一种改进的粗糙表面法向弹塑性接触解析模型

徐超; 王东

doi:10.7652/xjtuxb201411020

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一种改进的粗糙表面法向弹塑性接触解析模型

更新时间：2025-07-09

- 一种改进的粗糙表面法向弹塑性接触解析模型
- An Improved Analytical Model for Normal Elastic-Plastic Contact of Rough Surfaces
- 西安交通大学学报 2014年48卷第11期页码：115-121
- 作者机构：
  
  西北工业大学航天学院,西安,710072
- 作者简介：
- 基金信息：
  
  : 2014-04-04。作者简介: 徐超(1979—),男,副教授。基金项目: 国家自然科学基金资助项目(11372246)
- DOI：10.7652/xjtuxb201411020
  中图分类号： O343.3
- 网络首发：2014-11-10，
  
  纸质出版：2014
- 稿件说明：
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徐超, 王东. 一种改进的粗糙表面法向弹塑性接触解析模型[J]. 西安交通大学学报, 2014,48(11):115-121.

An Improved Analytical Model for Normal Elastic-Plastic Contact of Rough Surfaces[J]. 2014, 48(11): 115-121.
徐超, 王东. 一种改进的粗糙表面法向弹塑性接触解析模型[J]. 西安交通大学学报, 2014,48(11):115-121. DOI： 10.7652/xjtuxb201411020.

An Improved Analytical Model for Normal Elastic-Plastic Contact of Rough Surfaces[J]. 2014, 48(11): 115-121. DOI： 10.7652/xjtuxb201411020.

摘要

针对现有各种粗糙表面接触模型存在的不足

提出一种改进的粗糙表面法向弹塑性接触解析模型

该模型同时考虑了微凸体完全弹性、弹塑性和完全塑性3种变形状态。对完全弹性和完全塑性变形阶段

采用经典弹性接触和塑性接触力学公式进行建模; 对混合弹塑性变形阶段

提出一种利用低阶椭圆曲线插值进行解析建模的方法。进一步

利用概率统计分析方法建立了粗糙表面法向弹塑性接触模型。将该模型与公开文献中的其他模型进行了对比

结果表明:该模型能够描述出微凸体接触状态变量随法向接近量单调、连续和光滑的变化过程

并且能够对粗糙表面法向弹塑性接触行为进行建模; 模型的预测结果和基于有限元结果的经验模型的预测结果接近。

Abstract

An improved analytical model for elastic-plastic contact in the normal direction of rough surfaces is developed. The problem can be considered in three separated phases: the elastic phase

the mixed elastic-plastic phase

and the fully plastic phase. In the elastic phase

Hertz's elastic contact formulations are used; in the fully plastic phase

classic fully plastic contact assumptions are used; and for the mixed elastic-plastic phase

the contact behavior is approximated by an elliptic curve interpolation. The contact model of the rough surfaces is then formulated using probability and statistics theory. The developed model is compared with other classical models. It is shown that the proposed model can describe the monotonic

smooth and continuous changing relationship of asperity's contact state variables with the normal contact displacement. The proposed model can model the contact behavior of the rough surface and agrees well with the finite-element based rough surface contact model.

关键词

Keywords

references

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