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研究生： 滕長溱
Teng, Charng-Jen
論文名稱： 鋼筋混凝土梁以複合材料棒及複合材料板補強之數值分析
Numerical Analysis of Reinforced Concrete Bridge Girders by Fiber Reinforced Plastic Rods and Plates
指導教授： 胡宣德
Hu, Hsuan-Teh
共同指導教授: 韓愛麗
Han, Ay-Lie
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： 2020
畢業學年度： 108
語文別： 英文
論文頁數： 119
中文關鍵詞： 複合材料 、Abaqus 、NSM 、FRP
外文關鍵詞： Abaqus, finite element, FRP, NSM, cohesive
相關次數： 點閱：70  下載：0 
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    • 纖維加勁複合材料(FRP)是將玻璃纖維、碳纖維或硼纖維加於高分子環氧樹脂中所形成的一種複合材料，由於其具有高強度、重量輕以及耐蝕性佳等優點，現今利用FRP材料於土木結構物補強的概念至關重要，本研究取用FRP棒以及FRP板對梁進行加勁，並藉由數值分析來了解其中的貢獻和效益，而近表面安裝(NSM)於混凝土中的FRP棒深度與混凝土間的黏結關係也是我們所關心的重要課題。因此本研究使用有限軟體Abaqus來建構3D有限模型，其中包含了模擬雙重剪切搭接試驗(Double shear lap test)以及三點T型梁彎曲試驗，藉由與實際的實驗結果相比對，來匹配出近表面安裝（NSM）FRP棒與混凝土之間在模擬中的界面行為關係以及更深入了解FRP板與FRP棒對於T型梁彎曲試驗的貢獻和效益。

    Though there has been widespread use of FRP strengthening systems, it is important to carry out further experimental, analytical and quantitative assessment so as to comprehend the impact of various strengthening factors on the effectiveness of RC members. Abaqus, which is sophisticated numerical modeling software, is employed in this paper to formulate a 3D non-linear finite element (FE) model that is capable of accurately simulating double shear lap tests that can appropriately illustrate the nature of bond between FRP rods and concrete. For this purpose, the implementation specifically stresses on the modeling of the interface behavior among the near surface mounted (NSM) FRP rods/bars and concrete by making appropriate adjustments for the parameters of the bond stress/slip law used. In addition, an extensive 3D non-linear FE model is formulated that is capable of accurately forecasting the load-carrying ability and reaction of RC bridge girders reinforced with NSM FRP rods and plates exposed to three-point bending loading. To validate the FE models formulated, the forecasted behavior and response are contrasted with the computed experimental data.

    ABSTRACT I 摘要 II TABLE OF CONTENTS III LIST OF FIGURES VI LIST OF TABLES IX CHAPTER 1 INTRODUCTION 1 1.1. Overview 1 1.2. Motivation 3 1.3. Objectives 4 1.4. Thesis Structure 4 1.5. Research Procedure 5 CHAPTER 2 RESEARCH METHOD 6 2.1. General 6 2.2. Literature Review 7 2.2.1. Double Shear Lap Test of FRP-Concrete Interfacial Bond Behavior 7 2.2.2. Performances of FRP-Strengthened Structure 10 2.2. Element Type 13 2.3. Brief Introduction of Composite Materials 15 2.4. FRP Rod Behavior 16 2.5. FRP Plate Behavior 17 2.5.1. Linear Stress-Strain Relations of an Orthotropic Lamina 17 2.5.2. Nonlinear Constitutive Model of an Orthotropic Lamina 19 2.5.3. Nonlinear Stress-Strain Relations for a lamina on Arbitrary Orientation 20 2.5.4. Tsai-Wu Failure Theory 22 2.5.5. Failure Mode 24 2.6. Steel Behavior 25 2.7. Concrete Behavior 26 2.7.1. Concrete Damaged Plasticity Model 26 2.7.2. Tension Stiffening 27 2.7.3. Compressive Crushing 29 2.8. Adhesive Behavior 30 2.9. Coefficient of Determination 30 CHAPTER 3 FINITE ELEMENT MODELING OF DOUBLE SHEAR LAP TEST 31 3.1. Summary of Experimental Program 31 3.1.1. Test Set Up 31 3.1.2. FRP Rod Configuration 33 3.1.3. Placement of FRP Rods 34 3.2. Model Introduction 35 3.2.1. Geometric Models 36 3.2.2. Element Specifications 37 3.3. Material Properties 38 3.3.1. Concrete 38 3.3.2. Steel 39 3.3.3. FRP Rod 40 3.4. Constraints 41 3.4.1. Load and Boundary Conditions 41 3.4.2. Contact Interaction 41 3.5. Nonlinear Finite Element Analysis Procedure 43 3.6. Numerical Validation 44 3.6.1. Parameter Study 44 3.6.2. Relation between Embedment Depth of FRP rod and Cohesive Stiffness 48 CHAPTER 4 FINITE ELEMENT MODELING OF THREE-POINT BENDING TEST 53 4.1. Summary of Experimental Program 53 4.2. Model Introduction and Geometry 55 4.3. Element Specification 57 4.4. Material Properties 58 4.4.1. Concrete 58 4.4.2. Steel 60 4.4.3. FRP Rod and FRP Plate 61 4.5. Constraints 64 4.5.1. Load and Boundary Conditions 64 4.5.2. Contact Interactions 66 4.6. Numerical Validation 67 4.7. Extension 70 4.7.1. Effect of FRP Plate Width 71 4.7.2. Contributions of FRP Rod and FRP Plate 72 CHAPTER 5 CONCLUSIONS AND RECOMMENDATIONS 75 5.1. Conclusions 75 5.2. Recommendations for Further Research 77 REFERENCES 78 APPENDIX 85 A1. Analytical Calculations for 3-point Bending Test-BRF Beam 85 A2. Analytical Calculations for 3-point Bending Test-BRF Beam 87 A3. Abaqus Input File for Double Shear Lap Test Model 89 A4. Abaqus Input File for Model Control 3-Point Bending Model 99 A5. Abaqus Input File for Strengthened 3-Point Bending Model 106 A6. FORTRAN Subroutine 116

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