中国物理B ›› 2011, Vol. 20 ›› Issue (4): 43401-043401.doi: 10.1088/1674-1056/20/4/043401

• ATOMIC AND MOLECULAR PHYSICS • 上一篇    下一篇

Adhesive contact: from atomistic model to continuum model

樊康旗, 贾建援, 朱应敏, 张秀艳   

  1. School of Electronical & Mechanical Engineering, Xidian University, Xi'an 710071, China
  • 收稿日期:2010-08-17 修回日期:2010-09-11 出版日期:2011-04-15 发布日期:2011-04-15
  • 基金资助:
    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).

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)   

  1. School of Electronical & Mechanical Engineering, Xidian University, Xi'an 710071, China
  • Received:2010-08-17 Revised:2010-09-11 Online:2011-04-15 Published:2011-04-15
  • Supported by:
    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).

摘要: 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.

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.

Key words: Lennard–Jones potential, adhesive contact, atomistic model, adhesion hysteresis

中图分类号:  (Interatomic potentials and forces)

  • 34.20.Cf
31.15.xv (Molecular dynamics and other numerical methods) 07.79.Lh (Atomic force microscopes)