Modeling Uniaxial Bond Stress–Slip Behavior of Reinforcing Bars Embedded in Concrete with Different Strengths
Abstract
:1. Introduction
2. Experimental Details
2.1. Materials and Mix Proportions
2.2. Proportions Casting of Specimens
2.3. Instrumentation and Test Procedures
2.4. Analytical of Measurements
2.4.1. Definition of the Model
2.4.2. Stress and Strain of Steel
2.4.3. Stress and Strain of Concrete
2.4.4. Bond Stress
2.4.5. Slip between Concrete and Steel Bar
3. Experimental Results and Discussion
3.1. Mechanical Properties of Concrete
3.2. Steel Strain Distribution
3.3. Concrete Strain Distribution
3.4. Bond Stress Distribution
3.5. Slip Distribution
3.6. Bond Stress–Slip Relationship
3.7. Position Function
3.8. Bond Stress–Slip Constitutive Relationship
4. Conclusions
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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Parameter | Model Code 2010 [19] | Huang et al. [20] | Harajli et al. [21] |
---|---|---|---|
Confined Concrete | Normal Strength Concrete | Concrete | |
1.0 mm | 1.0 mm | 0.15 Distance bet. ribs | |
3.0 mm | 3.0 mm | 0.35 Distance bet. ribs | |
Distance bet. ribs | Distance bet. ribs | Distance bet. ribs | |
α | 0.4 | 0.4 | 0.3 |
0.4 | 0.4 |
Author | Concrete Type | Concrete Strength (MPa) | Embedment Length | Maximum Bond Strength (MPa) |
---|---|---|---|---|
Viwathanatepa et al. (1979) [23] | Normal concrete | 30 | - | 15 () |
Hawkins et al. (1982) [24] | Normal concrete | 45 | 2db | 34 () |
Vos and Reinhardt (1982) [25] | Normal concrete | 20 | 3db | 8 () |
35 | 17 () | |||
45 | 25 () | |||
Eligehausen et al. (1983) [7] | Normal concrete | 30 | 5db | 14 () |
55 | 19 () | |||
Fang et al. (2006) [26] | Normal concrete | 22–43 | 4db | 22 () |
Kivell et al. (2011) [27] | Normal concrete | 65 | 4db | 32 () |
Araujo et al. (2013) [28] | Fiber concrete | 60 | 5db | 20 () |
Choi et al. (2015) [29] | High performance concrete | 40 | 4db | 35.9 () |
80 | 37.1 () | |||
100 | 35.3 () | |||
120 | 36.4 () | |||
Pishro and Feng (2017) [30] | Ultra high performance concrete | 82.6 | 2db | 17.7 () |
93.6 | 19.2 () | |||
107.6 | 25.1 () | |||
113.6 | 27.0 () | |||
Chu and Kwan (2019) [2] | Fiber concrete | 51.6–61.3 | 4.2db | 19.4–27.1 () |
Aggregate Type | Specific Weight (SSD) | Water Absorption (SSD) (%) | Unit Weight (Dry-Rodded) (kg/m3) | FM |
---|---|---|---|---|
Coarse aggregate | 2.63 | 1.24 | 1532 | - |
Fine aggregate | 2.56 | 1.33 | - | 2.75 |
Type | Specific Weight | pH Value | Solid Composition (%) |
---|---|---|---|
HPC 1000 | 1.20 | 7 ± 1 | 3.37 |
MTP A40 | 1.13 | 7 ± 1 | - |
Mix No. | Water/Cement Ratio (W/C) | Cement (kg/m3) | Water (kg/m3) | Aggregate (kg/m3) | SP (kg/m3) | Dry Unit Weight (kg/m3) | |
---|---|---|---|---|---|---|---|
FA | CA | ||||||
C20 | 0.76 | 267 | 203 | 772 | 1054 | 0 | 2147 |
C40 | 0.52 | 390 | 203 | 670 | 1054 | 0.78 | 2194 |
C60 | 0.32 | 591 | 189 | 523 | 1063 | 6.50 | 2301 |
Mix No. | Compressive Strength (MPa) | Splitting Strength (MPa) | Elastic Modulus (GPa) |
---|---|---|---|
C20 | 20.20 | 2.40 | 23.32 |
C40 | 40.97 | 2.91 | 30.22 |
C60 | 59.46 | 3.23 | 30.72 |
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Tang, C.-W. Modeling Uniaxial Bond Stress–Slip Behavior of Reinforcing Bars Embedded in Concrete with Different Strengths. Materials 2021, 14, 783. https://doi.org/10.3390/ma14040783
Tang C-W. Modeling Uniaxial Bond Stress–Slip Behavior of Reinforcing Bars Embedded in Concrete with Different Strengths. Materials. 2021; 14(4):783. https://doi.org/10.3390/ma14040783
Chicago/Turabian StyleTang, Chao-Wei. 2021. "Modeling Uniaxial Bond Stress–Slip Behavior of Reinforcing Bars Embedded in Concrete with Different Strengths" Materials 14, no. 4: 783. https://doi.org/10.3390/ma14040783