%0 Journal Article
%T GREEN''''S FUNCTIONS FOR THE TWO CIRCULAR INCLUSION PROBLEM IN PLANE ELASTOSTATICS<br>平面弹性中双圆柱夹杂问题的格林函数
%A Wang Xu
%A Shen Yapeng
%A <br>王旭
%A 沈亚鹏
%J 力学学报
%D 2001
%I 
%X An exact solution in series form to the two-dimensional problem of two circular elastic inclusions embedded in an infinite matrix subjected to in-plane concentrated forces and edge dislocations is given through complex potential approach in association with the techniques of conformal mapping, analytical continuation, singularity analysis, Cauchy ubtegral formulaem, Laurent series expansion in an annulus region, etc. The singularities can be located in the matrix or within the two circular inclusions. When an edge dislacation is embedded in the matrix, explicit expressions for the interaction energy between the dislocation and the two circular inclusions as well as the force acting on the dislocation are also derived. The numerical example validates the correctness of the elastic solution and illustrates the interaction of the point singularity with the two circular inclusions.
%K two circular inclusions
%K point singularity
%K conformal mapping
%K analytical continuation
%K holomorphic function<br>双圆柱夹杂
%K 奇点
%K 共形映射
%K 解析开拓
%K 全纯函数
%K 平面弹性
%K 格林函数
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=5D344E2AD54D14F8&jid=4100DA4A1A3BA1B0CE5AD99AE1DFB420&aid=F1D3E6A257E3E2F8&yid=14E7EF987E4155E6&vid=27746BCEEE58E9DC&iid=94C357A881DFC066&sid=46C2A519EDDA03DD&eid=BBA8B1249CDAA6CE&journal_id=0459-1879&journal_name=力学学报&referenced_num=4&reference_num=11