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SUMMARY
1. INTRODUCTION
Italian Presentation................................................................................... 1
1.1 Fiber Reinforced Concrete(FRC)............................................................. 8
1.2 Why Toronto............................................................................................ 9
1.3 Scope and Objectives of the Thesis.......................................................... 10
1.4 Organization of the Thesis....................................................................... 11
1.5
2. LITERATURE SURVEY
2.1 Starting Point.............................................................................................. 13
2.2 Development.............................................................................................. 14
2.3 Modified Compression Field Theory for
Reinforced Concrete Element subjected to shear (MCFT)........................ 15
2.3.1 Theory Assumption........................................................................... 15
2.3.2 Compatibility, Equilibrium and Stress-Strains
Conditions......................................................................................... 17
2.3.3 Experimental Program....................................................................... 22
2.3.4 Conclusions....................................................................................... 31
2.4 Disturbed Stress Field Model for reinforced concrete:
Formulation.............................................................................................. 33
2.4.1 Conceptual Model............................................................................. 34
2.4.2 Equilibrium conditions, Compatibility and i
SUMMARY
Constitutive Relations....................................................................... 36
2.4.3 Slip Model......................................................................................... 46
2.4.4 Conclusions....................................................................................... 47
2.5 Disturbed Stress Field Model for reinforced concrete:
Implementation......................................................................................... 48
2.5.1 Shear Slip Model............................................................................... 50
2.5.2 Conclusions....................................................................................... 52
2.6 Variable Engagement Model.................................................................... 52
2.6.1 Introduction....................................................................................... 53
2.6.2 Stress-COD Model Excluding Fiber Fracture................................... 55
2.6.3 Stress-COD Model Including Fiber Fracture.................................... 57
2.6.4 Conclusions....................................................................................... 57
2.7 Diverse Embedment Model (DEM) for Steel
Fiber-Reinforced concrete in tension: model development..................... 57
2.7.1 Theory Assumption........................................................................... 58
2.7.2 Pullout behavior of a single fiber...................................................... 59
2.7.2.1 Pullout behavior of a single straight fiber embedded
on one side............................................................................... 59
2.7.2.2 Pullout behavior of a single straight fiber embedded
on both sides............................................................................ 61
2.7.2.3 Pullout behavior of a single end-hooked fiber embedded
on both side.............................................................................. 62
2.7.3 Consideration of member dimension and
fiber embedded length....................................................................... 64
2.8 Diverse Embedment Model (DEM) for steel fiber-reinforced
concrete in tension: model verification.................................................... 67
2.8.1 Fiber orientation factor considering member dimension.................. 67
2.8.2 Model Verification............................................................................ 68
2.8.3 Conclusions....................................................................................... 69
ii
SUMMARY
3. MATERIALS and BEHAVIORS
3.1 Introduction.............................................................................................. 70
3.2 Fiber Reinforced Concrete (FRC) – Material Properties......................... 71
3.2.1 Concrete............................................................................................. 72
3.2.2 Normal Concrete (NC) and High Strength Concrete........................ 74
3.2.3 Reinforcing Steel............................................................................... 86
3.2.4 Fibers................................................................................................. 87
3.2.4.1 Steel Fibers (SF)...................................................................... 91
3.2.4.2 Macro-synthetic Fibers (MSNF).............................................. 92
3.2.4.2.1 Development of Macro-synthetic Fibers........................ 95
3.2.4.2.2 Properties of Macro-synthetic Fibers............................. 96
3.2.4.2.3 Adding Macro-synthetic Fibers in Concrete Matrix...... 96
3.2.4.3 Durability of Fibers in a Concrete Matrix................................. 97
3.3 Studies about Shrinkage........................................................................... 98
3.3.1 Different types of Shrinkage............................................................. 99
3.3.2 Plastic Shrinkage............................................................................... 100
3.3.3 Autogenous Shrinkage...................................................................... 101
3.3.4 Drying Shrinkage.............................................................................. 102
3.4 Adding Fibers in Concrete....................................................................... 105
3.4.1 Bond Concrete-Fibers....................................................................... 111
3.5 Constitutive Models for Concrete in Tension.......................................... 115
3.5.1 Tension Stiffening............................................................................. 119
3.5.2 Tension Softening............................................................................. 120
3.5.3 Tension Splitting............................................................................... 121
3.6 Constitutive Models for Concrete in compression................................... 123
3.6.1 Compression Softening..................................................................... 124
3.7 Structural use of FRC............................................................................... 125
3.8 Experiments on specimens....................................................................... 127
iii
SUMMARY
4. EXPERIMENT on FRC
4.1 Introduction.............................................................................................. 128
4.2 Panel Element Tester................................................................................ 128
4.3 Displacement measurement (LVDTs)...................................................... 130
4.4 LED Target............................................................................................... 132
4.5 Specimen Description............................................................................... 135
4.5.1 Concrete Mixing Procedures............................................................. 136
4.5.2 Cylinders........................................................................................... 138
4.5.2.1 Casting Procedure...................................................................... 139
4.5.2.2 Test Procedure........................................................................... 141
4.5.3 Dog-Bones......................................................................................... 142
4.5.3.1 Casting Procedure...................................................................... 145
4.5.3.2 Test Procedure........................................................................... 146
4.5.4 Prisms............................................................................................... 150
4.5.4.1 Casting Procedure...................................................................... 152
4.5.4.2 Test Procedure........................................................................... 153
4.5.5 Panels................................................................................................. 154
4.5.5.1 Casting Procedure...................................................................... 157
4.5.5.2 Test Procedure........................................................................... 160
iv
SUMMARY
5. TEST RESULTS
5.1 Introduction.............................................................................................. 163
5.2 Cylinder Compression Test...................................................................... 163
5.2.1 Previous Tests................................................................................... 166
5.2.2 Data Analysis.................................................................................... 167
5.2.3 Test Observation............................................................................... 169
5.2.4 Comparisons...................................................................................... 172
5.2.5 Conclusions....................................................................................... 178
5.3 Uniaxial Direct Tension Test................................................................... 179
5.3.1 Previous Tests.................................................................................... 181
5.3.2 Test Observation............................................................................... 182
5.3.3 Data Analysis..................................................................................... 189
5.3.4 Results of Data Analysis................................................................... 191
5.3.5 Influence of fiber content, fiber type, loading protocol
and concrete matrix strength.............................................................. 192
5.4 Prisms – Modulus of Rupture Tests......................................................... 194
5.4.1 Previous Tests................................................................................... 194
5.4.2 Test Observation............................................................................... 195
5.4.3 Data Analysis.................................................................................... 198
5.4.4 Results of Data Analysis................................................................... 200
5.5 Panel Test................................................................................................. 201
5.5.1 Previous Tests................................................................................... 201
5.5.2 Test Observation............................................................................... 202<