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研究生: 楊詩蔚
Yang, Shih-wei
論文名稱: 纖維加勁複合材料管補強混凝土柱受軸壓之非線性分析
Nonlinear Analyses of Axially Loaded Concrete Columns Strengthened by Fiber Reinforced Composite Materials
指導教授: 胡宣德
Hu, Hsuan-teh
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: 2007
畢業學年度: 95
語文別: 中文
論文頁數: 85
中文關鍵詞: 軸壓非線性分析複合材料纖維加勁
外文關鍵詞: Axially Loaded, Nonlinear Analyses, FRP, Fiber Reinforced Composite Materials
相關次數: 點閱:128下載:8
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  • 摘 要
    本文利用有限元素軟體ABAQUS來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來執行此非線性之數值計算。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。本文並針對混凝土強度、寬厚比、圍壓、混凝土軟化參數與圍束混凝土之應力應變的關係提出來討論。
    本文分別採三種斷面形狀(圓形、正方形、矩形)與十六組不同混凝土強度、複合材料厚度的試體實驗做比較,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與混凝土軟化參數之值,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。

    Abstract
    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. Via verifying with the experiment data, exactness by way of confirming and analyzing. This paper also takes the difference of strength of concrete , width-to-thickness ratio(D/t), lateral pressure (fl)and parameter of concrete softening(k3) and the relation of the stress-strain of concrete confined by fiber reinforced composite materials.
    This paper compares three shapes (circular, square, and rectangular), sixteen specimens of different strength of concrete, and thickness of composite materials. The result shows that, after adjusting the value of lateral pressure (fl) and parameter of concrete softening, 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.

    目 錄 第一章 研究動機與目的 1 1.1研究動機 1 1.2研究目的 2 1.3本文內容 2 第二章 複合材料圍束混凝土之材料行為 3 2.1混凝土之材料行為 3 2.1.1混凝土單軸行為 3 2.1.2混凝土雙軸行為 7 2.1.3混凝土三軸行為 8 2.2複合材料纖維加勁(FRP)之材料行為 10 2.2.1纖維 12 2.2.2基材(matrix) 13 2.3 CFRP、GFRP 及AFRP 與鋼材之比較 13 2.4複合材料(FRP)圍束混凝土之行為 14 2.5纖維複合材料圍束混凝土之數學模型 15 2.5.1纖維複合材料圍束圓形斷面混凝土之數學模型 15 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 16 2.6複合材料(FRP)圍束混凝土之模型 16 第三章 材料破壞行為之模擬與降伏準則 18 3.1混凝土之模擬與降伏準則 18 3.2 Drucker-Prager models 20 3.3複合材料(FRP) 26 3.4複合材料之寬厚比與混凝土所受圍壓之關係 37 第四章 數值分析之結果與探討 39 4.1 本文採用的實驗說明及材料參數 39 4.2數值模擬說明 41 4.2.1元素選擇 41 4.2.2試體模擬 42 4.3有限元素法之收斂性分析 43 4.3.1 Cy01圓形斷面模型之收斂性分析 43 4.3.2 S01正方形斷面模型之收斂性分析 44 4.3.3 R01矩形斷面模型之收斂性分析 45 4.4 複合材料圍束混凝土之應力與應變之探討 47 4.4.1複合材料圍束圓形斷面混凝土之應力與應變之探討 47 4.4.1.1 Cy01試體(f'C=25.6MPa,fl=95MPa) 47 4.4.1.2 Cy02試體(f'C=25.6MPa,fl=130MPa) 48 4.4.1.3 Cy03試體(f'C=33.68MPa,fl=70MPa) 49 4.4.1.4 Cy04試體(f'C=33.68MPa,fl=130MPa) 49 4.4.1.5 Cy05試體(f'C=33.68MPa,fl=150MPa) 50 4.4.1.6 Cy06試體(f'C=43.77MPa,fl=70MPa) 51 4.4.1.7 Cy07試體(f'C=43.77MPa,fl=130MPa) 51 4.4.1.8 Cy08試體(f'C=43.77MPa,fl=160MPa) 52 4.4.1.9 Cy09試體(f'C=55.21MPa,fl=70MPa) 53 4.4.1.10 Cy10試體(f'C=55.21MPa,fl=100MPa) 53 4.4.1.11 Cy11試體(f'C=55.21MPa,fl=170MPa) 54 4.4.2複合材料圍束正方形斷面混凝土之應力與應變之探討 55 4.4.2.1 S01試體(f'C=23.7MPa,fl=174MPa) 55 4.4.2.2 S02試體(f'C=23.7MPa,fl=197MPa) 55 4.4.2.3 S03試體(f'C=43.9MPa,fl=144MPa) 56 4.4.3複合材料圍束矩形斷面混凝土之應力與應變之探討 57 4.4.3.1 R01試體(f'C=23.7MPa,fl=152MPa) 57 4.4.3.2 R02試體(f'C=23.7MPa,fl=195MPa) 58 4.5複合材料之寬厚比與混凝土所受圍壓之探討 61 第五章 結論與建議 64 5.1結論 64 5.2研究方向與建議 65 參考文獻 66 附錄 68 附錄A 69 附錄B 74 附錄C 77 附錄D 81 自 述 85

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