摘要
題 目：結合有限元素法及邊界元素法分析多孔洞之問題
研 究 生：李仲喬
指導教授：胡潛濱
本文使用邊界元素法來分析孔洞問題，其中所使用的格林函數已經符合了孔洞邊緣的邊界值，使得在針對單一孔洞的問題時不需要作內部邊界的切割，只需要做外部邊界切割即可。在以往的研究中組合區域法已被使用來結合多個邊界元素法的次區域分析多孔洞問題，但由於結合曳引力的處理較為複雜，本文提出了另一種結合次區域的方法，即是將曳引力轉為節點力，並將含一個孔洞的邊界元素法次區域視為一個有限元素法的元素，來分析多孔洞的問題並與ANSYS做比較。
由於單一孔洞的邊界元素解法已經在以往的研究有詳盡的說明，本研究將直接引用其結果，並重在引進有限元素法並解決次區域結合之討論。

ABSTRACT
Subject: Solving the Problem of Muti-holes by Coupling
of Finite Element and Boundary Element Solutions.
Student : Li, Chung-Chaio
Advisor: Chyanbin Hwu

Due to the fact that Green's function has satisfied the boundary conditions along the hole in the present study, when solving single hole problems we just need to mesh the boundary excluding the one along the hole in the interior. The combined subregion method has been used to solve multi-holes problems in the boundary method. However tractions continuity in such method is not easy to estabish when combining lots of subregions. So this article tries another special method to combine such subregions, that is, by transforming the tractions, which are provided by employing boundary element method in a subregion with a single hole, into nodal forces and regarding this subregion as an element of the finite elements method. Solving finite element method in order to combine subregions, and comparing the result with ANSYS.
Single-hole problems were obtained before in the literatures, this research used the solution directly, and focused on the way to use finite element method to solve this kind of problem.

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