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研究生: 林福銘
Lin, Fu-Ming
論文名稱: 纖維複合疊層材料補強鋼筋混凝土版之數值模擬
Numerical Simulation of Reinforced Concrete Slabs Strengthened with FRP
指導教授: 胡宣德
Hu, Hsuan-Teh
學位類別: 博士
Doctor
系所名稱: 工學院 - 土木工程學系
Department of Civil Engineering
論文出版年: 2005
畢業學年度: 93
語文別: 中文
論文頁數: 118
中文關鍵詞: 非線性破壞模式鋼筋混凝土補強複合材料
外文關鍵詞: Strengthened, FRP, Nonlinear, Smeared Crack, Reinforced Concrete
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  •   基於使用FRP補強土木結構物的施工新趨勢,有必要提出一套合理且有效的分析方法,可以準確預測補強後結構物的極限強度與巨觀行為(global behavior)機制,提供給工程實務上的評估使用。此分析方法,必須能考慮材料真實的非線性行為,並利用現有諸多實驗研究成果來驗證分析模式的正確性。

      本文主要的目標是藉由考慮更真實的材料行為,提出較合理的非線性分析模式,利用有限元素軟體ABAQUS來執行此非線性的數值計算,經由與現有的梁、正方形版、單向版等補強實驗資料驗證,確定建議的分析模式可準確預測RC結構物補強後的強度,並根據此模式作參數分析,供工程應用參考。

      參數分析的部分,主要以實驗資料較少的雙向版補強為主,討論在受均佈力作用下,補強面積與位置及纖維角度改變時,版之強度變化。最後並提出未來相關領域研究發展之建議。

    章節 頁次 摘要……………………………………………………………………..Ⅰ 目錄……………………………………………………………………..Ⅱ 圖目錄....................................................Ⅴ 第一章 緒論…………………………………………………………….1 1.1 研究動機…………………………………………………………..1 1.2 研究目的…………………………………………………………..2 1.3 研究方法…………………………………………………………..2 1.4 本文內容…………………………………………………………..3 第二章 鋼筋混凝土材料組合律……………………………………….4 2.1 鋼筋的材料性質…………………………………………………..4 2.2 混凝土的材料性質………………………………………………..5 2.2.1 混凝土的單軸受壓行為……………………………………....5 2.2.2 混凝土的彈性係數…………………………………………....6 2.2.3 混凝土的柏松比……………………………………………....7 2.2.4 混凝土的單軸受拉行為……………………………………....7 2.2.5 混凝土的雙軸行為…………………………………………....8 2.2.6 混凝土的三軸行為…………………………………………....8 2.2.7 混凝土的破壞準則…………………………………………...10 第三章 ABAQUS對混凝土材料之模擬……………………………....12 3.1 開裂行為………………………………………………………...12 3.1.1 張力加勁(tension stiffening)…………………………….13 3.1.2 剪力保留(shear retention)…………………………………15 3.2 抗壓的彈塑性理論……………………………………………...17 3.2.1 應變率分離(strain rate decomposition)…………………17 3.2.2 壓力降伏……………………………………………………...18 3.2.3 材料硬化……………………………………………………...19 3.2.4 塑性流………………………………………………………...19 第四章 複合材料之分析模式…………………………………………24 4.1 正向性單層板的應力應變關係………………………………...24 4.2 破壞準則………………………………………………………...26 4.2.1 Tsai-Wu破壞準則…………………………………………....26 4.3 單層板應力應變在任意座標軸上的轉換關係………………...29 4.4 合力與合力矩的關係…………………………………………...30 第五章 分析模式之驗證………………………………………………32 5.1 RC梁補強的分析模式驗證……………………………………...32 5.1.1 RC梁試體尺寸與材料參數……………………………….....32 5.1.2 分析模式之建立……………………………………………...33 5.1.3 分析結果與實驗之比較……………………………………...33 5.2 正方形RC版補強的分析模式…………………………………...34 5.2.1 正方形RC版試體尺寸與材料參數……………………….....35 5.2.2 分析模式的建立……………………………………………...35 5.2.3 分析結果與實驗之比較……………………………………...36 5.3 RC單向版補強的分析模式驗證………………………………...37 5.3.1 RC單向版試體尺寸與材料參數………………………….....37 5.3.2 分析模式的建立……………………………………………...38 5.3.3 分析結果與實驗之比較……………………………………...38 5.4 重點整理………………………………………………………...39 第六章 參數分析之結果………………………………………………41 6.1 問題敘述………………………………………………………...41 6.2 正方形版的補強討論…………………………………………...43 6.2.1 貼補面積與纖維角度的影響………………………………...43 6.2.2 三種貼補面積相近的補強討論……………………………...45 6.2.3 十字形、菱形與對角線形補強的延伸……………………...45 6.2.4 正方形版角隅補強的探討…………………………………...46 6.3 矩形版的補強討論……………………………………………...47 6.3.1 短向補強之鋼筋混凝土版極限強度分析…………………...48 6.3.2 矩形版角隅補強的探討……………………………………...49 第七章 結論與建議……………………………………………………51 7.1 結論……………………………………………………………...51 7.2 未來研究方向之建議…………………………………………...52 參考文獻……………………………………………………………….53 附圖…………………………………………………………………….58 附錄A 補強RC版之複合材料FORTRAN副程式………………….....96 附錄B ABAQUS輸入檔模擬Shahawy的梁實驗 (3 Layers)……...102 附錄C ABAQUS輸入檔模擬Mosallam的正方形版實驗……….....107 附錄D ABAQUS輸入檔模擬Seim的單向版實驗(中等長度補強)...114

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