平面弹性中双圆柱夹杂问题的格林函数

通过复势法并结合共形映射、解析开拓、奇点分析、Cauchy积分公式、圆环域上的Laurent级数展开等技术的联合运用，给出了含有双圆柱异相夹杂的无限大弹性基体这种三相复合系统在受到面内集中力和刃型位错作用时的级数形式的精确解答。该奇点可以作用于基体上或两夹杂内部，当一刃型位错作用于基体上时，也推导了该位错与双圆柱夹杂的交互作用能以及作用于位错上的广义。所给出的算例验证了该弹性解答的正确性并直观显示出奇点与双圆柱夹杂的相互作用。

GREEN'S FUNCTIONS FOR THE TWO CIRCULAR INCLUSION PROBLEM IN PLANE ELASTOSTATICS

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.