A fractal analysis of adhesive friction between rough solids in gentle sliding
A fractal analysis of adhesive friction between rough solids in gentle sliding
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DOI：
10.1243/1350650001543430
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发表时间：
2000-06
期刊：
影响因子：
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通讯作者：
P. Sahoo;S. Roy Chowdhury
中科院分区：
文献类型：
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作者：
P. Sahoo;S. Roy Chowdhury
粘着摩擦的研究一直依赖于细致的实验，现在已有许多基于观察的合理理论来描述粗糙固体之间界面结合的根本原因。在这方面，基于在短距离内运作的表面部队的分析模型可能并非不合适。摩擦力的分析与粗糙固体间的粘附力的分析密切相关。使用随机粗糙表面模型的这种粘附和摩擦分析已经在别处描述过。即使微观粗糙度会抑制表面接近紧密分离，粘合剂结合也可能发生在纳米尺寸粗糙体的峰值处。因此，它是必要的帐户的影响，粗糙度从纳米到微米级的粗糙度的界面处的相互作用的真实表示，这基本上需要一个尺度独立的模型，如分形方法。本文描述了粗糙固体之间的摩擦使用分形模型和结果进行了比较，与那些使用传统的方法。这些结果解释了一些早期的实验观察。它也似乎在分形维数D的变化可能会产生一个广谱的结果，可以解释一些实验观察到的现象，迄今没有解释。
Abstract Studies of adhesive friction have always relied on careful experiments, and many plausible theories based on the observations now exist to describe the fundamental causes of interfacial bonding between rough solids. In this regard, an analytical model based on surface forces that operate within short ranges is probably not out of place. The analysis of friction is closely associated with that of adhesion between rough solids. Such analyses of adhesion and friction using a random rough surface model have already been described elsewhere. Adhesive bonds may occur at the peaks of nanometric size asperities even though the microscopic roughness would inhibit the surfaces from approaching close separation. It is therefore necessary to account for the effect of asperities ranging from nanometre to micrometre level for a true representation of asperity interactions at the interface and this essentially requires a scale-independent model such as a fractal approach. The paper describes friction between rough solids using a fractal model and the results are compared with those using a conventional approach. The results explain some of the earlier experimental observations. It also seems that the variation in the fractal dimension D may produce a broad spectrum of results which may explain phenomenologically some of the experimental observations, hitherto not explained.