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arXiv 0810.3486cond-mat.softphysics.class-ph
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滑动摩擦接触应力场的实验与计算

Stress Field at a Sliding Frictional Contact: Experiments and Calculations

Julien Scheibert, Alexis Prevost, Georges Debrégeas, Eytan Katzav, Mohktar Adda-Bedia

摘要:

利用MEMS传感器测量了弹性体薄膜与光滑玻璃圆柱体接触时基底的法向和切向应力场。这种几何形状允许沿滑动方向测量的应力分布与原始\textit{exact}二维摩擦模型的预测之间的直接比较。后者假定了Amontons摩擦定律,这意味着在稳定滑动中,界面切向应力等于法向应力乘以与压力无关的动摩擦系数$μ_d$,但没有进一步假设法向应力场。在探索的载荷范围内,测量和计算的轮廓之间的差异小于14%。比较与测试模型,基于传统的假设,即正常的应力场是不变的切向加载,表明精确的模型更好地再现实验剖面在高负荷。然而,两种计算方法都没有考虑到仍然存在的重大偏差。在这方面,在计算中所作的其他两个假设,即(i)界面的光滑度和(ii)$μ_d$的压力无关性的相关性进行了简要讨论。

英文摘要:

A MEMS-based sensing device is used to measure the normal and tangential stress fields at the base of a rough elastomer film in contact with a smooth glass cylinder in steady sliding. This geometry allows for a direct comparison between the stress profiles measured along the sliding direction and the predictions of an original \textit{exact} bidimensional model of friction. The latter assumes Amontons' friction law, which implies that in steady sliding the interfacial tangential stress is equal to the normal stress times a pressure-independent dynamic friction coefficient $μ_d$, but makes no further assumption on the normal stress field. Discrepancy between the measured and calculated profiles is less than 14% over the range of loads explored. Comparison with a test model, based on the classical assumption that the normal stress field is unchanged upon tangential loading, shows that the exact model better reproduces the experimental profiles at high loads. However, significant deviations remain that are not accounted for by either calculations. In that regard, the relevance of two other assumptions made in the calculations, namely (i) the smoothness of the interface and (ii) the pressure-independence of $μ_d$ is briefly discussed.

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