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Improving mixed-mode fracture properties of concrete reinforced with macrosynthetic plastic fibers: an experimental and numerical investigation.
1. Introduction
2. dataset materials and specimen preparation, 3. fracture modeling, 4. verification of numerical models, 4.1. shape form factor, 4.2. production of mesh fragmentation, 4.3. result of verification, 5. parametric study, 5.1. effect of mspf on the behavior of concrete in mode i fracture, 5.2. effect of fibers on the behavior of concrete in mode i and mode ii fractures, 5.3. investigation of fracture parameters under a combination of fracture modes, 6. conclusions.
- Effective stress intensity factor ( K eff ) was crucial for understanding the materialâs response to mixed-mode fractures.
- As M e approaches zero and shear deformation becomes dominant, the resistance to mixed-mode fractures decreases.
- Adding macrosynthetic fibers significantly boosts mixed-mode fracture toughness, especially in mixed-mode I/II conditions (0.5 < M e < 0.9).
- There was an approximately 400% increase in mixed-mode fracture toughness with fiber content ( Ï eff = 1 signifies no fiber content).
- Optimal fiber content for enhancing concrete durability is around 4%; beyond this percentage, the increase in energy absorption plateaus due to diminished bond strength between fibers and cement mortar.
- A standardized method for presenting mixed-mode outcomes was developed, comparing stress intensity factors ( K II and K IIC ) with ( K I and K IC ).
- A power law criterion was established with specific values for p and q that align with numerical data on fractures.
7. Future Research
- Further exploration of the optimal distribution and fiber content for specific construction scenarios.
- Deeper understanding of the complex interactions between fibers and the cement matrix in concrete.
Author Contributions
Data availability statement, conflicts of interest, abbreviations.
SCB | Semicircular bend |
CMOD | Crack mouth opening displacement |
XFEM | Extended finite element method |
EFEM | Energy finite element method |
ITZ | Interfacial transition zone |
CZM | Cohesive zone model |
MFI | Fiberâmatrix interface |
MMI SF | Matrixâmatrix interface Synthetic fibers |
FVF | Fiber volume fraction |
MSPF | Macrosynthetic plastic fibers |
|
d | Maximum aggregate size |
d | Median aggregate size |
E | Modulus of elasticity |
S | Slip at first crack |
S | Slip at ultimate strength |
S | Distance between ribs |
α | Alpha coefficient |
Ï | Ultimate bond stress |
Ï | Final bond stress |
a/R | Ratio of crack length to radius |
S /R | Slip at first crack to radius ratio |
S /R | Slip at ultimate strength to radius ratio |
E | Youngâs modulus of homogeneous concrete |
E | Youngâs modulus of cement matrix |
V | Volume of aggregate |
E | Youngâs modulus of aggregate grains |
G | Shear modulus of cement matrix |
Ï
| Poissonâs ratio |
fâ | Compressive strength |
f | Tensile strength |
f | Yield strength |
K | Effective stress intensity factor |
ÎĄ | Mixed-mode fracture toughness |
K | Stress intensity factor for mode I |
K | Stress intensity factor for mode II |
K | Critical fracture toughness for mode I |
K | Critical fracture toughness for mode II |
p, q | Parameters in fracture criterion equation |
G | Fracture energy for mode I |
G | Fracture energy for mode II |
M | Mode mixity parameter |
g | Energy dissipated per unit volume |
g | Energy dissipated per unit area (fracture toughness) |
L | Characteristic length of the element |
A | Element area |
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Click here to enlarge figure
Component | Modulus of Elasticity | Poissonâs Ratio | Compressive Strength | Mean Tensile Strength |
---|
Concrete | 30.60 Gpa | 0.23 | 35.10 Mpa | 3.16 Mpa |
Mortar | 25.00 Gpa | 0.21 | 25.60 Mpa | 3.25 Mpa |
Aggregate | 42.00 Gpa | 0.20 | 93.00 Mpa | 11.00 Mpa |
Fiber | 5.30 Gpa | 0.36 | - | 310.00 Mpa |
Sample | Number of Samples Constructed |
---|
Cylindrical | 3 |
SCB (without fibers) | 2 |
SCB (with 1.5% FVF) | 2 |
Solid Elements |
---|
| Aggregate | Cement Matrix | Fibers |
---|
E (GPa) | 42.00 | 25.00 | 5.30 |
Ï
| 0.20 | 0.21 | 0.36 |
fâ (MPa) | 93.00 | 25.60 | - |
f (MPa) | 11.00 | 3.25 | - |
f (MPa) | - | - | 310 |
Cohesive Element |
| MFI | ITZ | MMI |
K , K | 10 | 10 | 10 |
f (MPa) | 3.16 | 1.58 | - |
G (N/mm) | 0.04 | 0.02 | - |
S | - | - | 1 mm |
S | | | 3 mm |
S | | | 5 mm |
α | | | 0.4 |
Ï (MPa) | | | 14.80 |
Ï (MPa) | | | 5.91 |
| 0% | 0.5% | 1.5% | 2.5% | 3% | 4% |
---|
M | K | K | K | K | K | K | K | K | K | K | K | K | K | K | K | K | K | K |
---|
1 | 49 | 0 | 49 | 76 | 0 | 76 | 162 | 0 | 171 | 225 | 0 | 225 | 256 | 0 | 272 | 282 | 0 | 300 |
0.9 | 46 | 7 | 47 | 72 | 11 | 72 | 155 | 25 | 157 | 218 | 35 | 221 | 247 | 39 | 250 | 271 | 43 | 274 |
0.8 | 40 | 13 | 42 | 65 | 21 | 68 | 139 | 45 | 146 | 191 | 62 | 201 | 221 | 72 | 232 | 248 | 81 | 261 |
0.7 | 31 | 16 | 35 | 52 | 26 | 58 | 103 | 52 | 116 | 145 | 74 | 163 | 172 | 88 | 193 | 193 | 98 | 217 |
0.6 | 24 | 17 | 30 | 38 | 27 | 46 | 74 | 54 | 91 | 104 | 76 | 129 | 123 | 89 | 152 | 139 | 101 | 172 |
0.5 | 18 | 18 | 26 | 28 | 28 | 39 | 54 | 54 | 76 | 76 | 76 | 107 | 90 | 90 | 127 | 102 | 102 | 144 |
0.4 | 13 | 18 | 23 | 20 | 28 | 35 | 40 | 54 | 67 | 55 | 76 | 94 | 66 | 91 | 112 | 74 | 102 | 126 |
0.3 | 9 | 18 | 21 | 14 | 28 | 31 | 28 | 55 | 62 | 39 | 76 | 86 | 47 | 91 | 102 | 52 | 102 | 115 |
0.2 | 6 | 18 | 19 | 9 | 28 | 30 | 18 | 55 | 58 | 25 | 77 | 81 | 30 | 91 | 95 | 33 | 102 | 107 |
0.1 | 3 | 19 | 19 | 4 | 28 | 28 | 9 | 55 | 56 | 12 | 77 | 78 | 15 | 92 | 93 | 16 | 102 | 104 |
0.05 | 1 | 19 | 19 | 2 | 28 | 28 | 4 | 55 | 55 | 6 | 77 | 77 | 7 | 91 | 92 | 8 | 102 | 102 |
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Permanoon, A.; Pouraminian, M.; Khorami, N.; GanjiMorad, S.; Azarkhosh, H.; Sadrinejad, I.; Pourbakhshian, S. Improving Mixed-Mode Fracture Properties of Concrete Reinforced with Macrosynthetic Plastic Fibers: An Experimental and Numerical Investigation. Buildings 2024 , 14 , 2543. https://doi.org/10.3390/buildings14082543
Permanoon A, Pouraminian M, Khorami N, GanjiMorad S, Azarkhosh H, Sadrinejad I, Pourbakhshian S. Improving Mixed-Mode Fracture Properties of Concrete Reinforced with Macrosynthetic Plastic Fibers: An Experimental and Numerical Investigation. Buildings . 2024; 14(8):2543. https://doi.org/10.3390/buildings14082543
Permanoon, Ali, Majid Pouraminian, Nima Khorami, Sina GanjiMorad, Hojatallah Azarkhosh, Iman Sadrinejad, and Somayyeh Pourbakhshian. 2024. "Improving Mixed-Mode Fracture Properties of Concrete Reinforced with Macrosynthetic Plastic Fibers: An Experimental and Numerical Investigation" Buildings 14, no. 8: 2543. https://doi.org/10.3390/buildings14082543
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