本文探討二維無限域異向性壓電材料，內含一電極與一橢圓孔洞受廣義曳引力作用下的互制行為。此問題之之分析可拆成兩個子問題疊加而成而成，子問題一為壓電材料內僅僅含單一橢圓孔洞，且在無窮遠處受廣義曳引力作用。子問題二為壓電材料內含一橢圓孔洞，但在電極位置則受到一未知的連續廣義分佈力作用。疊加子問題一與子問題二，並令電極位置之廣義應變和為零，則可建立對應原問題之柯西奇異型積分方程。此方程採用Gerasoulis (1982)的數值方法求得廣義曳引力，進而推得強度因子。廣義應力強度因子可分為開裂型、滑移型、撕裂型、電位移應力強度因子。文中針對不同的孔洞形狀、孔洞與電極尖端距離、受力方式以及電極傾斜的角度對廣義應力強度因子造成的影響進行討論。

This thesis is to investigate the electro-mechanical behavior of an electrode interacting with a hole in an infinite piezoelectric material. This problem can be analyzed by superposition of two simple problems. First problem is a piezoelectric material containing a hole under uniform traction at infinity. Second problem is a piezoelectric material containing a hole subjected to a distributed forces. By combining this two problems, we can obtain an equation matching the boundary condition of the original problem. We use Green’s function to describe the problem so that we can get a system of singular integral equations for the unknown distributed forces. Next, we use the numerical method to calculate the solutions of the singular integral equations and the generalized stress intensity factors (SIFs) at the electrode tips. This thesis considers the piezoelectric material under three different kinds of force. The influence of the distant between electrode and hole, the shape of elliptic hole, and the inclined angle of electrode on the SIFs are investigated and results are discussed.

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