Abstract The adhesive contact between a rigid sphere and a thin elastic layer bonded on a rigid foundation is investigated using boundary element method (BEM). Surface profile is approximated parabolic. The Lennard-Jones potential and the Derjaguin approximation are used for the surface traction. In the past, the adhesive contact between a sphere and a thin layer was analyzed only in the frame of the JKR theory. In this article, the adhesive contact is investigated with different Tabor parameters and different layer thickness. The whole solutions are obtained. The results are compared with the current analytical models and the simulation for the adhesive contact between spheres. The restrictions of the analytical models are obtained. The empirical formulas for jump-in and pull-off distance are proposed.

中文翻译：

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刚性球体和粘合在刚性基础上的薄弹性层之间的粘合接触

摘要 使用边界元法（BEM）研究刚性球体与刚性基础上的弹性薄层之间的粘附接触。表面轮廓近似为抛物线。Lennard-Jones 势和 Derjaguin 近似用于表面牵引。过去，球体与薄层之间的粘附接触仅在 JKR 理论的框架内进行分析。在本文中，研究了不同 Tabor 参数和不同层厚度的粘合剂接触。得到全解。将结果与当前的分析模型和球体之间粘附接触的模拟进行比较。获得了分析模型的限制。提出了跳入和拉出距离的经验公式。