本研究以有限元素法計算含水平裂縫之鋁合金平板、以圓形複合材料補片修補後裂縫尖端的應力強度因子，並以田口法找出體積最小的補片。本文以有限元素套裝軟體ANSYS來建立模型及計算修補後之鋁合金平板裂縫尖端的應力強度因子，並由裂縫尖端應力強度因子的大小來判斷複材補片的修補成效。在考量不同長度的裂縫及補片纖維角度、半徑、厚度，找出修補後的裂縫尖端應力強度因子低於門檻值且最小體積的補片。以圓形複合材料補片修補具有一水平裂縫的鋁合金平板時，可利用本研究之結果，以裂縫長度與補片半徑比值圖及裂縫長度與補片厚度比值圖，找出適當的圓形複材補片尺寸，使修補後的鋁板裂縫尖端應力強度因子低於門檻值，且達到節省補片材料的目的。

In this thesis, use of circular composite patch to repair a cracked aluminum sheet is investigated. The finite element method is used to compute the stress intensity factor at the crack tip of a repaired aluminum sheet by using the software ANSYS. Circular composite patches with various fiber orientation angle, radius and thickness are used to repair an aluminum sheet with a crack of different lengths. The aim of this research is to find the minimum volume of a circular composite patch, with which the stress intensity factor of the repaired sheet is lower than the fracture toughness of the material. For repairing a centrally cracked aluminum sheet, the results of this research can be used to determine the minimum size of a circular composite patch.

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