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研究生: 林子淑
Lin, Zih-shu
論文名稱: 複合材料補強預力混凝土梁之非線性有限元素分析
Nonlinear Finite Element Analysis of Prestressed Concrete Beams Strengthened by Fiber-Reinforced Plastic 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: 2009
畢業學年度: 97
語文別: 中文
論文頁數: 174
中文關鍵詞: 複合材料補強
外文關鍵詞: Strengthened, ABAQUS, prestressed Concrete, PC, beam, FRP, CFRP
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  • 利用FRP補強結構物是施工的趨勢,有必要提出一套合理且高可信度的分析分法,可以準確預測補強後結構物的極限強度及相關趨勢,提供工程實務界的評估使用。

    本文是利用有限元素分析軟體ABAOUS,對FRP補強預力混凝土梁提出合理的非線性分析模式。所分析的預力混凝土梁分為長梁和短梁兩種情況,再細分為低預力、中預力、高預力情況下,FRP補強底面與側面的行為。在補強的形式上,本文將FRP補強的層數與纖維角度設為影響極限載重強度的參數。希望在上述不同的情況下,獲得使FRP補強預力混凝土梁效果較佳的一些趨勢,提供相關研究、工程應用參考及建議。

    The current trend in construction is to use FRP as reinforcement in concrete structures. Therefore, a reliable and effective analysis method is needed to offer for practical engineering applications.
    This paper shows a reasonable nonlinear model of prestressed concrete beams strengthened by fiber-reinforced plastic materials with the commercial FEM software, ABAQUS. PC beam compares two shapes including long beam and short beam. And prestressed force compares low, middle and high prestressed forces. For PC beam strengthened by FRP, this paper compares strengthened in bottom face and lateral face. The important parameters are layers of FRP and angle of FRP for strengthened types. In the above-mentioned conditions, this paper provides some good trend of prestressed concrete beams strengthened by FRP for correlated research and engineering application.

    摘 要 III ABSTRACT IV 致謝 V 目錄 VI 表目錄 X 圖目錄 XI 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 預力混凝土的材料性質 4 2.1 混凝土的材料性質 4 2.1.1 混凝土單軸行為 4 2.1.2 混凝土雙軸行為 6 2.1.3 混凝土三軸行為 7 2.2 預力鋼筋的材料性質 8 2.3 非預力鋼筋的材料性質 8 第三章 混凝土材料組合率及降伏準則 11 3.1 應力不變量 11 3.1.1 主應力 11 3.1.2 偏差應力張量及其不變量 12 3.1.3 八面體應力 14 3.2 混凝土降伏判斷準則 15 3.2.1 崔司卡降伏準則(The Tresca Yield Criterion) 16 3.2.2 孟米瑟斯降伏準則(The von Mises Yield Criterion) 17 3.2.3 莫耳-庫倫降伏準則(The Mohr-Coulomb Criterion) 18 3.3 ABAQUS對混凝土材料行為之模擬 19 3.3.1 模式說明 20 3.3.2 開裂行為簡介 22 3.3.2-1 開裂檢測與彈性損壞 22 3.3.2-2 張力加勁(Tension Stiffening) 23 3.3.2-3 剪力保留(Shear Retention) 25 3.3.2-4 張力降伏 26 3.3.2-5 塑性流 27 3.3.2-6 材料硬化 27 3.3.3 混凝土的彈-塑性理論 28 3.3.3-1 應變率 28 3.3.3-2 壓力降伏 29 3.3.3-3 材料應變硬化 31 3.3.3-4 塑性流 31 第四章 複合材料之分析模式 34 4.1 正向性單層板的線性應力-應變關係 35 4.2 正向性單層板的非線性分析模式 37 4.3 破壞準則 38 4.3.1 Tsai-Wu破壞準則 39 4.4 單層板應力應變在任意座標軸上的轉換關係 42 4.5 合力與合力矩的關係 43 第五章 數值分析 45 5.1 PC板的分析模式驗證 45 5.1.1 PC實心板尺寸與材料參數 45 5.1.2 PC實心板分析模式的建立 46 5.1.3 PC實心板分析結果與實驗比較 47 5.1.4 補強PC實心板尺寸與材料參數 47 5.1.5 補強PC實心板分析模式的建立 49 5.1.6 PC實心板分析結果與實驗比較 49 5.2 預力梁尺寸與材料參數 50 5.3 預力梁分析模式的建立 52 5.4 未補強PC梁分析 53 5.5 補強底面PC梁分析 54 5.6 補強二側PC梁分析 57 第六章 結論 63 參考文獻 65 附錄(Appendix) 132 附錄A 補強PC板之複合材料 FORTRAN 副程式 132 附錄B ABAQUS 輸入檔模擬 Shahawy 實心板實驗 138 附錄C ABAQUS 輸入檔模擬 Shahawy 實心板補強實驗 141 附錄D ABAQUS 輸入檔模擬純PC梁 144 附錄E ABAQUS 輸入檔模擬補強底面PC梁 147 附錄F ABAQUS 輸入檔模擬補強側面PC梁 151 自述 155

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