Experimental study on the mechanical properties of polypropylene fiber-steel bar reinforced concrete pipe
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摘要: 顶管施工中钢筋/混凝土管节存在开裂现象,严重影响工程质量与后续营运。鉴于聚丙烯纤维具有改善混凝土抗拉、抗裂性能的作用,本文采用2种聚丙烯细纤维和1种聚丙烯粗纤维,设计了无纤维、单掺粗纤维及混掺三种尺度纤维的3组钢筋/混凝土管试件,进行了三点试验,对比分析管节的开裂破坏形态、荷载挠度曲线和开裂延性指标。并建立纤维混凝土管节三点试验的有限元模型,进一步探究聚丙烯纤维掺量对钢筋/混凝土管节受力性能的影响规律。结果表明,聚丙烯粗纤维可提高混凝土管的抗裂与承载能力,聚丙烯粗、细纤维的协同作用使管达到更高的使用和极限强度。相比无纤维管,混掺多尺度纤维提升管的使用强度和极限强度分别为28.7%和36.4%。此外,数值模拟合理地预测了纤维/混凝土管节的荷载挠度响应,并针对混凝土管节的极限强度值,得到单掺和混掺聚丙烯纤维时粗纤维的最佳掺量。Abstract: The cracking of reinforced concrete pipe during pipe jacking construction seriously affects the project quality and subsequent operation. In view of the role of polypropylene fiber in improving the crack resistance and tensile properties of concrete, this paper adopted two types of fine polypropylene fibers and one type of crude polypropylene fiber, designing 3 groups of reinforced concrete pipe specimens, which were reinforced with plain concrete, single-scale crude fiber and hybrid three-scale fibers. The three-edge-bearing test was carried out. The cracking failure patterns, load-deflection responses and ductility indexes after cracking of these pipes were comparatively analyzed. A finite element numerical model was developed for reproducing the three-edge-bearing test to investigate the influence law of polypropylene fiber content on the mechanical properties of reinforced concrete pipe. The results show that the crack resistance and load-bearing capacities of concrete pipe are improved by adding crude polypropylene fiber, and the higher service and ultimate strength of pipe are achieved under the synergistic action of fine and crude polypropylene fibers. Compared with the pipe without fiber, the hybrid multi-scale fibers increase the service and ultimate strength by 28.7% and 36.4%. In addition, using this numerical simulation method, the load-deflection responses of fiber reinforced concrete pipe can be reasonably predicted, and the optimum contents of crude fiber when incorporating single-scale and three-scale fibers are obtained, aiming to the higher ultimate strength of concrete pipe.
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图 10 聚丙烯纤维/混凝土单轴拉压应力-应变曲线
Figure 10. Uniaxial compressive and tensile stress-strain curves of polypropylene fiber/concrete
fc, ft—Compressive and tensile strength vaules of concrete; Ec—Elasticity modulus of concrete; αc, αt—Shape parameters of the falling section of the concrete compressive and tensile stress-strain curves; σc and σt—Compressive and tensile stress vaules of concrete; ε—Strain vaule of concrete; ρc, ρt, n and x—Intermediate parameters during the stress calculation process; εc and εt—Compressive and tensile peak strain vaules of concrete
表 1 不同尺度聚丙烯纤维的物理力学性能
Table 1. Physical and mechanical properties of polypropylene fibers of different scales
Fiber code Diameter/mm Length/mm Aspect ratio Tensile
strength/MPaElasticity
modulus/GPaDensity/
(kg·m−3)Recommended single
dosage/(kg·m−3)FPF1 0.026 19 730.8 641 8.5 0.91 0.9 FPF2 0.1 19 190 322 3.9 0.91 0.9 CPF 0.8 50 62.5 706 7.4 0.95 6.0 Notes: FPF1—Type of fine polypropylene fiber; FPF2—Another type of fine polypropylene fiber; CPF—Crude polypropylene fiber. 表 2 C50混凝土设计配合比
Table 2. Design mix ratio of C50 concrete
Material Cement Coarse aggregate Sand Water Water reducer 10-20 mm 5-10 mm Dosage/(kg·m−3) 375 545 545 850 135 3.75 表 3 试验各组不同尺度聚丙烯纤维的配比
Table 3. Proportions of polypropylene fibers of different scales in each specimen
kg·m−3 Pipe code Fine polypropylene fibers Crude polypropylene fiber Total content FPF1 FPF2 CPF S/C 0 0 0 0 CPF-S/C 0 0 6 6 FPF1-FPF2-CPF-S/C 0.6 0.6 4.8 6 Notes: S/C—Reinforced concrete pipe without fiber; CPF-S/C—Reinforced concrete pipe with crude polypropylene fiber; FPF1-FPF2-CPF-S/C—Reinforced concrete pipe with multi-scale polypropylene fibers. 表 4 基于ASTM C76[17]的钢筋/混凝土管节等级强度要求
Table 4. Grade strength requirements for reinforced concrete pipe based on ASTM C76[17]
Concrete pipe class D-load(DL)/(N·m−1·mm−1) D-load0.3(D0.3) D-loadu(Du) I 40 60 II 50 75 III 65 100 IV 100 150 V 140 175 Notes: D-load(DL)—Supporting load value of pipe; D-load0.3(D0.3)—Load value when crack width is 0.3 mm, namely service strength; D-loadu(Du)—Maximum load value, namely ultimate strength. 表 5 各钢筋/混凝土试验管节的使用强度与极限强度
Table 5. Service load and ultimate load of each reinforced concrete pipes
Pipe code DL/(N·m−1·mm−1) D0.3 Du S/C 126.7 216.4 CPF-S/C 164.8 270.7 FPF1-FPF2-CPF-S/C 171.4 278.5 表 6 钢筋/混凝土管节有限元模型单元类型与数量
Table 6. Number and types of the model elements of reinforced concrete pipe
Model part Element number Element type Concrete pipe 37 500 C3D8I Lower bearing strips 1 900 Upper bearing strip 600 Steel cage 5 390 T3D2 表 7 钢筋/混凝土管拉压力学性能指标
Table 7. Tensile and compressive mechanical properties indexes of reinforced concrete pipes
Pipe code λi+λj+λk Ec/MPa fc/MPa εc/10−6 αc ft/MPa εt/10−6 αt S/C 0+0+0 42 500 47.1 2 096 1.94 2.65 142 3 CPF-S/C 0+0+0.39 43 601 52.3 2 607.8 0.31 3.20 165.8 1.38 FPF1-FPF2-CPF-S/C 0.48+0.13+0.32 40 792 56.4 3 018.4 0.12 3.32 224.5 1.40 Note: λi , λj and λk—Eigenvalues of FPF1, FPF2 and CPF. 表 8 混凝土损伤塑性模型(CDP)模型的塑性参数取值
Table 8. Values of the concrete damaged plastic model (CDP) model plasticity parameters
CDP model plasticity parameter Value Dilatation angel Ψ/(°) 36 Flow potential eccentricity 0.1 fb0/fc0 1.16 Stress invariant ratio K 0.67 Viscosity parameter μ 0.0009-0.001 Note: fb0/fc0—Ratio of ultimate strength of biaxial compression to uniaxial compression. 表 9 钢筋/混凝土管SPC-40试验值与模拟值对比
Table 9. Comparison of SPC-40 between numerical simulation and laboratory test for reinforced concrete pipes
Pipe code Test value/
(N·m−2)Simulation
value/(N·m−2)Error/% S/C 31.2 33.6 7.7 CPF-S/C 37.3 38.7 3.8 FPF1-FPF2-CPF-S/C 40.4 40.9 1.4 表 10 单掺聚丙烯粗纤维各组钢筋/混凝土管的Du模拟值
Table 10. Du simulation value of each group of reinforced concrete with single-scale crude polypropylene fiber
Pipe code CPF content/
(kg·m−3)λk Ec/MPa fc/MPa εc/10−6 αc ft/MPa εt/10−6 αt Du/(N·m−1·mm−1) S/C 0 — 42 500 47.10 2 096.0 1.94 2.65 142.0 3.00 223.22 CPF-S/C-1 1.0 0.07 42 856 48.77 2 261.3 1.41 2.83 149.7 2.48 232.44 CPF-S/C-2 2.0 0.13 43 105 49.95 2 377.4 1.05 2.96 155.1 2.11 237.36 CPF-S/C-3 3.0 0.20 43 333 51.02 2 483.1 0.71 3.07 160.0 1.77 241.83 CPF-S/C-4 4.0 0.26 43 472 51.68 2 548.0 0.50 3.14 163.0 1.57 245.87 CPF-S/C-5 5.0 0.33 43 571 52.14 2 593.9 0.36 3.19 165.2 1.42 249.71 CPF-S/C 6.0 0.39 43 601 52.28 2 607.8 0.31 3.20 165.8 1.38 252.94 CPF-S/C-7 7.0 0.46 43 579 52.18 2 597.9 0.34 3.19 165.3 1.41 250.03 CPF-S/C-7.5 7.5 0.49 43 537 51.98 2 578.2 0.41 3.17 164.4 1.47 248.24 CPF-S/C-8 8.0 0.53 43 472 51.68 2 548.0 0.50 3.14 163.1 1.57 247.20 CPF-S/C-8.5 8.5 0.56 43 409 51.38 2 518.5 0.60 3.11 161.6 1.66 246.12 CPF-S/C-9.0 9.0 0.59 43 333 51.02 2 483.1 0.71 3.07 160.0 1.77 244.99 表 11 混掺多尺度聚丙烯纤维各组钢筋/混凝土管的Du值
Table 11. Du value of each group of reinforced concrete with multi-scale polypropylene fibers
Pipe code FPF1+FPF2+CPF content/(kg·m−3) λi+λj+λk Ec/MPa fc/MPa εc/10−6 αc ft/MPa εt/10−6 αt Du/(N·m−1·mm−1) CPF-S/C 0.0+0.0+6.0 0.00+0.00+0.39 43 600 52.28 2 607.8 0.31 3.20 165.8 1.38 252.94 FPF1-FPF2-CPF-S/C-5.8 0.1+0.1+5.8 0.08+0.02+0.38 44 519 49.60 2 692.2 0.22 3.30 176.3 1.50 255.54 FPF1-FPF2-CPF-S/C-5.6 0.2+0.2+5.6 0.16+0.04+0.37 44 816 48.23 2 770.7 0.16 3.37 186.6 1.58 258.44 FPF1-FPF2-CPF-S/C-5.4 0.3+0.3+5.4 0.24+0.06+0.36 44 543 48.16 2 843.4 0.12 3.40 196.6 1.61 262.78 FPF1-FPF2-CPF-S/C-5.2 0.4+0.4+5.2 0.32+0.08+0.34 43 821 49.96 2 912.0 0.12 3.40 206.0 1.59 265.45 FPF1-FPF2-CPF-S/C-5 0.5+0.5+5.0 0.40+0.10+0.33 42 631 52.65 2 973.6 0.14 3.37 215.4 1.54 263.47 FPF1-FPF2-CPF-S/C 0.6+0.6+4.8 0.48+0.13+0.32 40 792 56.43 3 018.4 0.12 3.32 224.5 1.40 262.75 FPF1-FPF2-CPF-S/C-4.6 0.7+0.7+4.6 0.56+0.15+0.30 39 076 63.10 3 072.8 0.21 3.23 232.8 1.27 259.01 FPF1-FPF2-CPF-S/C-4.4 0.8+0.8+4.4 0.64+0.17+0.29 36 880 70.14 3 118.3 0.29 3.11 241.4 1.11 253.01 FPF1-FPF2-CPF-S/C-4.2 0.9+0.9+4.2 0.72+0.19+0.28 34 478 78.50 3 157.8 0.40 2.97 249.8 0.94 251.45 -
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