A Multi-Scale Model for Contact Between Rough Surfaces

A Multi-Scale Model for Contact Between Rough Surfaces
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DOI:
10.1115/wtc2005-63565
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发表时间:
2006-12
影响因子:
5.8
通讯作者:
R. Jackson;J. Streator
R. Jackson;J. Streator
中科院分区:
医学2区
文献类型:
--
作者:
R. Jackson;J. Streator

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这项工作描述了粗糙表面之间法向接触的非统计多尺度模型。该模型预测了接触面积作为接触载荷的函数,并与传统的Greenwood and Williamson (GW)和Majumdar and Bhushan (MB)粗糙表面接触模型进行了比较,后者分别代表单尺度和分形分析。目前的模型将多尺度粗糙变形的影响纳入一个简单的框架中,用于模拟名义上平坦的粗糙表面之间的接触。与Archard提出的“凸上凸”理论类似,该模型考虑了将较小的凸放在较大的凸上以重复的方式增加细节的影响,直至当前测量技术的极限。描述表面形貌的参数(面粗糙度密度和粗糙度半径)是通过对表面轮廓进行FFT计算得到的。因此,该模型考虑了分形方法已经解决的多尺度效应,同时试图更准确地将变形力学纳入解决方案。在计算真实曲面的FFT后,该方法所需的计算资源非常少。也许令人惊讶的是,这种非统计多尺度模型产生的趋势与GW和MB模型产生的趋势非常相似。ASME版权所有©2005
This work describes a non-statistical multi-scale model of the normal contact between rough surfaces. The model produces predictions for contact area as a function of contact load, and is compared to the traditional Greenwood and Williamson (GW) and Majumdar and Bhushan (MB) rough surface contact models, which represent single-scale and fractal analyses, respectively. The current model incorporates the effect of asperity deformations at multiple scales into a simple framework for modeling the contact between nominally flat rough surfaces. Similar to the “protuberance upon protuberance” theory proposed by Archard, the model considers the effect of having smaller asperities located on top of larger asperities in repeated fashion with increasing detail down to the limits of current measurement techniques. The parameters describing the surface topography (areal asperity density and asperity radius) are calculated from an FFT performed of the surface profile. Thus, the model considers multi-scale effects, which fractal methods have addressed, while attempting to more accurately incorporate the deformation mechanics into the solution. After the FFT of a real surface is calculated, the computational resources needed for the method are very small. Perhaps surprisingly, the trends produced by this non-statistical multi-scale model are quite similar to those arising from the GW and MB models.Copyright © 2005 by ASME