带有圆柱形孔洞弹性半空间的表面效应分析

欧志英; 武雅文

doi:10.3879/j.issn.1000-0887.2015.06.005

带有圆柱形孔洞弹性半空间的表面效应分析

doi: 10.3879/j.issn.1000-0887.2015.06.005

兰州理工大学理学院, 兰州 730050

基金项目: 国家自然科学基金(11062004;11362009)；甘肃省留学回国人员科研启动基金

详细信息

作者简介:
欧志英 (1970—),男, 湖南,教授(E-mail: zhiyingou@163.com)

中图分类号: O29
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- 被引次数: 0
出版历程
- 收稿日期: 2014-12-04
- 修回日期: 2015-05-14
- 刊出日期: 2015-06-15

Effects of Surface Stresses on Contact Problems of an Elastic Half Plane With a Circular Cavity

School of Science, Lanzhou University of Technology,Lanzhou 730050, P.R.China

Funds: National Natural Science Foundation(11062004; 11362009); The Returned Overseas Scholars Fund of Gansu Province

摘要

摘要: 针对表面应力在纳米结构控制机械响应中的重要性，利用复变函数的基本方法，研究了含有圆柱形孔洞的弹性半空间的表面应力问题.将含有缺陷的接触问题分解为均匀介质的接触问题和无外载荷的非均匀介质的接触问题两部分进行分析.结果显示：接触表面的应力和位移有很强的尺寸依赖性，同时表面位移可以用表面应力函数表示.
- 表面应力 /
- 纳米孔洞 /
- 半空间 /
- 均布载荷
Abstract: In view of the importance of surface stress in controlling mechanical responses of nanoscale structures, the effects of surface stresses on the elastic field around a circular hole in an elastic half plane were analyzed. The complex variable function method was adopted to derive the fundamental solution to the contact problem. The deformation caused by the uniformly distributed traction on the plane surface and the surface stress along the cavity boundary was analyzed in detail. The results reveal strong sizedependence of the stress field and the surface deformation on the surface stress, and the surface displacement directly above the circular hole was a function of the surface stress.
- surface stress /
- nanosized cavity /
- half plane /
- uniform load

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参考文献(17)

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