Journal of Jilin University(Engineering and Technology Edition) ›› 2019, Vol. 49 ›› Issue (6): 1900-1910.doi: 10.13229/j.cnki.jdxbgxb20180729

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Loading rate effect of meso⁃damage characteristics of crumb rubber concrete

Sheng-tong DI1,2,3(),Chao JIA2(),Wei-guo QIAO3,4,Kang LI1,2,Kai TONG1,2   

  1. 1. School of Civil Engineering, Shandong University, Jinan 250061, China
    2. Institute of Marine Science and Technology, Shandong University, Qingdao 266237, China
    3. Key Laboratory of Disaster Prevention and Reduction of Civil Engineering, Qingdao 266590, China
    4. School of Civil Engineering and Architecture, Shandong University of Science and Technology, Qingdao 266590, China
  • Received:2018-07-11 Online:2019-11-01 Published:2019-11-08
  • Contact: Chao JIA E-mail:dishengtong@163.com;jiachao@sdu.edu.cn

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Abstract:

Based on the particle discrete element theory, five loading rates corresponding to different levels of strain rate were selected in this paper, and the corresponding loading rates were 0.001 m/s, 0.01 m/s, 0.1 m/s, 1.0 m/s and 3.0 m/s. The uniaxial compressive strength test of normal concrete (NC) and crumb rubber concrete (CRC) was simulated, and the effect of loading rate on the constitutive relation, crack propagation, meso-damage and energy evolution was systematically analyzed. The results show that the uniaxial compressive strength and the corresponding peak strain of the material present a nonlinear growth relationship with the increase of the loading rate. The loading rate sensitivity of CRC is more obvious than that of NC. There is a negative correlation between loading rate and NC crack generation rate, but a positive correlation between loading rate and CRC crack generation rate. The fitting equations between the mesoscopic damage variables and the loading rates of the two materials are proposed, and the fitting result is good, and the effects of different loading rates on the evolution law of elastic strain energy and kinetic energy of materials are analyzed.

Key words: road engineering, crumb rubber concrete, meso-damage, particle discrete element, loading rate, crack propagation

CLC Number: 

  • TU528

Fig.1

Mesoscopic contact model of PBM"

Fig.2

Failure criterion of the PBM"

Fig.3

Schematic diagram of the numerical model of different rubber content"

Table 1

Mechamical parameters and PFC results"

分组 压缩强度/MPa 峰值应变/% 弹性模量/GPa 泊松比
NC 实验值 38.58 0.797 5.81 0.215
模拟值 38.45 0.816 5.72 0.211
CRC，40%Rubber 实验值 1.15 1.63 0.065 0.326
模拟值 1.097 1.57 0.069 0.332

Fig.4

Tigure of laboratory test (left) and numerical simulation (right) of fracture morphology"

Fig.5

Comparison diagram between laboratory test and numerical simulation of constitutive curve of samples"

Table 2

Meso-mechanical parameters of the CRC"

细观参数 砂粒 橡胶
最小粒径尺寸/mm 0.8 1.2
粒径尺寸比 1.66 1.66
密度/（kg·m?3） 2600 1200
法向刚度/（N·m） 1.2×108 1.1×105
刚度比 1.2 1.1
摩擦因数 0.42 0.98
平行粘结弹性模量/GPa 1.72 0.102
平行粘结刚度比 1.0 1.0
平行粘结抗拉强度/MPa 65.1 6.52
平行粘结粘聚力/MPa 34.0 1.35
平行粘结内摩擦角/（°） 9 0

Fig.6

Comparison verification of microstructure model and parameters of CRC"

Fig.7

Stress-strain curves of uniaxial compression test at different loading rates"

Fig.8

Relation of compressive strength, peak strain and loading rate"

Fig.9

Microcracks generation and extension evolution law"

Fig.10

Relationship between microcracks initiation and number with loading rate"

Fig.11

Distribution of microcracks propagation under different loading rate"

Table 3

Statistics for the damage variable and dissipation energy at peak intensity"

加载速率/（m·s-1） 边界输入能/J 耗散能/J 耗散能比率/% 损伤变量
NC CRC NC CRC NC CRC NC CRC
0.001 35.7 10.30 8.63 4.06 24.2 39.4 0.028 0.28
0.01 36.0 9.71 8.83 3.77 24.5 38.8 0.029 0.27
0.1 36.4 11.60 8.89 4.84 24.4 41.7 0.030 0.30
1.0 39.0 14.20 10.35 6.51 26.5 45.8 0.034 0.36
3.0 43.4 17.10 12.93 8.32 29.8 48.7 0.037 0.39

Fig.12

Fitting curve of damage variable and loading rate"

Fig.13

Elastic energy and kinetic energy evolution at different loading rates"

Fig.14

Relation curve of energy and loading rate at peak intensity"

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