RESEARCH ON YIELD STRENGTH PROBLEM OF HERTZ CONTACT STRESS

YANG XianQi; LIU ShengRong; CAO JianHua

doi:10.16579/j.issn.1001.9669.2016.03.028

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RESEARCH ON YIELD STRENGTH PROBLEM OF HERTZ CONTACT STRESS

更新时间：2022-09-22

- RESEARCH ON YIELD STRENGTH PROBLEM OF HERTZ CONTACT STRESS
- Journal of Mechanical Strength Vol. 38, Issue 3, Pages: 580-584(2016)
- 作者机构：
  
  1. 黄山学院机电工程学院
- 作者简介：
- 基金信息：
- DOI：10.16579/j.issn.1001.9669.2016.03.028
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YANG XianQi, LIU ShengRong, CAO JianHua. RESEARCH ON YIELD STRENGTH PROBLEM OF HERTZ CONTACT STRESS. [J]. 38(3):580-584(2016)
DOI：

YANG XianQi, LIU ShengRong, CAO JianHua. RESEARCH ON YIELD STRENGTH PROBLEM OF HERTZ CONTACT STRESS. [J]. 38(3):580-584(2016) DOI： 10.16579/j.issn.1001.9669.2016.03.028.

摘要

Hertz接触应力理论是经典的理论,它涉及的计算过程比较繁杂。针对一般的接触问题,通过理论分析和数值拟合,给出了接触曲率函数与接触椭圆率的关系,利用接触曲率函数直接计算出接触椭圆率,不再需要查表和插值计算这种麻烦和不准确的过程,使得接触计算变得相对简化。同时,根据弹性力学分析的结果,建立了接触区表面下关键点的应力状态估计方法和材料屈服强度校核方法。为工程实际应用带来很大的便利。

Abstract

Hertz contact stress theory is the classic theory,it involves more complicated calculation process. In this paper,through theoretical analysis and numerical fitting,a relationship of the contact curvature function and contact elliptical rate was found,that is ln（ 1 / e） = 0. 224[ln[1 / F（ ρ） ],1. 407,. Then,a elliptical rate is calculated directly by contacting curvature function,no longer need to process the look-up table and interpolation calculation that would be a kind of trouble and not accurate. At the same time,the stress states at a key point of contact body are found by elastic analysis results,and a method of the yield strength checking is estimated. It could bring convenience in engineering application.

关键词

接触应力屈服强度曲率函数椭圆率

Keywords

Contact stressYield strengthCurvature functionEllipticity

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