基于Hamaker假设的黏着接触弹性模型

樊康旗 1; 贾建援 1; 朱应敏 1; 陈光焱 2

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基于Hamaker假设的黏着接触弹性模型

专题研究 | 更新时间：2025-12-08

- 基于Hamaker假设的黏着接触弹性模型
- Elastic Model of Adhesive Contact Based on Hamaker Hypotheses
- 西安交通大学学报 2007年41卷第5期页码：606-610
- 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：
  
  : 2006-09-11. 作者简介: 樊康旗(1979～),男,博士生;贾建援(联系人),男,教授,博士生导师. 基金项目: 国家自然科学基金资助项目(10476019)
- DOI：
  中图分类号： O48;TH724
- 网络首发：2007-05-10，
  
  纸质出版：2007
- 稿件说明：
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樊康旗 1, 贾建援 1, 朱应敏 1, 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.

樊康旗 1, 贾建援 1, 朱应敏 1, et al. Elastic Model of Adhesive Contact Based on Hamaker Hypotheses[J]. 2007, 41(5): 606-610.
樊康旗 1, 贾建援 1, 朱应敏 1, 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. DOI：

樊康旗 1, 贾建援 1, 朱应敏 1, et al. Elastic Model of Adhesive Contact Based on Hamaker Hypotheses[J]. 2007, 41(5): 606-610. DOI：

摘要

为研究微纳米系统中的黏着接触问题

基于Hamaker假设和Lennard-Jones的势能定律

通过积分方法得到了球体与平面间的黏着力

同时结合经典弹性理论建立了一种新型的球体与平面黏着接触的弹性模型.该模型可以同时得到平面轮廓随间距的变形过程及黏着力和平面变形量随间距的变化规律

当球体半径较大时

所建模型与基于Derjaguin近似的黏着模型给出的结果基本一致

随着球体半径的逐渐减小

2种模型的差异逐渐增大

这是由于Derjaguin近似的误差随球体半径的减小而增大引起的.因此

当球体的半径趋近纳米级时

基于Hamaker假设的黏着接触模型消除了Derjaguin近似所带来的误差

可以更加准确地给出黏着力和平面变形量随间距的变化规律.

Abstract

Based on Hamaker hypotheses and Lennard-Jones potential

the adhesive force between a sphere and a plane is revealed with an integral method. Simultaneously

a novel model of adhesive contact between a rigid sphere and an elastic plane is established to investigate the adhesion problems in micro- and nano-systems

which is capable of obtaining the variations with the distance of the adhesive force

the deformation and the contour of the plane. For a large sphere

the results from the proposed model are coincident with that from the model based on the Derjaguin approximation. For a nano-scale sphere

the discrepancies appear between the two models due to the increased the error of the Derjaguin approximation with decreasing spheres. So for a nano-scale sphere

the proposed model enables to lead more accurate solutions.

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Keywords

references

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