Please wait a minute...
Chin. Phys. B, 2011, Vol. 20(4): 043401    DOI: 10.1088/1674-1056/20/4/043401
ATOMIC AND MOLECULAR PHYSICS Prev   Next  

Adhesive contact: from atomistic model to continuum model

Fan Kang-Qi(樊康旗),Jia Jian-Yuan(贾建援), Zhu Ying-Min(朱应敏), and Zhang Xiu-Yan(张秀艳)
School of Electronical & Mechanical Engineering, Xidian University, Xi'an 710071, China
Abstract  Two types of Lennard-Jones potential are widely used in modeling adhesive contacts. However, the relationships between the parameters of the two types of Lennard–Jones potential are not well defined. This paper employs a self-consistent method to derive the Lennard–Jones surface force law from the interatomic Lennard–Jones potential with emphasis on the relationships between the parameters. The effect of using correct parameters in the adhesion models is demonstrated in single sphere-flat contact via continuum models and an atomistic model. Furthermore, the adhesion hysteresis behaviour is investigated, and the S-shaped force-distance relation is revealed by the atomistic model. It shows that the adhesion hysteresis loop is generated by the jump-to-contact and jump-off-contact, which are illustrated by the S-shaped force-distance curve.
Keywords:  Lennard–Jones potential      adhesive contact      atomistic model      adhesion hysteresis  
Received:  17 August 2010      Revised:  11 September 2010      Accepted manuscript online: 
PACS:  34.20.Cf (Interatomic potentials and forces)  
  31.15.xv (Molecular dynamics and other numerical methods)  
  07.79.Lh (Atomic force microscopes)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10476019) and the Fundamental Research Funds for the Central Universities of China (Grant No. JY10000904018).

Cite this article: 

Fan Kang-Qi(樊康旗),Jia Jian-Yuan(贾建援), Zhu Ying-Min(朱应敏), and Zhang Xiu-Yan(张秀艳) Adhesive contact: from atomistic model to continuum model 2011 Chin. Phys. B 20 043401

[1] Wei Z and Zhao Y P 2004 Chin. Phys. 13 1320
[2] Luan B and Robbins M O 2005 Nature 435 929
[3] Fan K Q, Jia J Y, Zhu Y M and Liu X Y 2007 Acta Phys. Sin. 56 6345 (in Chinese)
[4] Yao H M, Ciavarella M and Gao H J 2007 J. Colloid Interface Sci. 315 786
[5] Greenwood J A 2009 Philos. Mag. 89 945
[6] Shi X H and Zhao Y P 2004 J. Adhesion Sci. Technol. 18 55
[7] Bradley R S 1932 Philos. Mag. 13 853
[8] Tian W C, Wang L B and Jia J Y 2010 Acta Phys. Sin. 59 1175 (in Chinese)
[9] Johnson K L, Kendall K and Roberts A D 1971 Proc. R. Soc. Lond. A 324 301
[10] Derjaguin B V, Muller V M and Toporov Y P 1975 J. Colloid Interface Sci. 53 314
[11] Tabor D 1977 J. Colloid Interface Sci. 58 1
[12] Maugis D 1992 J. Colloid Interface Sci. 150 243
[13] Jacquot C and Takadoum J 2001 J. Adhesion Sci. Technol. 15 681
[14] Segeren L, Siebum B, Karssenberg F, Berg J and Vancso G 2002 J. Adhesion Sci. Technol. 16 793
[15] Martinez N F and Garcia R 2006 Nanotechnology 17 S167
[16] Sridhar I, Johnson K L and Fleck N A 1997 J. Phys. D: Appl. Phys. 30 1710
[17] Cappella B and Dietler G 1999 Surf. Sci. Rept. 34 1
[18] Anczykowski B, Gotsmann B, Fuchs H, Cleveland J P and Elings V B 1999 Appl. Surf. Sci. 140 376
[19] Gotsmann B, Seidel C, Anczykowski B and Fuchs H 1999 Phys. Rev. B 60 11051
[20] Sahin O, Magonov S, Su C M, Quate C F and Solgaard O 2007 Nat. Nanotechnology 2 507
[21] Attard P and Parker J L 1992 Phys. Rev. A 46 7959
[22] Greenwood J A 1997 Proc. R. Soc. Lond. A 453 1277
[23] Feng J Q 2000 Colloids Surf. A 172 175
[24] Argento C and French R H 1996 J. Appl. Phys. 80 6081
[25] Muller V M, Yushchenko V S and Derjaguin B V 1980 J. Colloid Interface Sci. 77 91
[26] Hamaker H C 1937 Physica 4 1058
[27] Agrawal P M, Rice B M and Thompson D L 2002 Surf. Sci. 515 21
[28] Yu N and Polycarpou A A 2004 J. Colloid Interface Sci. 278 428
[29] Hitchcock M R and Hall C K 1999 J. Chem. Phys. 110 11433
[30] Wei Z, He M F and Zhao Y P 2010 J. Adhesion Sci. Technol. 24 1045
[31] Chaudhury M K and Whitesides G M 1991 Langmuir 7 1013
[32] Chen Y L, Helm C A and Israelachvili J N 1991 J. Phys. Chem. 95 10736
[33] Amouroux N and Léger L 2003 Langmuir 19 1396
[34] Yoshizawa H, Chen Y L and Israelachvili J N 1993 J. Phys. Chem. 97 4128
[35] Landman U, Luedtke W D, Burnham N A and Colton R J 1990 Science 248 454
[36] Tamayo J and Garcia R 1998 Appl. Phys. Lett. 73 2926 endfootnotesize
[1] A diffusion model for solute atoms diffusing and aggregating in nuclear structural materials
Quan Song(宋泉), Fan-Xin Meng(孟繁新), Bo-Yuan Ning(宁博元), Jun Zhuang(庄军), Xi-Jing Ning(宁西京). Chin. Phys. B, 2017, 26(12): 126601.
[2] Adhesion elastic contact and hysteresis effect
Wei Zheng (魏征), Zhao Ya-Pu (赵亚溥). Chin. Phys. B, 2004, 13(8): 1320-1325.
No Suggested Reading articles found!