Adhesion Between Sphere and Plane

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Adhesion Between Sphere and Plane

更新时间：2025-07-09

- Adhesion Between Sphere and Plane
- Vol. 45, Issue 11, Pages: 106-111(2011)
- 作者机构：
  
  西安电子科技大学机电工程学院,西安,710071
- 作者简介：
- 基金信息：
- DOI：
  CLC： O48;TN16
- Online First：10 November 2011，
  
  Published：2011
- 稿件说明：
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Adhesion Between Sphere and Plane[J]. 2011, 45(11): 106-111.
DOI：

Adhesion Between Sphere and Plane[J]. 2011, 45(11): 106-111. DOI：

摘要

为确定Bradley黏附模型与Hamaker假设黏附模型之间的关系和差异

运用Hamaker假设和原子间的Lennard-Jones势能推导出了两平面间的相互作用力

通过与平面间的Lennard-Jones势能进行对比分析

得到了原子势参数与平面势参数间的关系式.根据此关系式将Bradley模型转化为由Hamaker常数描述的黏附模型

并根据Hamaker常数的定义式将Bradley模型最终转化为由原子势参数和Hamaker常数描述的黏附模型.理论分析与仿真结果表明

基于Hamaker假设的黏附模型与Bradley黏附模型完全一致

证实了原子势参数与平面势参数间关系式的正确性

为采用连续介质力学方法研究微观离散世界的黏附问题提供了理论基础.

Abstract

To determine the relationship between the Bradley model and the Hamaker hypotheses-based adhesion model

the Hamaker hypotheses and interatomic Lennard-Jones potential are employed to obtain the interaction force between two planes. The comparison of the interaction force obtained with the interfacial Lennard-Jones potential is conducted to determine the definite relationships between the parameters of the interatomic potential and that of the interfacial potential

by which the Bradley model is expressed in terms of Hamaker constant. The definition of Hamaker constant

the Bradley model is further described by interatomic potential parameters and Hamaker constant. Theoretical analysis and numerical simulation indicate that the Bradley model is identical to the Hamaker hypotheses-based adhesion model. The relationships between the parameters of the interatomic potential and that of the interfacial potential are confirmed.

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references

HARIRI A, ZU J W, MRAD R B. Modeling of dry stiction in micro electro-mechanical systems [J]. Journal of Micromechanics and Microengineering, 2006, 16(7): 1195-1206.

樊康旗, 贾建援, 朱应敏,等. 原子力显微镜在轻敲模式下的动力学模型 [J]. 物理学报, 2007, 56(11): 6345-6351.

FAN Kangqi, JIA Jianyuan, ZHU Yingmin, et al. Dynamic model of atomic force microscopy in tapping-mode [J]. Acta Physica Sinica, 2007, 56(11): 6345-6351.

BRADLEY R S. The cohesive force between solid surfaces and the surface energy of solids [J]. Philosophical Magazine, 1932, 13(86): 853-862.

GREENWOOD J A. Adhesion of elastic spheres [J]. Proceedings of the Royal Society of London: A, 1997, 453(9): 1277-1297.

HAMAKER H C. The London-van der Waals attraction between spherical particles [J]. Physica, 1937, 4(10): 1058-1072.

樊康旗, 贾建援, 朱应敏,等. 基于Hamaker假设的黏着接触弹性模型 [J]. 西安交通大学学报, 2007, 41(5): 606-610.

FAN Kangqi, JIA Jianyuan, ZHU Yingmin, et al. Elastic model of adhesive contact based on Hamaker hypotheses [J]. Journal of Xi'an Jiaotong University, 2007, 41(5): 606-610.

田文超, 贾建援. Hamaker均质材料假设修正 [J]. 物理学报, 2003, 52(5): 1061-1065.

TIAN Wenchao, JIA Jianyuan. Amelioration of the Hamaker homogeneous material hypothesis [J]. Acta Physica Sinica, 2003, 52(5): 1061-1065.

LUAN B, ROBBINS M O. Contact of single asperity with varying adhesion: comparing continuum mechanics to atomistic simulations [J]. Physical Review: E, 2006, 74(2): 026111.1-026111.17

LUAN B Q, ROBBINS M O. The breakdown of continuum models for mechanical contacts [J]. Nature, 2005, 435(24): 929-932.

FENG J Q. Adhesive contact of elastically deformable spheres: a computational study of pull-off force and contact radius [J]. Journal of Colloid and Interface Science, 2001, 238(2): 318-328.

田文超, 贾建援. AFM针尖-试样面作用力连续介质方法研究 [J]. 中国机械工程, 2003,14(22): 1903-1905.

TIAN Wenchao, JIA Jianyuan. Research on force between tip of AFM and sample by continuum medium [J]. China Mechanical Engineering, 2003, 14(22): 1903-1905.

MAUGIS D. Adhesion of spheres: the JKR-DMT transition using a Dugdale model [J]. Journal of Colloid and Interface Science, 1992, 150(1): 243-269.

MULLER V M, YUSHCHENKO V S, DERJAGUIN B V. On the influence of molecular force on the deformation of an elastic sphere and its sticking to a plane [J]. Journal of Colloid and Interface Science, 1980, 77(1): 91-101.

YU N, POLYCARPOU A A. Adhesive contact based on the Lennard-Jones potential: a correction to the value of the equilibrium distance [J]. Journal of Colloid and Interface Science, 2004, 278(2): 428-435.

HITCHCOCK M R, HALL C K. Solid-liquid phase equilibrium for binary Lennard-Jones mixtures [J]. Journal of Chemical Physics, 1999, 110(23): 11433-11444.

JOHNSON K L, KENDALL K, ROBERT A D. Surface energy and the elastic solids [J]. Proceedings of the Royal Society of London: A, 1971, 324(1558): 301-313.

GREENWOOD J A. Adhesion of small spheres [J]. Philosophical Magazine, 2009, 89(11): 945-965.

JOHNSON K L, GREENWOOD J A. An adhesion map for the contact of elastic spheres [J]. Journal of Colloid and Interface Science, 1997, 192(2): 326-333.

ATTARD P, PARKER J L. Deformation and adhesion of elastic bodies in contact [J]. Physical Review: A, 1992, 46(12): 7959-7971.

FAN K Q, JIA J Y, ZHU Y M, et al. Adhesive contact: from atomistic model to continuum model [J]. Chinese Physics: B, 2011, 20(4): 043401.1-043401.9.

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Related Author

樊康旗 1

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Related Institution

School of Electro-Mechanical Engineering, Xidian University

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