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研究生： 吳信緯
Wu, Shin-wei
論文名稱： 以複材補片修補含裂縫鋁板之分析
Analysis of Composite Patch Repair to a Cracked Aluminum Sheet
指導教授： 崔兆棠
Choi, Siu-tong
學位類別： 碩士
Master
系所名稱： 工學院 - 航空太空工程學系
Department of Aeronautics & Astronautics
論文出版年： 2007
畢業學年度： 95
語文別： 中文
論文頁數： 57
中文關鍵詞： 有限元素法 、複合材料補片 、應力強度因子
外文關鍵詞： finite element method, composite patch, stress intensity factor
相關次數： 點閱：97  下載：2 
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    • 本論文主要之目的為以有限元素方法計算應力強度因子，利用複合材料補片修補中央具有一裂縫的鋁合金平板，以降低鋁合金平板受力時裂縫尖端的應力強度因子，從而提升具有裂縫之鋁合金平板的強度。在本文中利用有限元素套裝軟體ANSYS進行模型的建構及後處理分析，經由分析結果可以得到經修補後之鋁合金平板於裂縫尖端的應力強度因子，並由應力強度因子的高低可以判斷複合材料補片修補的成效。在分析過程當中我們考慮不同裂縫長度及補片寬度、高度及厚度，找出裂縫尖端的應力強度因子滿足材料的破壞韌性時的最小補片體積。

    In this thesis, finite element analyses are performed for bonded composite patch repair of centre cracked aluminum sheet to reduced stress intensity factor. The finite element package ANSYS is used to compute the stress intensity factor at the crack tip for the aluminum sheet. Effectiveness of composite patch repair is measured by achievable reduction of the stress intensity factor at the crack tip. Various widths, heights, and thicknesses of composite patch are used to repair an aluminum sheet with a crack of different lengths. Find out the smallest patch size when the stress intensity factor at the crack tip is smaller than the fracture toughness of the material.

    中文摘要..................................................................................................Ⅰ 英文摘要..................................................................................................Ⅱ 致謝..........................................................................................................Ⅲ 表目錄..................................................................................................ⅤⅡ 圖目錄..................................................................................................IX 第一章 緒論..............................................................................................1 1.1. 前言..............................................................................................1 1.2. 修補方式......................................................................................2 1.2.1. 機械式.............................................................................3 1.2.2. 非機械式.........................................................................4 1.3. 研究動機與目的..........................................................................5 1.4. 文獻回顧......................................................................................6 1.5. 研究方法......................................................................................7 1.6. 論文架構......................................................................................8 第二章 相關理論......................................................................................9 2.1. 破壞力學......................................................................................9 2.2. 應力強度因子計算方法............................................................10 2.3. 有限元素模擬............................................................................12 第三章 分析過程與驗證........................................................................14 3.1. 分析結果的驗證........................................................................14 3.1.1. 應力強度因子的計算...................................................15 3.1.2. 應力強度因子的驗證...................................................15 3.2. 問題的定義與描述....................................................................16 3.2.1. 分析模型.......................................................................16 3.2.2. 幾何尺寸與材料性質...................................................16 3.2.3. 有限元素模型...............................................................17 第四章 分析結果與討論........................................................................19 4.1. 補片高度對裂縫尖端應力強度因子的影響............................19 4.2. 補片寬度對裂縫尖端應力強度因子的影響............................19 4.3. 不同裂縫長度找補片最小體積尺寸........................................20 4.4. 分析結果....................................................................................21 第五章 結論............................................................................................23 參考文獻..................................................................................................24 自述..........................................................................................................57   表目錄 表3.1 以不同裂縫面節點選取方法計算所得之鋁合金平板 的應力強度因子................................................................. 27 表3.2 鋁合金平板應力強度因子與理論解的驗證.......................27 表3.3 材料常數................................................................................27 表4.1(a) 以裂縫長度2a = 24 mm計算最小體積的補片尺寸........28 表4.2(b) 以裂縫長度2a = 24 mm計算最小體積的補片尺寸........29 表4.3(c) 以裂縫長度2a = 24 mm計算最小體積的補片尺寸........30 表4.4(a) 以裂縫長度2a = 18 mm計算最小體積的補片尺寸........31 表4.5(b) 以裂縫長度2a = 18 mm計算最小體積的補片尺寸........32 表4.6(c) 以裂縫長度2a = 18 mm計算最小體積的補片尺寸........33 表4.7(a) 以裂縫長度2a = 12 mm計算最小體積的補片尺寸........34 表4.8(b) 以裂縫長度2a = 12 mm計算最小體積的補片尺寸........35 表4.9(c) 以裂縫長度2a = 12 mm計算最小體積的補片尺寸........36 表4.10(a) 以裂縫長度2a = 6 mm計算最小體積的補片尺寸..........37 表4.11(b) 以裂縫長度2a = 6 mm計算最小體積的補片尺寸..........38 表4.12(c) 以裂縫長度2a = 6 mm計算最小體積的補片尺寸..........39 表4.13(a) 以裂縫長度2a = 3 mm計算最小體積的補片尺寸..........40 表4.14(b) 以裂縫長度2a = 3 mm計算最小體積的補片尺寸..........41 表4.15 不同裂縫長度之下補片的最小體積..................................42 表4.16 驗證以複材補片修補不同裂縫長度的應力強度因子分 析結果...................................................................................42   圖目錄 圖1.1 鉚釘接合修補示意圖............................................................43 圖1.2 止裂孔修補示意圖................................................................43 圖1.3 膠合修補示意圖....................................................................44 圖2.1 結構件之裂縫的三種破壞模式............................................44 圖2.2 具裂縫之結構受一拉伸應力................................................45 圖2.3 不同裂縫位置的張裂式破壞................................................45 圖2.4 三種形狀修正因子的比值....................................................46 圖2.5 ANSYS分析處理流程..........................................................46 圖3.1 含裂縫鋁合金平板之示意圖................................................47 圖3.2 鋁合金平板四分之一模型的網格圖....................................47 圖3.3 鋁合金平板之Von mises應力分佈圖..................................48 圖3.4 鋁合金平板之Von mises應力於裂縫處局部放大圖.........48 圖3.5 裂縫尖端與裂縫面示意圖....................................................49 圖3.6 裂縫面節點三種選取方式....................................................49 圖3.7 對稱型複材補片修補方式圖................................................50 圖3.8 整體結構1/8模型示意圖.....................................................50 圖3.9 ANSYS Solid45 元素...........................................................51 圖3.10 ANSYS Solid46 元素...........................................................51 圖3.11 鋁合金平板及補片之網格圖................................................52 圖3.12 鋁合金平板於裂縫面示意圖................................................52 圖4.1 補片高度對裂縫應力強度因子的影響(t = 2.25 mm) ........53 圖4.2 補片高度對裂縫應力強度因子的影響(c = 36 mm) ...........53 圖4.3 補片寬度對裂縫應力強度因子的影響(t = 2.25 mm) .........54 圖4.4 補片寬度對裂縫應力強度因子的影響(d = 24 mm) ...........54 圖4.5 不同裂縫長度之下對應力強度因子的影響........................55 圖4.6 補片寬度與裂縫長度關係圖.................................................55 圖4.7 補片高度與裂縫長度關係圖.................................................56 圖4.8 補片厚度與裂縫長度關係圖.................................................56

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