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

作　　者：王亚星[1] 李星[1,2] 

机构地区：[1]宁夏大学数学计算机学院,宁夏银川750021 [2]宁夏固原师范学院数学计算机学院,宁夏固原756000

出　　处：《力学季刊》2014年第1期83-91,共9页Chinese Quarterly of Mechanics

基　　金：国家自然科学基金(51061015;11362018);高等学校博士学科点专项科研基金(20116401110002)

摘　　要：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.

关 键 词：Gurtin-Murdoch界面理论 边界积分法 多个纳米圆形夹杂 

分 类 号：O343[理学—固体力学]