Physics of Sliding and Friction

通过数值实验和解析计算表明，静摩擦系数与加载力不成正比，而是取决于表观接触面积。这些行为表明了Amontons定律的破坏，是块体滑移发生前的前驱体滑移的结果，与实验结果一致。用数值方法研究了颗粒在衬底间的摩擦行为。滑移尺寸分布在一定条件下服从幂律。在实验中也得到了类似的结果。用数值方法研究了小分子厚度润滑油分子的特殊摩擦现象。摩擦与润滑油分子层的结构密切相关。通过实际实验和数值实验，研究了小提琴琴弦摩擦与声音的关系。

Based on numerical experiment and analytic calculation, we showed that the static friction coefficient is not proportional to the loading force and depends on the apparent contact area. These behaviors indicate the breakdown of the Amontons' law, result from precursor slip before the onset of bulk sliding, and is consistent with experiments. Frictional behavior of granular particles confined between substrates were investigated numerically. The slip-size distribution obeys power law under certain condition. Similar results were obtained also in experiments. The peculiar frictional phenomena of lubricant molecules with a few molecular thickness were investigated numerically. The friction has strong relation with the structure of lubricant molecule layers. By real and numerical experiments the relation between the friction of bow and string in violin and the sound was investigated.