基于可压缩弹性光滑微观斜面的均匀表面间静摩擦理论
A theory of static friction between homogeneous surfaces based on compressible elastic smooth microscopic inclines
摘要：
我们建立了一个静摩擦理论，把接触的均匀表面模拟成由一系列规则的可压缩弹性光滑微观斜面组成。静摩擦被认为是由于必须将载荷推过这些共享共同倾角的平滑微观斜面而产生的阻力。当表面间的法向力增大时，微观斜面将被弹性压缩。因此，静摩擦的静摩擦系数不会保持恒定，而是对于较大的法向力变得更小，因为负载然后将仅需要在较小的角度上被推动。然而，较大的法向力也会增加表面之间的有效压缩面积，因此压力分布在该较大的有效压缩面积上。因此，法向力和公共角之间的关系是非线性的。总的来说，静摩擦取决于法向力、表观接触面积、杨氏模量和压缩效率比（有效压缩面积/表观接触面积）。实验测量使用tetrahydroxide进行，结果证实了这一理论的预测。
英文摘要：
We develop a theory of static friction by modeling the homogeneous surfaces of contact as being composed of a regular array of compressible elastic smooth microscopic inclines. Static friction is thought of as the resistance due to having to push the load over these smooth microscopic inclines that share a common inclination angle. As the normal force between the surfaces increases, the microscopic inclines would be compressed elastically. Consequently, the coefficient of static friction does not remain constant but becomes smaller for a larger normal force, since the load would then only need to be pushed over smaller angles. However, a larger normal force would also increase the effective compressed area between the surfaces, as such the pressure is distributed over this larger effective compressed area. The relationship between the normal force and the common angle is therefore non-linear. Overall, static friction is shown to depend on the normal force, apparent contact area, Young's modulus, and the compressed efficiency ratio (effective compressed area per apparent contact area). Experimental measurements using teflon were carried out, and the results confirm predictions of this theory.
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