考虑应变硬化的混合弹塑性接触模型

王庆朋; 张力; 尚会超; 唐志刚

doi:10.7652/xjtuxb201602022

您当前的位置：

首页 >

文章列表页 >

考虑应变硬化的混合弹塑性接触模型

更新时间：2025-07-09

- 考虑应变硬化的混合弹塑性接触模型
- A Mixed Elastic-Plastic Contact Model Considering Strain Hardening
- 西安交通大学学报 2016年50卷第2期页码：132-137
- 作者机构：
  
  重庆大学汽车工程学院,重庆,400044
- 作者简介：
- 基金信息：
  
  : 2015-06-03。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/xjtuxb201602022
  中图分类号： O343.3
- 网络首发：2016-02-10，
  
  纸质出版：2016
- 稿件说明：
移动端阅览
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.

A Mixed Elastic-Plastic Contact Model Considering Strain Hardening[J]. 2016, 50(2): 132-137.
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. DOI： 10.7652/xjtuxb201602022.

A Mixed Elastic-Plastic Contact Model Considering Strain Hardening[J]. 2016, 50(2): 132-137. DOI： 10.7652/xjtuxb201602022.

摘要

为了更加真实地反映粗糙表面的实际接触情况

根据表面微凸体变化的连续性、单调性和光滑性原理提出了一种新的混合弹塑性接触模型。该模型在球体初始接触时

就考虑更小微凸体的塑性变形和较大变形量时的应变硬化。通过反正切函数构建一组函数

用来表征接触过程中变形状态的变化

利用Meyer硬度指数反映应变硬化的影响

进而导出接触面积和接触载荷的数学表达式。通过采用文献中已有的铜、铝合金和纯镍材料的实验测试结果

以及文献中不同的弹塑性接触模型的计算结果进行对比分析

结果表明

该模型的计算结果能够很好地与实验测试结果吻合

尤其是在大变形量、出现应变硬化的情况下

更能体现出该模型的优势。

Abstract

A new mixed elastic-plastic model for the real contact is developed to consider both plastic response of smaller asperity and strain hardening effects. It is assumed that the contact behavior is continuous

monotonic and smoothing. An arc-tangent function is used to express different contact status

and the Meyer hardness exponent is used to reflect the effect of strain hardening. Then a math model for both the contact area and the contact load is derived. The proposed model is tested using experimental results for copper

aluminum alloy and nickel reported in the literature

and compared with other contact models in the literature. The proposed model shows a good agreement with experimental results and a big advantage especially when strain hardening occurs.

关键词

Keywords

references

HERTZ H. On the contact of elastic solids [J]. Journal fur die Reine und Andgewandte Mathematic, 1882, 92: 156-171.

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

ABBOTT E J, FIRESTONE F A. Specifying surface quality: a method based on accurate measurement and comparison [J]. Mechanical Engineering, 1933, 55: 569-572.

PULLEN J, WILLIAMSON B P. On the plastic contact of rough surfaces [J]. Proceedings of the Royal Society of London: Series A, 1972, 327: 159-173.

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

ZHAO Y W, MAIETTA D M, CHANG L. An asperity microcontact model incorporating the transition from elastic deformation to fully plastic flow [J]. ASME Journal of Tribology, 2000, 122(1): 86-93.

赵永武, 吕彦明, 蒋建忠. 新的粗糙表面弹塑性接触模型 [J]. 机械工程学报, 2007, 43(3): 95-101.

ZHAO Yongwu, LÜ Yanming, JIANG Jianzhong. New elastic-plastic model for the contact of rough surfaces [J]. Journal of Mechanical Engineering, 2007, 43(3): 95-101.

BRAKE M R. An analytical elastic-perfectly plastic contact model [J]. International Journal of Solids and Structures, 2012, 49(22): 3129-3141.

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.

XU Chao, WANG Dong. An improved analytical model for normal elastic-plastic contact of rough surfaces [J]. Journal of Xi'an Jiaotong University, 2014, 48(11): 115-121.

BRAKE M R. An analytical elastic plastic contact model with strain hardening and frictional effects for normal and oblique impacts [J]. International Journal of Solids and Structures, 2015, 62(1): 104-123.

KOGUT L, ETSION I. Elastic-plastic contact analysis of a sphere and a rigid flat [J]. Journal of Applied Mechanics, 2002, 69(5): 657-662.

JACKSON R L, GREEN I. A finite element study of elasto-plastic hemispherical contact against a rigid flat [J]. ASME Journal of Tribology, 2005, 127(2): 343-354.

朱林波, 庄艳, 洪军. 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.

ZHU Linbo, ZHUANG Yan, HONG Jun. Elastic-plastic model for contact of two asperities considering shoulder-shoulder contact [J]. Journal of Xi'an Jiaotong University, 2013, 47(11): 48-52.

TABOR D. The hardness of metals [M]. Oxford, UK: Oxford University Press, 1951.

KOGUT L, ETSION I. A static friction model for elastic-plastic contacting rough surfaces [J]. ASME Journal of Tribology, 2004, 126(1): 34-40.

YU W, BLANCHARD J P. An elastic-plastic indentation model and its solutions [J]. Journal of Materials Research, 1996, 11(9): 2358-2367.

SWADENER J G, GEORGE E P, PHARR G M. The correlation of the indentation size effect measured with indenters of various shapes [J]. Journal of the Mechanics and Physics of Solids, 2002, 50(4): 681-694.

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(2): 230-235.

THORNTON C. Coefficient of restitution for collinear collisions of elastic perfectly plastic spheres [J]. Journal of Applied Mechanics, 1997, 64(2): 383-386.

STRONGE W J. Impact mechanics [J]. Cambridge, UK: Cambridge University Press, 2000.

DU Y, WANG S. Energy dissipation in normal elastoplastic impact between two spheres [J]. Journal of Applied Mechanics, 2009, 76(6): 1089-1094.

ALCALÀ J, GIANNAKOPOULOS A E, SURESH S. Continuous measurements of load-penetration curves with spherical microindenters and the estimation of mechanical properties [J]. Journal of Materials Research, 1998, 13(5): 1390-1400.

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

粗糙表面的加卸载分形接触解析模型

考虑微凸体相互作用的确定性接触模型