An Analytical Solution for Elastic and Elastic-Plastic Contact Models
作者:
Zhiqiang Liu,
Anne Neville,
R.L. Reuben,
期刊:
Tribology Transactions
(Taylor Available online 2000)
卷期:
Volume 43,
issue 4
页码: 627-634
ISSN:1040-2004
年代: 2000
DOI:10.1080/10402000008982387
出版商: Taylor & Francis Group
关键词: Analytical Solution;Asperity Height Distribution;Elastic-Plastic Contact
数据来源: Taylor
摘要:
In tribology often a closed form solution for calculation of contact stress and real contact area is required for the purposes of, for example, developing wear maps and temperature profiles at asperities. In assuming a Gaussian distribution of asperity heights it is not possible to obtain an analytical solution for the contact load and real contact area for many analytical models such as those developed by Greenwood and Williamson (elastic model), Chang, et al. (elastic-plastic model) and Horng (elliptic elastic-plastic model). In this paper, two exponential functions have been derived from a fitting procedure applied to the numerical results of the Gaussian height distribution thus offering an analytical expression for the above three models. It has been demonstrated that the two exponential functions (φ2* and φ4*) can give a fair approximation to the contact load and the real contact area in the separation of 0 to 4σ. In addition, variations in plasticity index (ψ) and effective asperity radius (γ) do not significantly affect the approximated accuracy. The results obtained by the newly derived exponential functions have been compared with the exponential function φ1*; suggested by Greenwood and Williamson, 1966 and it has been shown that use of φ1* invariably gives a larger error than using two exponential functions over two ranges of separation distances.Presented as a Society of Tribologists and Lubrication Engineers Paper at the ASME/STLE Tribology Conference in Seattle, Washington, October 1–4, 2000
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