本文探討二維無限域異向性線彈性體，內含雙線剛性異質物之互制行為，應用無限域內含一中央線剛性異質物，受一集中力作用之基本解，將此問題轉換為一組以分佈力為未知函數之奇異積分方程組，而此未知的分佈力函數則分佈於另一個線剛性異質物上。利用數值方法求解此積分方程，進而求得剛性異質物尖端之應力強度因子。數值分析中，首先驗證當二維異向性材料之雙剛性異質物在相距較遠時，其結果與文獻中含單一剛性異質物之解析解相當吻合。其次，本文將針對材料異向性程度、兩剛性異質物尺寸、兩剛性異質物之距離以及剛性異質物之傾斜角度對應力強度因子之影響進行探討。

The interactions of two rigid lines in an anisotropic plane elastic medium of infinite extent under uniform loading at infinity are studied. Based on Green’s function for a point source acting in an anisotropic plane elastic medium of infinite extent with one rigid line existed, a system of singular integral equations for the unknown distributed forces densities defined on the rigid line is obtained. Numerical method is used to calculate the solutions of the singular integral equations and the stress intensity factors at rigid line tips are obtained. Accuracy of the numerical method is validated by analytical results for the problem of an anisotropic plane elastic medium of infinite extent with one rigid line under uniform loading at infinity. The effects of degree of anisotropy of the material and the parameters of relative geometry such as lengths, distances and orientations between two rigid lines on the stress intensity factors are reported.

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