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Boundary element analyses on the adhesive contact between an elastic sphere and a rigid half-space

机译：弹性球体与刚性半空间之间的胶粘剂接触的边界元分析

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Boundary element method is used to analyze the adhesive contact between an elastic sphere and a rigid half-space. Lennard-Jones potential is used for the surface traction. In the past, the simulation for the adhesive contact between spheres usually used paraboloid approximation for sphere surface. In this paper, the adhesive contact is investigated using exact sphere. A new algorithm for boundary element method is proposed. The S-shaped load-approach curve and the whole solution can be obtained. The result is compared with the adhesive contact between a rigid paraboloid and an elastic half-space, and that between an elastic paraboloid and a rigid half-space. It is found that the Tabor parameter and the radius of sphere affect the adhesive contact. As the Tabor parameter is larger, the effect of the radius is larger. As the radius is smaller, the pull-off force and the pull-off distance for fixed-grips device are smaller. The adhesive contact for rigid paraboloid/elastic half-space can approximate that for elastic paraboloid/rigid half-space and that for elastic sphere/rigid half-space with small Tabor parameter and large radius. Finally, an approximate equation for the pull-off force vs. Tabor parameter is proposed.
机译：边界元法用于分析弹性球体与刚性半空间之间的胶粘剂接触。 Lennard-Jones势用于表面牵引。过去，球之间的粘着性接触的模拟通常使用抛物面近似来估计球表面。在本文中，使用精确球体研究了胶粘剂接触。提出了一种边界元法的新算法。可以得到S形的载荷曲线和整体解。将结果与刚性抛物面和弹性半空间之间以及弹性抛物面和刚性半空间之间的粘附接触进行比较。发现Tabor参数和球体半径影响粘合剂的接触。 Tabor参数越大，半径的影响越大。半径越小，固定握把的拉力和拉出距离就越小。刚性抛物面/弹性半空间的胶粘剂接触可以近似于弹性抛物面/刚性半空间的胶粘剂接触，以及具有Tabor参数小且半径大的弹性球体/刚性半空间的胶粘剂接触。最后，提出了拉力与Tabor参数的近似方程。

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