 48-52+104.
朱林波 1, 庄艳 1, 洪军 1, 等. 一种考虑侧接触的微凸体弹塑性接触力学模型[J]. 西安交通大学学报, 2013,47(11):48-52+104. DOI： 10.7652/xjtuxb201311009.

Elastic-Plastic Model for Contact of Two Asperities Considering Shoulder-Shoulder Contact[J]. 2013, 47(11): 48-52+104. DOI： 10.7652/xjtuxb201311009.

摘要

为了准确预测复杂机械系统装配界面的接触特性

构建了一种考虑侧接触的微凸体弹塑性接触力学模型。利用塑性流动下体积守恒的原理

解决了单对微凸体在侧接触形式下接触力学模型难以表征的问题。以微凸体接触力学模型为基础

通过引入微凸体接触点处的等效曲率半径参数

结合装配界面微凸体、装配界面压力的分布规律

将微凸体接触特性扩展到复杂机械系统的整个装配界面。与弹性-塑性接触模型在接触载荷方面的预测结果比较表明

提出的微凸体侧接触弹塑性力学模型与弹性-塑性接触模型在弹性接触载荷预测方面基本相同

但在完全塑性接触载荷预测方面存在较大差异

且两者预测结果的差距随塑性指数和载荷的增加而增加

因此所提出的模型在完全塑性接触载荷预测方面更为接近有限元分析的结果。

Abstract

To precisely predict the contact performance of assembly interface in complex mechanical system

an elastic-plastic model considering shoulder-shoulder contact of two asperities is presented

which solves the difficulty in shoulder-shoulder contact modeling of asperity under the assumption of volume conservation in the plastic flow regime. Introducing the equivalent radius of curvature at a contact point between two asperities and considering the distributions of surface roughness and contact pressure

the prediction of contact behaviors can be spread from the asperities to the assembly interface in complicated mechanical system according to the proposed model. The numerical results of estimating contact force with the proposed model and the Elastic-Plastic Model show that both predictions for elastic contact force get coincident but obviously different for purely plastic contact force

and the difference increases with plastic degree. The prediction with the proposed model

compared with that with CEB

approaches to finite element analysis more closely.

关键词

Keywords

references

GREENWOOD J, WILLIAMSON J. Contact of nominally flat surfaces [J]. Proceedings of the Royal Society of London: Series A Mathematical and Physical Sciences, 1966, 295(1442): 300-319.

SEPEHRI A, FARHANG K. On elastic interaction of nominally flat rough surfaces [J]. Journal of Tribology, 2008, 130(1): 0110141-0110145.

CHANG W, ETSION I, BOGY D. An elastic-plastic model for the contact of rough surfaces [J]. Journal of Tribology, 1987, 109(2): 257-263.

ABDO J, FARHANG K. Elastic-plastic contact model for rough surfaces based on plastic asperity concept [J]. International Journal of Non-Linear Mechanics, 2005, 40(4): 495-506.

SEPEHRI A, FARHANG K. Closed-form equations for three dimensional elastic-plastic contact of nominally flat rough surfaces [J]. Journal of Tribology, 2009, 131(4): 0414021-0414028.

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LIOU Jengluen, LIN Jenfin. A new microcontact model developed for variable fractal dimension, topothesy, density of asperity, and probability density function of asperity heights [J]. Journal of Applied Mechanics, 2007, 74(4): 603-613.

JACKSON R L, KOGUT L. A comparison of flattening and indentation approaches for contact mechanics modeling of single asperity contacts [J]. Journal of Tribology, 2006, 128(1): 209-212.

CHUNG Jungching, LIN Jenfin. Variation in fractal properties and non-Gaussian distributions of microcontact between elastic-plastic rough surfaces with mean surface separation [J]. Journal of Applied Mechanics, 2006, 73(1): 143-152.

LIN Lipo, LIN Jenfin. An elastoplastic microasperity contact model for metallic materials [J]. Journal of Tribology, 2005, 127(3): 666-672.

庄艳, 李宝童, 洪军, 等. 一种结合面法向接触刚度计算模型的构建 [J]. 上海交通大学学报, 2013, 47(2): 180-186.

ZHUANG Yan, LI Baotong, HONG Jun, et al. A normal contact stiffness model of the interface [J]. Journal of Shanghai Jiaotong University, 2013, 47(2): 180-186.

庄艳. 机械系统装配结合面法向接触刚度的研究 [D]. 西安: 西安交通大学, 2012.

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