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研究生： 阮登元
NGUYEN - DANG NGUYEN
論文名稱： FINITE ELEMENT STUDY ON PLASTIC HINGE LENGTH OF CORRODED REINFORCED CONCRETE BEAMS
FINITE ELEMENT STUDY ON PLASTIC HINGE LENGTH OF CORRODED REINFORCED CONCRETE BEAMS
指導教授： 歐昱辰
Yu-Chen Ou
口試委員: 邱建國
Chien-Kuo Chiu
宋裕祺
Yu-Chi Sung
學位類別： 碩士
Master
系所名稱： 工程學院 - 營建工程系
Department of Civil and Construction Engineering
論文出版年： 2012
畢業學年度： 100
語文別： 英文
論文頁數： 130
中文關鍵詞： Reinforced concrete beams 、Corrosion 、Non-linear finite element analysis 、flexural strength 、sectional analysis 、ductility 、plastic hinge length
外文關鍵詞： Reinforced concrete beams, Corrosion, Non-linear finite element analysis, flexural strength, sectional analysis, ductility, plastic hinge length
相關次數： 點閱：341  下載：6 
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    • A two-dimensional (2D) non-linear finite element analysis method was developed in this research to analyze the mechanical behavior of reinforced concrete beams with corroded steel reinforcement. The effects of corrosion were taken into consideration by: (1) modification of the constitutive law of concrete due to size effect and corrosion cracks, (2) loss of steel area, strength, and ductility, (3) hardening and buckling of steel bars, (4) modification of the bond constitutive law between corroded concrete and steel bars .The method was validated with published experimental results. A parametric study was carried out to examine the influences of concrete compressive strength corrosion level, reinforcement ratio, and shear span-to-depth ratios on the plastic hinge length of corroded beams. The plastic hinge length of a beam was obtained by using the tip displacement extracted from the beam finite element model combined with the yield and ultimate curvature derived from the sectional analysis of the beam. A smeared bond model was proposed to modify longitudinal rebar stress-strain relationship due to bond reduction the sectional analysis. Results of the study showed that, concrete compressive strengths as well as tensile reinforcement ratios did not show sound relations to plastic hinge length of corroded concrete beams. Besides, with a given a concrete strength, a corrosion level, a tensile reinforcement ratio, the plastic hinge length enlarged with an increase in span-to-depth ratio. Furthermore, corrosion level affected plastic hinge length. The effect of corrosion levels on the plastic hinge length was observed following two phases. First phase, low corrosion levels in range of 0% to 10%, 10% percent corrosion decreased the plastic hinge length by approximately 3.48 percent. Additionally, as to second phase, more severe corrosion levels in range of 10% to 25%, 10% corrosion resulted in about 21.67% reduction of the plastic hinge. Finally, simplified expressions were proposed to modify plastic hinge length owning to corrosion levels.

    A two-dimensional (2D) non-linear finite element analysis method was developed in this research to analyze the mechanical behavior of reinforced concrete beams with corroded steel reinforcement. The effects of corrosion were taken into consideration by: (1) modification of the constitutive law of concrete due to size effect and corrosion cracks, (2) loss of steel area, strength, and ductility, (3) hardening and buckling of steel bars, (4) modification of the bond constitutive law between corroded concrete and steel bars .The method was validated with published experimental results. A parametric study was carried out to examine the influences of concrete compressive strength corrosion level, reinforcement ratio, and shear span-to-depth ratios on the plastic hinge length of corroded beams. The plastic hinge length of a beam was obtained by using the tip displacement extracted from the beam finite element model combined with the yield and ultimate curvature derived from the sectional analysis of the beam. A smeared bond model was proposed to modify longitudinal rebar stress-strain relationship due to bond reduction the sectional analysis. Results of the study showed that, concrete compressive strengths as well as tensile reinforcement ratios did not show sound relations to plastic hinge length of corroded concrete beams. Besides, with a given a concrete strength, a corrosion level, a tensile reinforcement ratio, the plastic hinge length enlarged with an increase in span-to-depth ratio. Furthermore, corrosion level affected plastic hinge length. The effect of corrosion levels on the plastic hinge length was observed following two phases. First phase, low corrosion levels in range of 0% to 10%, 10% percent corrosion decreased the plastic hinge length by approximately 3.48 percent. Additionally, as to second phase, more severe corrosion levels in range of 10% to 25%, 10% corrosion resulted in about 21.67% reduction of the plastic hinge. Finally, simplified expressions were proposed to modify plastic hinge length owning to corrosion levels.

    ABSTRACT i ACKNOWLEDGEMENTS ii LIST OF TABLES v LIST OF FIGURES vi CHAPTER 1 INTRODUCTION 1 1.1 Background 1 1.2 Statement of problems 2 1.3 Objectives and Scope of the study 3 1.4 Outline 3 CHAPTER 2 PLASTIC HINGE LENGTH REVIEW 5 2.1 Previous research on Plastic hinge length 6 2.1.1 Barker (1956) 6 2.1.2 Mattock (1964, 1967) 8 2.1.3 Corley (1966) 9 2.1.4 Park, Priestley and Gill (1982) 10 2.1.5 Sakai and Sheikh (1989) 11 2.1.6 Mendis (2001) 11 2.1.7 Bae and Bayrak (2008) 11 2.1.8 Michael et al. (2008) 11 2.1.9 Ou et al. (2011) 12 2.2 Basic Knowledge of Plastic Hinge Length 13 CHAPTER 3 MATERIAL CONSTITUTIVE LAWS 15 3.1 Mechanical behavior of corroded reinforcement concrete structures 15 3.2 Corroded material model 17 3.2.1 Concrete 18 3.2.2 Tensile envelope curve 18 3.2.3 Compressive envelope curve 24 3.3 Steel reinforcing bar 33 3.3.1 Residual cross-section of corrosion damaged steel 33 3.3.2 Residual strength of corrosion damaged steel 36 3.3.3 Residual ductility of corrosion damaged steel 37 3.3.4 Tensile envelop curve of steel 39 3.3.5 Compression envelop curve of steel 42 3.4 Bond between reinforcement and concrete 45 3.4.1 Bond strength of corroded rebars. 45 3.4.2 Local bond stress-slip law 47 CHAPTER 4 FINITE ELEMENT VALIDATION 49 4.1 Finite element method modeling 49 4.2 Analysis of a plain concrete beam 49 4.3 Analysis of a reinforced concrete beam 53 4.4 Conclusions 76 CHAPTER 5 PARAMETRIC STUDY 77 5.1 Material properties 77 5.1.1 Concrete compressive strength (fc') 77 5.1.2 Steel strength 77 5.2 Design beam cross-section 78 5.2.1 Flexural members of special moment frame 78 5.2.2 Longitudinal reinforcement 79 5.2.3 Transverse reinforcement 80 5.3 Aspect ratio (L/h) 81 5.4 Corrosion level (X) 81 5.5 Check the specimens for shear strength requirement 82 5.6 Sectional analysis 89 5.6.1 Un-confined and confined concrete 89 5.6.2 Reinforcing bars 93 5.6.3 Ultimate condition 96 5.7 Results and discussion 96 5.7.1 Obtaining Plastic hinge length 97 5.7.2 Plastic hinge length result 98 5.7.3 Effect of corrosion level on plastic hinge length 102 5.7.4 Effect of compressive strength on plastic hinge length 105 5.7.5 Effect of reinforcement ratio on plastic hinge length 107 5.7.6 Effect of span-to-depth ratio on the plastic hinge length 109 CHAPTER 6 CONCLUSIONS 110 REFERENCES 112

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