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研究生： 李佳勤
Lesmana, Cindrawaty
論文名稱： 鋼筋混凝土板以FRP補強之有限元素分析
Finite Element Analysis of RC Slabs Strengthened with Fiber-Reinforced Plastics
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： 2014
畢業學年度： 102
語文別： 英文
論文頁數： 152
中文關鍵詞： 有限元素分析 、疊層材料 、鋼筋混凝土板
外文關鍵詞： Finite element analysis, Laminates, Reinforced concrete slab
相關次數： 點閱：113  下載：11 
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    • 連結纖維加勁複合材料(FRP)於鋼筋混凝土(RC)結構之受張力面，是一種有效提升鋼筋混凝土結構強度的有效方法。然而目前此領域僅有少數的數值模擬研究能提出適當材料特性模型來模擬此複合結構的非線性材料行為。本研究提出使用非線性有限元素法分析FRP加勁混凝土板的結果，針對各種參數，如載重、板厚度、混凝土強度、鋼筋和纖維加勁複合材料性能進行了研究，並觀察纖維加勁複合材料強化後的鋼筋混凝土板行為和最大極限載重。這項研究顯示，合理的設計FRP加勁鋼筋混凝土板和適當的模擬材料特性及介面特性是正確預測此複合結構行為之重要因素，此外本研究所提出的建議經驗公式可應用於土木複合結構的分析及設計上。

    The external bonding of fiber-reinforced polymer (FRP) to tension faces of reinforced concrete (RC) structures is an effective technique for the strengthening of reinforced concrete structures. In such area, only a limited amount of research is available on the numerical modeling that includes appropriate constitutive models to simulate the nonlinear material behavior of the composite structures. This study presents the results of nonlinear finite element analysis for reinforced concrete slabs strengthened with FRP material. Various parameters such as loading, slab thickness, concrete strength, steel bars and FRP properties are investigated to observe the behaviors and the ultimate load capacities of the FRP-strengthened RC slabs. This study demonstrates that the rationale consideration to design FRP-strengthened RC slabs and the proper modeling of constitutive materials and interfaces are essential to simulate suitable behavior of the composite structures. The proposed empirical equations are applicable in the analysis and design of civil engineering composite structures.

    ACKNOWLEDGEMENTS II ABSTRACT IV TABLE OF CONTENTS VI LIST OF TABLES IX LIST OF FIGURES X NOTATION XV CHAPTER ONE INTRODUCTION 1 1.1 Background 1 1.2 State of the art of the research 3 1.3 Objective and scope 7 1.4 Organization 8 CHAPTER TWO LITERATURE REVIEW 10 2.1 Introduction 10 2.2 Material constitutive relations of concrete 10 2.2.1 Uniaxial behavior of the concrete 10 2.2.2 Multiaxial behavior of the concrete 15 2.2.3 Smeared crack concrete model 16 2.2.4 Tension stiffening 19 2.2.5 Fracture energy cracking criterion 20 2.2.6 Shear retention 22 2.3 Material constitutive relations of steel 23 2.4 Material constitutive relations of FRP 25 2.4.1 Tsai –Wu Criteria 26 2.5 Bond between FRP and concrete 31 CHAPTER THREE NUMERICAL METHOD 35 3.1 Finite element method 35 3.1.1 Element types 35 3.1.2 Cohesive zone model approach 38 3.1.3 Analysis Solution 40 3.1.3.1 Newton stabilize method 40 3.1.3.2 Riks method 44 3.2 Research framework 45 CHAPTER FOUR FINITE ELEMENT MODEL DEVELOPMENT 50 4.1 Assumption and scope 50 4.2 Model characteristics 50 4.2.1 Model geometry 50 4.2.2 Numerical model 52 CHAPTER FIVE NUMERICAL ANALYSIS 58 5.1 Verification of numerical model against experimental data 58 5.2 Numerical analysis of square reinforced concrete slabs strengthened by fiber-reinforced plastics with various patterns 59 5.2.1 Performance of RC square slab due to subjected load 60 5.2.2 The effect of FRP reinforcements in composite square slabs 62 5.2.2.1 FRP shapes 63 5.2.2.2 FRP ratios 65 5.2.2.3 Number of FRP layers 68 5.2.2.4 Fiber orientations 70 5.2.3 The effect of steel properties in composite square slabs 73 5.2.4 The effect of concrete properties in composite square slabs 76 5.2.5 General behavior of the composite square slabs 76 5.3 Numerical analysis of rectangular reinforced concrete slabs strengthened by fiber reinforced plastics 81 5.3.1 Effect of the aspect ratios to the maximum load of the pure RC slabs 83 5.3.2 Effect of the FRP percentages on strengthening composite slabs 83 5.3.3 Effect of the fiber angle in composite slabs 88 5.3.4 Effect of number of layers in composite slabs 89 5.3.5 Results and discussion 92 5.4 Parametric analyses of square reinforced concrete slabs strengthened by fiber-reinforced plastics 99 5.4.1 Ultimate load analysis of the slabs with different thickness 99 5.4.2 Ultimate load analysis of the slabs with different concrete strength 101 5.4.3 Ultimate analysis of RC slabs with different steel reinforcing ratio 103 5.4.4 Ultimate load analysis of RC slabs with different variations of FRP reinforcement 107 5.4.5 Ultimate load analysis of RC slabs with different variations of boundary conditions 113 CHAPTER SIX CONCLUSIONS 115 6.1 Conclusions 115 6.2 Future work 118 REFERENCES 119 APPENDIX 1: ABAQUS INPUT FILE (MOSALLAM’S SLAB) 124 APPENDIX 2: FRP SUB-ROUTINES (FORTRAN) 130

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