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arXiv cond-mat/0010396cond-mat.mtrl-sci
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弹性纳米接触的摩擦规律

Friction Laws for Elastic Nano-Scale Contacts

Ludger Wenning, Martin H. Muser

摘要:

通过分子动力学模拟研究了表面曲率对摩擦力F与法向载荷L之间关系的影响,并将其作为表面对称性、粘附性和污染的函数。弯曲的、非粘附的、干燥的、相称的表面显示出线性依赖性,F与L成比例,类似于干燥的平坦相称或无定形表面和宏观表面。相比之下,弯曲的、非粘附的、干燥的、无定形的表面显示F与L^(2/3)成比例,类似于摩擦力显微镜。在我们的模型中,粘合剂的影响是最充分的赫兹加偏移模型描述,因为模拟仅限于小接触半径。弯曲的润滑或污染表面再次表现出不同的行为;细节取决于有多少污染物被挤出接触。此外,可以看出,在润滑的情况下,摩擦力主要是由于在尖端的入口处的原子。

英文摘要:

The effect of surface curvature on the law relating frictional forces F with normal load L is investigated by molecular dynamics simulations as a function of surface symmetry, adhesion, and contamination. Curved, non-adhering, dry, commensurate surfaces show a linear dependency, F proportional to L, similar to dry flat commensurate or amorphous surfaces and macroscopic surfaces. In contrast, curved, non-adhering, dry, amorphous surfaces show F proportional to L^(2/3) similar to friction force microscopes. In our model, adhesive effects are most adequately described by the Hertz plus offset model, as the simulations are confined to small contact radii. Curved lubricated or contaminated surfaces show again different behavior; details depend on how much of the contaminant gets squeezed out of the contact. Also, it is seen that the friction force in the lubricated case is mainly due to atoms at the entrance of the tip.

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