关于粗糙表面宏观粘附的Pastewka & Robbins准则
On Pastewka & Robbins' criterion for macroscopic adhesion of rough surfaces
摘要:
Pastewka & Robbins(PNAS,111(9),3298-3303,2014)最近提出了一个区分两个表面何时粘在一起的标准,并提出它与粗糙理论存在很大的冲突。结果表明,当带宽α较小时,它们的准则与Fuller和Tabor粗糙模型的准则非常接近,但在其它情况下,粗糙度的均方根幅值减小了一个因子Sqrt(α)。因此,这意味着任何粗糙表面的粘性与去除了粗糙度的几乎所有波长分量(除了非常精细的波长分量)的表面的粘性相同,这可能是违反直觉的。因此,如果得到证实,结果非常有趣。可能的来源的近似值,并发现一个显着的错误,在绘制的拉脱数据,这可能会提高与富勒和塔博尔的配合。然而,在他们自己的标准和基于粗糙度的标准似乎都表明无粘性的情况下,他们仍然显示出有限的拉脱值,并且在这些方面的结果是不确定的。
英文摘要:
Pastewka & Robbins (PNAS, 111(9), 3298-3303, 2014) recently have proposed a criterion to distinguish when two surfaces will stick together or not, and suggested it shows a large conflict with asperity theories. It is found that their criterion corresponds very closely to the Fuller and Tabor asperity model one when bandwidth α is small, but otherwise involves a rms ampliture of roughness reduced by a factor Sqrt(α). Therefore, it implies the stickiness of any rough surface is the same as that of the surface where practically all wavelength components of roughness are removed except the very fine ones, which is perhaps counterintuitive. The results are therefore very interesting, if confirmed. Possible sources of approximations are indicated, and a significant error is found in plotting the pull-off data which may improve the fit with Fuller and Tabor. However, still they show finite pull-off values in cases where both their own criterion and an asperity based one seem to suggest non stickiness, and the results are in these respects inconclusive.
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