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Normal contact and friction of rubber with model randomly rough surfaces

机译:橡胶与模型随机粗糙表面的正常接触和摩擦

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摘要

We report on normal contact and friction measurements of model multicontactinterfaces formed between smooth surfaces and substrates textured with astatistical distribution of spherical micro-asperities. Contacts are eitherformed between a rigid textured lens and a smooth rubber, or a flat texturedrubber and a smooth rigid lens. Measurements of the real area of contact $A$versus normal load $P$ are performed by imaging the light transmitted at themicrocontacts. For both interfaces, $A(P)$ is found to be sub-linear with apower law behavior. Comparison to two multi-asperity contact models, whichextend Greenwood-Williamson (J. Greenwood, J. Williamson, \textit{Proc. RoyalSoc. London Ser. A} \textbf{295}, 300 (1966)) model by taking into account theelastic interaction between asperities at different length scales, isperformed, and allows their validation for the first time. We find that longrange elastic interactions arising from the curvature of the nominal surfacesare the main source of the non-linearity of $A(P)$. At a shorter range, andexcept for very low pressures, the pressure dependence of both density and areaof micro-contacts remains well described by Greenwood-Williamson's model, whichneglects any interaction between asperities. In addition, in steady sliding,friction measurements reveal that the mean shear stress at the scale of theasperities is systematically larger than that found for a macroscopic contactbetween a smooth lens and a rubber. This suggests that frictional stressesmeasured at macroscopic length scales may not be simply transposed tomicroscopic multicontact interfaces.
机译:我们报告了在光滑表面和具有球形微细孔统计分布的基材之间形成的模型多触点界面的正常接触和摩擦测量结果。接触可以在刚性质感镜片和光滑的橡胶之间,也可以在扁平质感橡胶和光滑刚性的镜片之间形成。通过成像在微触点处透射的光来执行触点实际面积A相对于正常负载P的测量。对于两个接口,发现$ A(P)$与幂律行为是次线性的。比较了两个多粗糙接触模型,这些模型扩展了Greenwood-Williamson(J。Greenwood,J。Williamson,\ textit {Proc.RoyalSoc.London Ser.A} \ textbf {295},300(1966))模型,从而扩展了模型进行了不同长度尺度上的粗糙之间的弹性相互作用,并首次对其进行了验证。我们发现,由标称曲面的曲率引起的远程弹性相互作用是$ A(P)$非线性的主要来源。在较短的范围内,除了非常低的压力外,格林伍德-威廉姆森模型仍然很好地描述了微接触的密度和面积对压力的依赖性,该模型忽略了粗糙之间的任何相互作用。另外,在稳定的滑动中,摩擦测量结果表明,在粗糙度范围内的平均剪切应力系统地大于在光滑镜片和橡胶之间的宏观接触所发现的平均剪切应力。这表明在宏观长度尺度上测量的摩擦应力可能不会简单地转移到微观多触点界面上。

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