An Experimental Study on the Ductility and Flexural Toughness of Ultrahigh-Performance Concrete Beams Subjected to Bending
Abstract
:1. Introduction
2. Mix Design for UHPC and HSC
3. Material Properties
4. Experimental Program and Test Results
4.1. Details of the Test Beam and Instrumentation
4.2. Test Results
4.2.1. Effect of Steel Fiber Contents on the Cracking Pattern and Failure
4.2.2. Load-Deflection Behavior of the UHPC and HSC Beams
4.2.3. Effect of Rebar Ratios and Fiber Contents on the Ductility of the UHPC and HSC Beams
4.2.4. Flexural Toughness of the UHPC and HSC Beams
5. Conclusions
- (1)
- Because of the bridging effect provided by steel fibers, the tensile stress in the UHPC beams was carried across the cracks and transferred into the surrounding matrix. Consequently, multiple microcracks with tight spaces were observed in the UHPC beams, and these beams failed by the pullout of the steel fibers at the major crack.
- (2)
- At the same rebar ratio, the UHPC beams exhibited higher flexural capacity than the HSC beams. In addition, the ultimate deflection of the UHPC beams was affected not only by the rebar ratio but also by the steel fiber contents, whereas the ultimate deflection of the HSC beams decreased as the rebar ratio increased.
- (3)
- The addition of steel fibers in the UHPC beams improved the energy absorption capacity of the beams. The test results indicated that a substantial amount of energy was released after the steel fibers were pulled out of the matrix, which resulted in localized cracking and subsequently beam failure.
- (4)
- After initial cracking, the slopes of the moment-curvature curves of the UHPC beams were steeper than those of the HSC beams. Therefore, the presence of steel fibers in the UHPC matrix prevented the widening of the cracks and contributed to the development of flexural rigidity of the UHPC beams.
- 5)
- The ductility index of the UHPC beam was much smaller than that of the HSC beams at a rebar ratio of 0.79%. However, overall, the ductility index of the UHPC beams was greater than that of the HSC beams at a rebar ratio of 1.58%. This finding means that the presence of steel fibers could predominantly affect the ductility of the UHPC beams at a low rebar ratio.
- 6)
- The normalized flexural toughness of the UHPC beams was improved significantly by increasing the rebar ratios and steel fiber contents. However, the addition of a steel fiber content of 2.0% had a negative effect on the flexural toughness of the UHPC beams. Furthermore, overall, the normalized flexural toughness of the HSC beams decreased as the rebar ratio increased.
Author Contributions
Funding
Conflicts of Interest
References
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Mixture | W/B | Unit Content (kg/m3) | Steel Fiber by Concrete Volume | |||||||
---|---|---|---|---|---|---|---|---|---|---|
W | OPC | BFS | SF | Zr | S | F | G | (%) | ||
HSC | 0.15 | 150.0 | 700.0 | 150.0 | 150.0 | - | 467.5 | - | 765.1 | - |
UHPC-F10 | 0.22 | 209.0 | 770.0 | 135.0 | - | 58.0 | 847.0 | 231.0 | - | 1.0 |
UHPC-F15 | 0.22 | 209.0 | 770.0 | 135.0 | - | 58.0 | 847.0 | 231.0 | - | 1.5 |
UHPC-F20 | 0.22 | 209.0 | 770.0 | 135.0 | - | 58.0 | 847.0 | 231.0 | - | 2.0 |
Type | OPC | BFS | SF | Zr |
---|---|---|---|---|
Density (g/cm3) | 3.15 | 2.91 | 2.10 | 2.50 |
Surface area (cm2/g) | 3413 | 4463 | 240,000 | 85,800 |
SiO2 (%) | 21.01 | 34.56 | 96.00 | 94.00 |
Al2O3 (%) | 6.40 | 14.78 | 0.25 | 0.22 |
Fe2O3 (%) | 3.12 | 0.09 | 0.12 | 0.11 |
CaO (%) | 61.33 | 41.32 | 0.38 | 0.50 |
MgO (%) | 3.02 | 4.90 | 0.10 | - |
SO3 (%) | 2.14 | 2.78 | - | - |
Ignition loss (%) | 1.40 | 0.05 | 1.50 | 0.10 |
Beam Specimen | Concrete Type | Beam Section | Concrete | Rebar | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Width | Height | Compressive Strength | S.D. | Elastic Modulus | S.D. | Tensile Strength | S.D. | Nominal Diameter | Number of Rebars | Yield Strength | Rebar Area | Rebar Ratio | ||
b | h | fy | As | ρ | ||||||||||
(mm) | (mm) | (MPa) | (MPa) | (GPa) | (GPa) | (MPa) | (MPa) | (mm) | (MPa) | (mm2) | (%) | |||
HSC-R1 | HSC | 200 | 300 | 125 | 5 | 43.3 | 1.3 | - | - | 16 | 2 | 420.8 | 397.2 | 0.79 |
HSC-R2 | HSC | 200 | 300 | 16 | 3 | 420.8 | 595.8 | 1.18 | ||||||
HSC-R3 | HSC | 200 | 300 | 16 | 4 | 420.8 | 794.4 | 1.58 | ||||||
UHPC-F10-R1 | UHPC | 200 | 300 | 125 | 7 | 41.5 | 2.1 | 4.7 | 0.7 | 16 | 2 | 459.4 | 397.2 | 0.79 |
UHPC-F10-R2 | UHPC | 200 | 300 | 16 | 3 | 459.4 | 595.8 | 1.18 | ||||||
UHPC-F10-R3 | UHPC | 200 | 300 | 16 | 4 | 459.4 | 794.4 | 1.58 | ||||||
UHPC-F15-R1 | UHPC | 200 | 300 | 138 | 4 | 41.9 | 1.8 | 8.7 | 1.3 | 16 | 2 | 459.4 | 397.2 | 0.79 |
UHPC-F15-R2 | UHPC | 200 | 300 | 16 | 3 | 459.4 | 595.8 | 1.18 | ||||||
UHPC-F15-R3 | UHPC | 200 | 300 | 16 | 4 | 459.4 | 794.4 | 1.58 | ||||||
UHPC-F20-R1 | UHPC | 200 | 300 | 140 | 5 | 43.5 | 0.7 | 9.1 | 2.8 | 16 | 2 | 459.4 | 397.2 | 0.79 |
UHPC-F20-R2 | UHPC | 200 | 300 | 16 | 3 | 459.4 | 595.8 | 1.18 | ||||||
UHPC-F20-R3 | UHPC | 200 | 300 | 16 | 4 | 459.4 | 794.4 | 1.58 |
Beam Specimen | Initial Cracking State | Yielding State | Peak State | Ultimate Sate | Ultimate Strain | Deflection Ductility Index | Curvature Ductility Index | ||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Pcr | Mcr | Δcr | Py | My | Δy | Pp | Mp | Δp | Pu | Mu | Δu | ɛu | |||
(kN) | (kN∙m) | (mm) | (kN) | (kN∙m) | (mm) | (kN) | (kN∙m) | (mm) | (kN) | (kN∙m) | (mm) | (μɛ) | |||
HSC-R1 | 21.1 | 12.7 | 0.7 | 69.1 | 41.5 | 10.1 | 88.6 | 53.2 | 119.3 | 88.2 | 52.9 | 120.7 | 3607 | 12.0 | 6.3 |
HSC-R2 | 25.3 | 15.2 | 1.0 | 110.2 | 66.1 | 18.1 | 123.8 | 74.3 | 99.6 | 123.3 | 74.0 | 96.5 | 3580 | 5.3 | 2.4 |
HSC-R3 | 28.6 | 17.2 | 0.6 | 141.0 | 84.4 | 15.1 | 154.5 | 92.7 | 56.2 | 152.3 | 91.4 | 62.5 | 3051 | 4.1 | 1.7 |
UHPC-F10-R1 | 64.8 | 38.9 | 2.1 | 135.1 | 81.1 | 11.4 | 137.6 | 82.6 | 12.7 | 93.2 | 55.9 | 67.0 | 1372 | 5.9 | 2.2 |
UHPC-F10-R2 | 65.1 | 39.1 | 2.1 | 180.4 | 108.2 | 14.8 | 181.8 | 109.1 | 18.7 | 149.1 | 89.5 | 61.8 | 1288 | 4.2 | 1.1 |
UHPC-F10-R3 | 66.3 | 39.8 | 2.0 | 220.2 | 132.1 | 15.0 | 223.7 | 134.2 | 18.5 | 179.2 | 107.5 | 79.2 | 744 | 5.3 | 1.0 |
UHPC-F15-R1 | 69.4 | 41.6 | 2.1 | 184.8 | 110.9 | 12.6 | 187.5 | 112.5 | 13.4 | 102.3 | 61.4 | 86.7 | 2200 | 6.9 | 3.0 |
UHPC-F15-R2 | 70.9 | 42.5 | 2.1 | 223.6 | 134.2 | 15.0 | 224.4 | 134.6 | 15.5 | 100.0 | 60.0 | 90.8 | 1260 | 6.1 | 1.0 |
UHPC-F15-R3 | 63.0 | 37.8 | 1.8 | 233.9 | 140.4 | 15.3 | 243.3 | 146.0 | 19.4 | 191.7 | 115.0 | 69.3 | 1941 | 4.5 | 1.8 |
UHPC-F20-R1 | 91.1 | 54.7 | 2.9 | 166.6 | 100.0 | 10.8 | 167.2 | 100.3 | 11.0 | 89.6 | 53.8 | 52.6 | 1650 | 4.9 | 1.7 |
UHPC-F20-R2 | 91.0 | 54.6 | 3.1 | 212.2 | 127.3 | 13.7 | 217.5 | 130.5 | 14.7 | 157.9 | 94.7 | 41.5 | 1600 | 3.0 | 1.2 |
UHPC-F20-R3 | 87.0 | 52.2 | 2.9 | 238.5 | 143.1 | 16.0 | 239.4 | 143.6 | 16.4 | 193.4 | 116.0 | 46.3 | 2029 | 2.9 | 1.8 |
Beam Specimen | Flexural Toughness (kN∙mm) | Rebar yield Strength (MPa) | Normalized Flexural Toughness (kN∙mm) | Remarks |
---|---|---|---|---|
HSC-R1 | 9300 | 420.8 | 9300 | Reference beams |
HSC-R2 | 10,491 | 420.8 | 10,491 | |
HSC-R3 | 7817 | 420.8 | 7817 | |
UHPC-F10-R1 | 6759 | 459.4 | 6191 | Normalized beams |
UHPC-F10-R2 | 8845 | 459.4 | 8102 | |
UHPC-F10-R3 | 14,057 | 459.4 | 12,876 | |
UHPC-F15-R1 | 8692 | 459.4 | 7961 | |
UHPC-F15-R2 | 12,068 | 459.4 | 11,054 | |
UHPC-F15-R3 | 13,143 | 459.4 | 12,039 | |
UHPC-F20-R1 | 5732 | 459.4 | 5251 | |
UHPC-F20-R2 | 6356 | 459.4 | 5822 | |
UHPC-F20-R3 | 7938 | 459.4 | 7271 |
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Yang, I.-H.; Park, J.; Bui, T.Q.; Kim, K.-C.; Joh, C.; Lee, H. An Experimental Study on the Ductility and Flexural Toughness of Ultrahigh-Performance Concrete Beams Subjected to Bending. Materials 2020, 13, 2225. https://doi.org/10.3390/ma13102225
Yang I-H, Park J, Bui TQ, Kim K-C, Joh C, Lee H. An Experimental Study on the Ductility and Flexural Toughness of Ultrahigh-Performance Concrete Beams Subjected to Bending. Materials. 2020; 13(10):2225. https://doi.org/10.3390/ma13102225
Chicago/Turabian StyleYang, In-Hwan, Jihun Park, The Quang Bui, Kyoung-Chul Kim, Changbin Joh, and Hyungbae Lee. 2020. "An Experimental Study on the Ductility and Flexural Toughness of Ultrahigh-Performance Concrete Beams Subjected to Bending" Materials 13, no. 10: 2225. https://doi.org/10.3390/ma13102225
APA StyleYang, I.-H., Park, J., Bui, T. Q., Kim, K.-C., Joh, C., & Lee, H. (2020). An Experimental Study on the Ductility and Flexural Toughness of Ultrahigh-Performance Concrete Beams Subjected to Bending. Materials, 13(10), 2225. https://doi.org/10.3390/ma13102225