Effect of fatigue load on damage and fracture properties of rubber concrete
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摘要: 虽然橡胶混凝土塑性和疲劳性能较好，但由于掺入橡胶，其在疲劳荷载下离散性增大，损伤过程及最终的断裂机制均不明确。为研究橡胶混凝土在疲劳荷载下的损伤和断裂性能，基于声发射开展了不同橡胶掺量的混凝土在疲劳荷载下的三点弯曲疲劳断裂试验。计算有效裂缝长度，分析疲劳荷载下不同橡胶掺量的混凝土裂缝长度a的变化规律，并利用裂缝长度a和声发射累积能量EAE分别定义了损伤变量Da和DAE；分析疲劳荷载下不同橡胶掺量的混凝土断裂能GF的变化规律；利用声发射中的信号持续时间分析疲劳荷载下橡胶混凝土中裂缝出现和扩展的规律。结果表明，混凝土的断裂能随橡胶掺量的增加呈线性增加；在疲劳荷载下，裂缝长度a和Da均呈倒S型规律变化，而DAE呈正S型规律变化；声发射信号持续时间表明，在疲劳荷载下，橡胶混凝土中的裂缝总在荷载较小时出现或发生扩展。Abstract: Although rubber concrete has better properties of plasticity and fatigue, due to the incorporation of rubber, its dispersion increases under fatigue load and the damage process and the ultimate fracture mechanism are not clear. In order to study the damage and fracture performance of rubber concrete under fatigue load, the three-point bending fatigue fracture test of concrete with different rubber contents under fatigue load based on acoustic emission was carried out. The effective crack length a was calculated and the change law of the crack length a of the rubber concrete with different rubber contents under the fatigue load was analyzed. The crack length ac and the acoustic emission cumulative energy EAE were used to define the damage variables Da and DAE.The variation law of the fracture energy GF of the rubber concrete with different rubber contents under the fatigue load and the law of the occurrence and propagation of cracks in the rubber concrete under the fatigue load were analyzed using the signal duration in the acoustic emission. The results show that the fracture energy of the concrete increases linearly with the increase of the rubber content. Under the fatigue load, both a and Da change in an inverted S-shaped law, while DAE shows a positive S-shaped law; The duration of the acoustic emission signal shows that the cracks in the rubber concrete always appear or expand when the load is small under the fatigue load.
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Key words:
- rubber concrete /
- fatigue /
- damage variable /
- maximum crack length /
- acoustic emission cumulative energy
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图 2 不同橡胶含量的橡胶混凝土的荷载-挠度曲线
Figure 2. Force-displacement curves of rubber concrete with different rubber contents
图 3 不同橡胶含量的橡胶混凝土的荷载-裂缝口张开位移曲线
Figure 3. Force-crack mouth opening displacement curves of rubber concrete with different rubber contents
图 4 不同橡胶含量的橡胶混凝土裂缝长度-时间曲线
Figure 4. Crack length-time curves of rubber concrete with different rubber contents
图 5 不同橡胶含量的橡胶混凝土损伤变量-时间曲线
Figure 5. Damage variable-time curves of rubber concrete with different rubber contents
图 6 疲劳荷载下不同橡胶掺量的橡胶混凝土的荷载-挠度曲线
Figure 6. Force-displacement curves of rubber concrete with different rubber contents under fatigue load
图 7 不同橡胶掺量的橡胶混凝土的断裂能-时间曲线
Figure 7. Fracture energy-time curves of rubber concrete with different rubber contents
图 8 橡胶混凝土的声发射累积能量-橡胶掺量曲线
Figure 8. Acoustic emission cultivate energy-rubber content curves of rubber concrete
图 9 不同橡胶掺量的橡胶混凝土荷载-时间及持续时间-时间曲线
Figure 9. Load-time and duration-time curves of rubber concrete with different rubber contents
表 1 橡胶混凝土配比
Table 1. Mix proportion of rubber concrete
Sample Cement/kg Fly ash/kg SiC powder of high purity/kg Gravel/kg Fine aggregate/kg Water/kg Water reducer/kg Sand Rubber RC0 20.56 7.44 1.38 42.64 54.32 0 10.64 0.4 RC10 20.56 7.44 1.38 42.64 48.80 5.44 10.64 0.4 RC20 20.56 7.44 1.38 42.64 43.44 10.88 10.64 0.4 
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表 2 不同橡胶含量的橡胶混凝土三点弯曲试验结果
Table 2. Three point bending test results of rubber concrete with different rubber contents
Rubber content Pmax/kN fmax/MPa E/GPa 0wt% 6.932 3.12 38.81 7.301 3.29 50.00 7.160 3.22 48.01 Average 7.131 3.21 45.60 Standard deviation 0.152 0.07 4.87 10wt% 6.084 2.74 30.22 5.723 2.58 39.00 5.780 2.60 42.24 Average 5.862 2.63 37.15 Standard deviation 0.158 0.07 5.08 20wt% 4.889 2.20 24.81 4.556 2.05 27.50 4.965 2.23 30.98 Average 4.803 2.16 27.76 Standard deviation 0.178 0.08 2.53 Notes: Pmax—Maximum load that specimen can bear; fmax—Bending strength; E—Elastic modulus.
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表 3 不同橡胶含量的橡胶混凝土三点弯曲疲劳试验结果
Table 3. Three point bending fatigue test results of rubber concrete with different rubber contents
Sample Specimen number Fatigue life N Fracture energy Gf/(kN·m−1) Acoustic emission cultivate energy GAE RC0 1 130 1.73 25491 2 104 0.94 28783 3 71 0.71 28581 Average 102 1.13 27618 Standard deviation 24 0.43 1507 RC10 1 130 1.03 20118 2 23 0.38 40939 3 1188 6.92 27581 4 342 2.61 40496 5 2041 8.85 1841 6 8470 44.10 16849 Average 2033 10.65 24637 Standard deviation 2963 17.09 13703 RC20 1 4354 22.68 42850 2 16557 87.16 70 3 75 0.66 32093 4 9730 46.55 1026 5 728 4.55 28030 6 1820 11.34 21952 Average 5544 28.82 21003 Standard deviation 5876 26.62 15747
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