Abstract This study examines the empirical relationship between frictional shear stress and pressure in macro- and micro-scale contact and sliding. Two types of friction tests are reported; the macroscale tests deal with kinetic friction between stainless steel surfaces in a vapor phase lubrication condition, and the micro-scale tests measure kinetic friction at interfaces formed between MoS2 basal planes and surfaces of alumina or stainless steel specimens, using a quartz crystal microbalance microtribometer. A numerical model is used to calculate the contact areas in the macro-scale tests. The results from both friction tests confirmed that the interfacial shear stress in the contact area due to kinetic friction is proportional to the average contact pressure, and the constant of proportionality is close to the coefficient of friction (COF). These observations add to the validation of the Amontons’ law.

中文翻译：

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微观和宏观摩擦中界面剪应力与接触压力之间的经验关系

摘要 本研究考察了宏观和微观接触和滑动中摩擦剪应力与压力之间的经验关系。报告了两种类型的摩擦测试；宏观测试处理气相润滑条件下不锈钢表面之间的动摩擦，微观测试使用石英晶体微量天平微摩擦计测量二硫化钼基面与氧化铝或不锈钢样品表面之间形成的界面处的动摩擦。数值模型用于计算宏观测试中的接触面积。两个摩擦试验的结果证实，由于动摩擦引起的接触区域的界面剪切应力与平均接触压力成正比，比例常数接近摩擦系数（COF）。