In this paper, a method for evaluating the contact stiffness ratio of the elastic rough interface is proposed. The rough contact interface subjected to normal load is replaced by an equivalent thin layer with isotropic material. The interfacial stiffness ratio is characterized using the material parameters of the thin layer. The shear modulus and Young’s modulus of the thin layer are determined by introducing the stuck length coefficient combined with the micro-contact analysis of the deformed asperity. The derived stiffness ratio is related to the surface topography, interfacial separation, material properties of the contacting bodies, and the stuck length coefficient. The implicit solution of the stuck length coefficient is also obtained. Variations of the stiffness ratio with the interfacial separation and the normal force are analyzed for different surface topographies and stuck length coefficients. Comparisons between the interfacial stiffness ratio of the proposed method and the experimental results as well as the calculated values of existing models are performed.

中文翻译：

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基于等效薄层和微滑移模型的摩擦学界面接触刚度比

本文提出了一种评估弹性粗糙界面接触刚度比的方法。承受法向载荷的粗糙接触界面被具有各向同性材料的等效薄层代替。使用薄层的材料参数表征界面刚度比。薄层的剪切模量和杨氏模量是通过引入卡滞长度系数结合变形粗糙的微接触分析来确定的。推导出的刚度比与表面形貌、界面分离、接触体的材料特性和粘连长度系数有关。还得到了卡住长度系数的隐式解。分析了不同表面形貌和粘连长度系数的刚度比随界面分离和法向力的变化。对所提出方法的界面刚度比与实验结果以及现有模型的计算值进行了比较。