Flexural Behavior of Self-Compacting PVA-SHCC Bridge Deck Link Slabs
Abstract
:1. Introduction
2. Materials and Methods
2.1. Mechanical Properties of PVA-SHCC
2.1.1. Materials
2.1.2. Tensile Properties
2.1.3. Flexural Behavior
2.2. Design of Composite Models
2.2.1. Similarity Design
2.2.2. Design of Composite Models
2.3. Experimental Investigation
2.3.1. Test Setup
2.3.2. Test Procedures
3. Results and Discussions
3.1. Load–Deflection Relationships
3.2. Ductility
3.3. Cracking and Ultimate Loads
3.4. Cracks and Failure Modes
3.5. Cracking Characteristics of Jointless Link Slabs
3.5.1. Descriptions of Cracks
3.5.2. Width and Depth of Cracks
3.5.3. Fractal Characteristics of Cracks
3.5.4. Relationships between Df and Bending Behavior
3.6. Distribution of Strain
4. Finite Element Analysis
4.1. Finite Element Models
4.2. Convergence Study
4.3. Comparisons between the Experimental and Modeling Results
4.4. Distributions of Stress and Strain in Beams
4.5. Distributions of Strain in Link Slabs
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Density (g/cm3) | Diameter (μm) | Length (mm) | Strength (MPa) | Elasticity Modulus (GPa) | Elongation (%) |
---|---|---|---|---|---|
1.3 | 40 | 12 | 1560 | 41 | 6.5 |
No. | Sand | Cement | Fly Ash | Water | Water Reducer | PVA | Cellulose |
---|---|---|---|---|---|---|---|
1 | 525.6 | 477.6 | 716.4 | 417.9 | 4.8 | 0 (0%) | 0.333 |
2 | 520.3 | 472.8 | 709.3 | 404.2 | 11.8 | 13 (1%) | 0.333 |
3 | 517.7 | 470.4 | 705.7 | 411.6 | 16.5 | 19.5 (1.5%) | 0.333 |
4 | 515.1 | 468.1 | 702.1 | 396.4 | 16.4 | 26 (2%) | 0.333 |
Volume Addition Rates (%) | Ultimate Tensile Stress (MPa) | Yield Strain (%) | Ultimate Tensile Strain (%) | Ductility (μ = εu/εy) |
---|---|---|---|---|
0 | 0.623 | 0.051 | 0.095 | 1.86 |
1 | 1.108 | 0.083 | 0.913 | 11.02 |
1.5 | 1.201 | 0.112 | 2.596 | 23.18 |
2 | 1.359 | 0.102 | 2.431 | 23.76 |
Items | Deflection (mm) | Quantity of Cracks | Max Width of Cracks (μm) | Ductility (μ = εu/εy) | |
---|---|---|---|---|---|
Vol. (%) | |||||
1.0 | 4.6 | 14 | 98 | 10.15 | |
1.5 | 5.0 | 17 | 105 | 14.32 | |
2.0 | 5.3 | 19 | 102 | 15.60 |
Types | Physical Quantity | Affinity Constants | Types | Physical Quantity | Affinity Constants |
---|---|---|---|---|---|
Physical | σ | 1 | Geometrical | l | 1/5 |
ε | 1 | x | 1/5 | ||
E | 1 | θ | 1 | ||
ν | 1 | A | 1/25 | ||
Boundary condition | f | 5 | W | 1/125 | |
P | 1/25 | I | 1/625 | ||
M | 1/125 | k | 1/5 | ||
J | 1/125 |
Cement (kg/m3) | Sand (kg/m3) | Stone (kg/m3) | Water (kg/m3) | Fly Ash (kg/m3) | Water Reducer (kg/m3) | W/C | W/B |
---|---|---|---|---|---|---|---|
450 | 678 | 1040 | 159 | 60.0 | 12.8 | 0.353 | 0.304 |
Series | No. | Materials of Decks | Curing Age (Days) |
---|---|---|---|
C | C-1 | Concrete | 7 |
C-2 | 56 | ||
M | M-1 | Cement mortar | 7 |
M-2 | 56 | ||
S | S-1 | Self-compacting PVA-SHCC | 7 |
S-2 | 56 |
No. | Cracking Load (kN) | Ultimate Capacity (kN) | Ductility (μ = Δu/Δy) |
---|---|---|---|
C-1 | 20 | 71.4 | 1.26 |
C-2 | 15 | 81.7 | 1.51 |
M-1 | 17 | 64.3 | 1.74 |
M-2 | 10 | 91.1 | 1.60 |
S-1 | 17 | 73.8 | 1.69 |
S-2 | 15 | 92.2 | 1.83 |
No. | Materials | Quantities of Cracks | Width of Major Crack (mm) | Average Width of Cracks (mm) | Average Distance of Cracks (mm) | Ultimate Depth of Cracks (mm) | Df |
---|---|---|---|---|---|---|---|
C-1 | Concrete | 1 | 0.32 | 0.320 | - | 33.1 | 1.028 |
C-2 | Concrete | 1 | 0.38 | 0.380 | - | 30.5 | 1.060 |
M-1 | Cement mortar | 5 | 0.18 | 0.145 | - | 31.3 | 1.062 |
M-2 | Cement mortar | 2 | 0.22 | 0.160 | - | 23.6 | 1.036 |
S-1 | PVA-SHCC | 7 | 0.12 | 0.087 | 1.360 | 28.0 | 1.035 |
S-2 | PVA-SHCC | 9 | 0.14 | 0.105 | 1.473 | 25.5 | 1.087 |
No. | Materials of Decks | Cracking Load (kN) | Cracking Strain (10−3) |
---|---|---|---|
C-1 | Concrete | 14.70 | 0.715 |
M-1 | Cement mortar | 16.63 | 0.931 |
S-1 | Self-compacting PVA-SHCC | 38.34 | 8.963 |
Materials | Density (kg·m−3) | Elasticity Modulus (GPa) | Poisson’s Ratio | Yield Stress (MPa) | Plastic Strain (%) | Ultimate Tensile Stress (MPa) | Ultimate Tensile Strain (%) |
---|---|---|---|---|---|---|---|
Concrete | 2400 | 32.5 | 0.2 | N.A. | N.A. | 1.150 | 0.010 |
Reinforcing steel | 7800 | 210 | 0.3 | 300 | 0 | N.A. | N.A. |
PVA-SHCC | 1900 | 21.0 | 0.25 | N.A. | N.A. | 1.201 | 2.596 |
No. of Elements | Ultimate Load (kN) | Ultimate Deflection (mm) |
---|---|---|
2184 | 52.02 | 9.16 |
4294 | 72.08 | 13.73 |
6980 | 70.05 | 13.96 |
9832 | 69.76 | 14.07 |
12,766 | 69.47 | 14.11 |
Materials | Ultimate Principal Stress (MPa) | Ultimate Plastic Strain (%) |
---|---|---|
PVA-SHCC | 3.187 | 2.32 |
Concrete | 3.336 | 0.098 |
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Luan, H.; Fan, Y.; Wang, Y. Flexural Behavior of Self-Compacting PVA-SHCC Bridge Deck Link Slabs. Buildings 2024, 14, 2469. https://doi.org/10.3390/buildings14082469
Luan H, Fan Y, Wang Y. Flexural Behavior of Self-Compacting PVA-SHCC Bridge Deck Link Slabs. Buildings. 2024; 14(8):2469. https://doi.org/10.3390/buildings14082469
Chicago/Turabian StyleLuan, Haiyang, Yingfang Fan, and Yin Wang. 2024. "Flexural Behavior of Self-Compacting PVA-SHCC Bridge Deck Link Slabs" Buildings 14, no. 8: 2469. https://doi.org/10.3390/buildings14082469