The Asperities Density and Height Distribution Combined Effect on Rough Elastic Bodies Contact Characteristics

IF 0.8 Q2 MATHEMATICS
I. G. Goryacheva, A. A. Yakovenko
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引用次数: 0

Abstract

The combined effect of the asperities density and their height distribution in contact of the rough rigid and smooth elastic half-spaces is investigated, taking into account the mutual influence of contact spots and statistical nature of the height distribution of asperities. The normal and exponential types of the height distribution of asperities with various densities and the dispersions of their height distribution are used in calculations of the contact characteristics at macroscale (the approach of contacting bodies and the relative contact area under given normal pressure) and the microscale (real contact pressure distributions). The obtained results are compared with ones calculated from the simplified models neglecting the mutual influence of individual contact spots. It is shown that neglecting the mutual influence of asperities in contact, which is made in many models of the discrete contact, can lead to significant errors in determining the contact characteristics on both the macro- and microscales. Based on the asymptotic analysis the analytical expressions for the approach of the contacting bodies and the relative contact area were derived and used for analysis of the microgeometry parameters effects on the rigid rough half-space penetration into the elastic half-space at high nominal pressures.

Abstract Image

尖晶石密度和高度分布对粗糙弹性体接触特性的综合影响
摘要 研究了粗糙刚性半空间和光滑弹性半空间接触中的非主流密度及其高度分布的综合影响,同时考虑了接触点的相互影响和非主流高度分布的统计性质。在计算宏观(给定法向压力下接触体的接近和相对接触面积)和微观(实际接触压力分布)的接触特性时,使用了不同密度的尖面高度分布的正态和指数类型及其高度分布的分散性。计算结果与忽略单个接触点相互影响的简化模型计算结果进行了比较。结果表明,许多离散接触模型都忽略了接触面的相互影响,这会导致在确定宏观和微观尺度的接触特性时出现重大误差。在渐近分析的基础上,推导出了接触体接近和相对接触面积的分析表达式,并用于分析微观几何参数对高名义压力下刚性粗糙半空间穿透弹性半空间的影响。
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来源期刊
CiteScore
1.50
自引率
42.90%
发文量
127
期刊介绍: Lobachevskii Journal of Mathematics is an international peer reviewed journal published in collaboration with the Russian Academy of Sciences and Kazan Federal University. The journal covers mathematical topics associated with the name of famous Russian mathematician Nikolai Lobachevsky (Lobachevskii). The journal publishes research articles on geometry and topology, algebra, complex analysis, functional analysis, differential equations and mathematical physics, probability theory and stochastic processes, computational mathematics, mathematical modeling, numerical methods and program complexes, computer science, optimal control, and theory of algorithms as well as applied mathematics. The journal welcomes manuscripts from all countries in the English language.
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