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表面形貌很大程度上决定了摩擦副的摩擦性能, 而所有的表面都不可能是绝对光滑的.由于摩擦表面形貌的随机性, 决定了实际的摩擦过程具有随机性的特点, 因此为了获得与随机形貌对应的摩擦特性, 建立合理的随机摩擦模型是必要的. 本文基于Lennard-Jones势能建立了纳米级随机粗糙表面和原子级光滑的刚性平面间的随机摩擦模型; 模型中, 界面势能由法向载荷和界面间平衡距离决定.通过数值计算的方法, 推导了微观滑动摩擦力的计算公式和摩擦力与法向载荷之间的关系. 研究结果表明摩擦力随着法向载荷的增加而增加, 但不是线性增长. 结果也说明界面间的表面势能可能是微观摩擦力的本质起源.
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关键词:
- 随机粗糙表面 /
- Lennard-Jones势能 /
- 微滑动摩擦力 /
- 微摩擦
As is well known, the surface topography strongly determines the tribological performance and all practical surfaces are rough. Since the actual friction process has apparently random characteristics, in order to obtain the friction suitable to the rough surface, it is necessary to set up a random friction model. In the present paper, the friction between a randomly roughness surface and an atomic-level smooth rigid plane is studied based on the Lennard-Jones potential model. A micro friction model is proposed. In the model, the potential energy between interfaces is determined by the normal load and the balanced spacing. With the numerical technique, the frictional force is calculated and the relationship between the frictional force and the normal load is analyzed as well. The results show that the friction force increases with the normal load increasing, but it increases nonlinearly. The results also show that the interfacial potential may be an essential origin of micro friction.-
Keywords:
- randomly rough surface /
- Lennard-Jones potential /
- micro sliding friction /
- micro tribology
[1] Robbins M O, Krim J 1998 MRS Bull. 23 23
[2] Homola A M, Israelachvili J N, McGuiggan P M 1990 Wear 136 65
[3] Hu Y Z, Wang H, Zou K 2000 Tribol. Trans. 20 313 (in Chinese) [胡元中, 王慧, 邹鲲 2000 摩擦学学报 20 313]
[4] Tomlinson G A 1929 Philosoph. Magazine 7 905
[5] Frenkel Y I, Kontorova T 1939 J. Phys. (Moscow) 1 337
[6] Weiss M, Elmer F J 1996 Phys. Rev. B 53 7539
[7] Weiss M, Elmer F J 1997 Phys. B: Condens. Matter 104 55
[8] Bennewitz R, Gyalog T, Guggisberg M 1999 Phys. Rev. B 60 11301
[9] Persson B N J 2001 J. Chem. Phys. 115 3840
[10] Persson B N J 2007 Phys. Rev. Lett. 99 125502
[11] Yang C, Persson B N J 2008 J Phys.: Condens. Matter 20 215214
[12] Yang C 2008 Ph. D. Dissertation (Germany: Forschungszentrum Jlich)
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[1] Robbins M O, Krim J 1998 MRS Bull. 23 23
[2] Homola A M, Israelachvili J N, McGuiggan P M 1990 Wear 136 65
[3] Hu Y Z, Wang H, Zou K 2000 Tribol. Trans. 20 313 (in Chinese) [胡元中, 王慧, 邹鲲 2000 摩擦学学报 20 313]
[4] Tomlinson G A 1929 Philosoph. Magazine 7 905
[5] Frenkel Y I, Kontorova T 1939 J. Phys. (Moscow) 1 337
[6] Weiss M, Elmer F J 1996 Phys. Rev. B 53 7539
[7] Weiss M, Elmer F J 1997 Phys. B: Condens. Matter 104 55
[8] Bennewitz R, Gyalog T, Guggisberg M 1999 Phys. Rev. B 60 11301
[9] Persson B N J 2001 J. Chem. Phys. 115 3840
[10] Persson B N J 2007 Phys. Rev. Lett. 99 125502
[11] Yang C, Persson B N J 2008 J Phys.: Condens. Matter 20 215214
[12] Yang C 2008 Ph. D. Dissertation (Germany: Forschungszentrum Jlich)
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