本文探討二維無限域壓電彈性體，內含孔洞與裂紋之互制行為，問題之分析可視為無限域內含孔洞受無窮遠處外力作用與無限域內含孔洞受廣義差排函數影響的疊加，由此可將此問題轉化為一連續廣義差排密度作用於裂紋面上並建立奇異積分方程式，進而求得裂紋尖端之廣義應力強度因子。文中針對各種孔洞的形狀、裂紋與孔洞之間的距離以及裂紋與水平軸傾斜的角度，對廣義應力強度因子之影響進行分析。

This thesis investigates the interaction of a hole with a crack in an infinite piezoelectric material. This problem can be analyzed by superposition of piezoelectric medium containing a hole subjected to an infinite traction combined with a piezoelectric medium containing a hole subjected to distributed dislocations. Hence, a system of singular integral equations is derived. The numerical method is used to solve the equations and the important parameters of the stress intensity factors (SIFs) at crack tips are calculated. The influence of the shape of the hole, the distance between the hole and the crack and the inclination of the crack on the SIFs are investigated and results are discussed .

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