带有圆柱形孔洞弹性半空间的表面效应分析

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.

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

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.