半平面内多个纳米圆形夹杂的表/界面效应

Multiple Interacting Circular Nano-Inhomogeneities with Surface/Interface Effects in an Elastic Half-Plane

基于Gurtin-Murdoch表/界面理论,采用边界积分法,讨论了各向同性的弹性半平面中含有任意多个纳米圆形夹杂问题,得到了受表面/界面影响的纳米复合结构的应力和位移的数值解.最后,给出了半平面中含有单个纳米孔洞和纳米夹杂的数值算例,分析了纳米界面存在对整个半平面结构应力场的影响.

Based on the surface/interface theory of Gurtin and Murdoch, employing the boundary integral method, the problem of an isotropic elastic half-plane containing multiple circular nano-inhomogeneities was considered. The numerical solution of any point at the nano-inhomogeneities and half-plane with surface/interface effects was obtained. At last, the numerical examples of a nano-inhomogeneity embedded into the half-plane were given and the effect of existence of nano scale surface to the stress field of the whole half-plane structure was analyzed.