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研究生： 呂其和
Lu, Chi-He
論文名稱： 楔形體填充物之有限元素分析
指導教授： 宋見春
Sung, Jen-Chun
學位類別： 碩士
Master
系所名稱： 工學院 - 土木工程學系
Department of Civil Engineering
論文出版年： 2004
畢業學年度： 92
語文別： 中文
論文頁數： 59
中文關鍵詞： 填充物 、裂縫 、應力強度因子 、奇異性 、位移 、楔形 、有限元素 、奇異元素 、應力
外文關鍵詞： crack, displacement, SIF, inclusion, finite element method, wedge, stress, singularity, ABAQUS, FEM
相關次數： 點閱：81  下載：3 
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    • 本文探討楔形體在凹口尖端的應力場，以及加入填充物後之應力場，利用有限元素法分析之。楔形(Wedge)之幾何形狀不連續，常會發生應力集中，是結構物的弱點。楔形凹口內加入填充物補強，應力將重新分配，適當填充將延長結構物的使用年限。而建築結構物常會有裂縫，裂縫是楔形體展開角為 之特例，在裂縫中填入環氧樹脂補強是工程界常見的補強方法。本文以ABAQUS分析楔形加入填充物前後之力學行為，計算其應力變化，希望再進而求得其應力強度因子。

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    摘要......................................................I 誌謝.....................................................II 目錄....................................................III 表目錄....................................................V 圖目錄...................................................VI 第一章 緒論...............................................1 1-1 研究動機與文獻回顧....................................1 1-2 研究方法..............................................1 1-3 內容簡介..............................................2 第二章 基本公式...........................................3 2-1 彈性力學問題的建立....................................3 2-2 平面問題..............................................5 2-2-1 平面應變(Plane strain)問題..........................5 2-2-2 平面應力(Plane stress)問題..........................7 2-2-3 平面問題總結........................................7 2-2-4 艾雷應力函數(Airy’s stress function)...............8 第三章 楔形體應力奇異性分析..............................10 3-1 單一材料之楔形體(Wedge) .............................11 3-1-1 曳引力為零(Traction free) .........................12 3-1-2 固定端(Fixed end) .................................15 第四章 有限元素分析......................................17 4-1 有限元素法理論簡介...................................17 4-2 奇異元素(Singularity element) .......................21 4-3 套裝軟體：ABAQUS 6.3-1...............................23 4-4 利用ABAQUS/Standard計算應力強度因子..................26 第五章 數值結果與討論....................................31 5-1 驗證標準問題.........................................31 5-1-1 驗證中央裂縫平板(Center-cracked plate)問題.........31 5-1-2 驗證單邊裂縫平板(Single-edge-cracked plate)問題....39 5-1-3 驗證他人之相關研究.................................43 5-2 楔形角度形狀對應力之影響.............................47 5-3 加入填充物...........................................49 5-3-1 例1................................................50 5-3-2 例2................................................51 第六章 結論..............................................54 參考文獻.................................................55 附錄.....................................................57 範例程式碼...............................................57 自述.....................................................59

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