針對異向性平板含有不同形狀之孔洞問題，本研究利用多邊形孔洞之基本解配合邊界元素法與組合區域法，來解析平板的應力場以及位移場。以往多孔洞之研究大多為橢圓形孔洞居多，因幾何形狀受到限制使得能探討的問題不夠廣泛，因此本研究將孔洞形狀推廣為任意多邊形包含裂縫、圓洞、橢圓洞、三角形洞等等，並且配合組合區域法，使得介面上結點之位移與應力連續，來探討平板中多孔洞同時存在對彼此的影響。
由於基本解已滿足孔洞的邊界條件，無須在孔洞邊界取元素，而且基本解是以多邊形為基礎，對於不同形狀只須改變形狀參數即可。因此，本研究以多邊形孔洞之基本解為出發點，解析更為廣泛的多孔洞問題。

With respect to the problems of anisotropic plates containing multiple various holes, this research solves the stress and strain fields numerically by embedding the fundamental solutions of polygonal holes into boundary element method(BEM), and using the technique of subregion. In the literature, most of the examples of multi-holes consider elliptical holes due to the geometry restraints, it limits the range of the problems. In this study we like to extend the hole shape to the general polygon-like shapes.
Since the fundamental solutions have satisfied the boundary condition for holes, it’s unnecessary to discretize the hole boundary. Since, the fundamental solutions are for the polygon-like holes, their associated BEM would be able to solve multi-holes much more effectively and generally.

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