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研究生: 楊宛蒨
Tang, wan-chian
論文名稱: 複合材料圍束混凝土柱受軸壓之非線性行為分析
Nonlinear Analysis of Axially Loaded Concrete Columns Confined by composite Materials
指導教授: 胡宣德
Hu, Hsuan-The
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: 2008
畢業學年度: 96
語文別: 中文
論文頁數: 196
中文關鍵詞: 複合材料圍束軸壓
外文關鍵詞: FRP, composite, axial
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  • 本文利用有限元素軟體ABAQUS分析複合材料圍束不同斷面形狀之混凝土構材的軸向抗壓強度與其應力-應變曲線之力學行為。主要透過考慮實際情況之材料行為,提出較合理的非線性分析模式,並利用有限元素軟體ABAQUS執行此非線性結構行為之數值計算。將數值模擬之結果與現有的實驗資料比對,以驗證分析模式之正確性。
    本文共採圓形、正方形、矩形三種斷面形狀,其中分別各有十九組、六組、兩組之不同混凝土強度、複合材料性質的試體實驗做比較,依據分析結果顯示,在調整適當的圍壓值可以準確的預測出複合材料圍束混凝土構材的軸向抗壓強度,並從其應力-應變曲線的趨勢皆與實驗數據的吻合程度提出討論,證明在單軸壓力作用下,本文所建議之分析模式合理且精確。

    This paper use ABAQUS software to analyze different shapes of concrete columns under axially loading strengthened by fiber reinforced composite materials and the relationship of axil stress and axial strain. Mainly propose more rational nonlinear analyses by considering the true material behavior, using ABAQUS to calculate this nonlinear numerical value. Comparing numerical results with experiment data , and checking accuracy of numerical models.
    This paper compares three shapes including circular, square, and rectangular, individually nineteen, six, two specimens of different strength of concrete, and properties of composite materials. The result shows that, after adjusting the value of lateral pressure, the prediction can be accurate in concrete strengthed by fiber reinforced composite materials. And the trends of its stress-strain curve are all quite identical with the experimental data. The way to analyze concrete columns under axially loading in proving the model of this paper is rational and accurate.

    摘 要................................................................................................. III ABSTRACT.......................................................................................V 誌 謝................................................................................................. VI 目 錄................................................................................................VII 圖目錄.............................................................................................XIV 表目錄.............................................................................................XIX 第一章 研究動機與目的 1 1.1研究動機 1 1.2 文獻回顧 2 1.3 研究目的 4 1.4 本文內容 5 第二章 複合材料圍束混凝土之材料行為 6 2.1 混凝土之材料行為 6 2.1.1 混凝土單軸行為 6 2.1.2 混凝土雙軸行為 10 2.1.3 混凝土三軸行為 11 2.2 複合材料纖維加勁之材料行為 15 2.2.1 纖維 17 2.2.2 基材 18 2.3 纖維 - CFRP 18 2.4 CFRP圍束混凝土之行為 19 2.5 纖維複合材料圍束混凝土之數學模型 20 2.5.1 纖維複合材料圍束圓形斷面混凝土之數學模型 20 2.5.2 纖維複合材料圍束正方形與矩形斷面混凝土之數學模型 22 2.6 複合材料(CFRP)圍束混凝土之模型 22 第三章 材料破壞行為之模擬與降伏準則 25 3.1 混凝土之模擬與降伏準則 25 3.2 Drucker-Prager models 28 3.2.1 降伏方程式 29 3.2.2 應力不變量 29 3.2.3 降伏 31 3.2.4 材料硬化 33 3.2.5 塑性流 33 3.2.6 材料參數之決定 34 3.3 複合材料(FRP) 34 3.3.1 正向性單層板的應力應變關係 36 3.3.2 破壞準則 37 3.3.3 最大應變準則(maximum strain criteria) 39 3.3.4 Tsai-Wu破壞準則 43 3.3.5 單層板應力應變在任意座標軸上的轉換關係 46 3.3.6 合力與合力矩的關係 47 3.4 複合材料之寬厚比與混凝土所受圍壓之關係 48 第四章 數值分析之結果與探討 51 4.1 本文所採用的實驗說明及參數 51 4.2 數值模擬說明 56 4.2.1 元素選擇 56 4.2.2 試體模擬 57 4.2.3 有限元素之收斂性分析 58 4.2.3.1 Cy01圓形斷面模型之收斂性分析 58 4.2.3.2 S01正方形斷面模型之收斂分析 58 4.2.3.3 R01矩形斷面模型之收斂分析 59 4.3 數值模擬的前置作業說明 60 4.3.1 混凝土與CFRP之間的界面黏結的問題 60 4.3.2 接觸面(contact surface) 設定之不同對分析的影響 61 4.3.2.1 操作前之說明 61 4.3.2.2 不同接觸面設定 65 4.3.2.3 不同元素對分析的影響 67 4.3.2.4 摩擦力的影響 69 4.3.3 分析結果討論 71 4.4 複合材料圍束混凝土之應力與應變之探討 71 4.4.1 試誤法找 72 4.4.2 關於試誤法 75 4.4.3 試誤法中改變 的影響 76 4.5 CFRP圍束圓形斷面混凝土之應力應變模式之探討 80 4.5.1試誤法 80 4.5.2 試驗一 86 4.5.2.1 Cy01 試體 86 4.5.2.2 Cy02 試體 87 4.5.2.3 Cy03 試體 89 4.5.2.4 Cy04 試體 90 4.5.2.5 Cy05 試體 91 4.5.2.6 Cy06 試體 92 4.5.2.7 Cy07 試體 93 4.5.2.8 Cy08 試體 95 4.5.2.9 Cy09 試體 96 4.5.2.10 Cy10 試體 97 4.5.2.11 Cy11 試體 99 4.5.3 試驗二 100 4.5.3.1 Cy12試體 100 4.5.3.2 Cy14試體 103 4.5.3.3 Cy15試體 104 4.5.4 試驗三 105 4.5.4.1 Cy16試體 106 4.5.4.2 Cy17試體 107 4.5.4.3 Cy18試體 108 4.5.4.4 Cy19試體 109 4.5.5 分析結果討論 111 4.6 CFRP圍束方形斷面混凝土之應力應變模式之探討 118 4.6.1 試誤法 118 4.6.2 試驗一 123 4.6.2.1 S01 試體 124 4.6.2.2 S02 試體 125 4.6.2.3 S03 試體 126 4.6.3 試驗二 127 4.6.3.1 S04 試體 128 4.6.3.2 S05 試體 129 4.6.3.3 S06 試體 131 4.6.4 分析結果討論 132 4.7 CFRP圍束矩形斷面混凝土之應力應變模式之探討 137 4.7.1 試誤法 137 4.7.2 試驗一 140 4.7.2.1 R01 試體 140 4.7.2.2 R02 試體 141 4.7.3 分析結果討論 142 4.8 複合材料CFRP之寬厚比與混凝土所受圍壓之探討 145 第五章 結論與建議 150 5.1結論 150 5.2研究方向與建議 151 參考文獻 153 附 錄A 158 圍束混凝土試體之複合材料FORTRAN副程式 158 附 錄B 162 ABAQUS 輸入檔模擬CY08試體(3 LAYERS) 162 附 錄C 166 ABAQUS 輸入檔模擬S02試體(2 LAYERS) 166 附 錄D 172 自 述 178

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