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Gold Science and Technology ›› 2023, Vol. 31 ›› Issue (4): 580-591.doi: 10.11872/j.issn.1005-2518.2023.04.175

• Mining Technology and Mine Management • Previous Articles     Next Articles

Particle Flow Simulation Study on the Propagation Law of Stress Wave at Nonlinear Deformation Joints

Weihua WANG1(),Ruixin HUANG1(),Jie LUO2   

  1. 1.School of Resources and Safety Engineering, Central South University, Changsha 410083, Hunan, China
    2.Beijing Capital International Airport Co. , Ltd. , Beijing 100621, China
  • Received:2022-11-16 Revised:2023-05-04 Online:2023-08-30 Published:2023-09-20
  • Contact: Ruixin HUANG E-mail:50973993@qq.com;1468497338@qq.com

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Abstract:

Rock joints have significant influence on the propagation of stress waves in jointed rock mass.Study on the propagation law of stress waves in jointed rock mass is of great practical significance and theoretical value for rock blasting，earthquake engineering and explosion protection.The code was written by FISH language to modify the normal stiffness of micro-joints in the smooth joint model，and a particle flow model of rock joints with nonlinear deformation characteristics was established.The propagation characteristics of stress waves across single nonlinear deformed joints were analyzed，and the influence laws of joint stiffness，stress wave amplitude and stress wave frequency on the transmission and reflection coefficients were obtained.The interaction mechanism between stress wave and joint was revealed from microscopic perspective.The results show that the joint equivalent stiffness has a great influence on transmission and reflection coefficients of the stress wave.The larger the equivalent stiffness is，the larger the transmission coefficient is，and the smaller the reflection coefficient is.When the joint stiffness reaches a certain critical value，the transmission coefficient increases slowly and tends to a constant value.With the increase of the amplitude of incident wave，the transmission coefficient is increasing and reflection coefficient is decreasing.The stress wave transmission coefficient decreases with the increase of incident wave frequency，and the joint shows high frequency filtering.

Key words: nonlinear deformation joint, particle flow simulation, stress wave propagation, transmission and reflection coefficient

CLC Number: 

  • TU455

Table 1

Mesoscopic parameters of intact rock specimens model"

线性组及颗粒参数数值平行黏结组参数数值
E*/GPa30.00E˙*/GPa30.00
k*1.59k˙*1.59
μ0.50σ˙c/MPa68.10
rmin/mm0.25c˙/MPa68.10
rmax/mm0.42φ˙/（°）0
ρ/（kg·m-3）3 150

Fig.1

Comparison of specimen failure mode"

Fig.2

Comparison of stress-strain curves between numerical simulation and laboratory test"

Fig.3

Flow chart of the procedure for realizing nonlinear deformation joint model"

Fig.4

Particle flow model of rock joint"

Fig.5

Joint normal closure test curves"

Fig.6

Particle flow model of jointed rock rod"

Table 2

Equivalent stiffness and transmission coefficient"

细观初始刚度/（GPa·m-1）模拟等效刚度/（GPa·m-1）理论等效刚度/（GPa·m-1）透射系数反射系数
10269.87257.080.5860.810
60365.21383.070.7330.681
100391.98433.150.7730.634
200642.59642.520.8750.483
300858.11840.450.9210.389
4001 161.031 027.120.9450.327
5001 481.771 172.770.9570.291

Fig.7

Velocity waveform（a） and stress waveform（b） for the initial microscopic stiffness of 100 GPa/m"

Fig.8

Velocity waveform（a） and stress waveform（b） for the initial microscopic stiffness of 200 GPa/m"

Fig.9

Velocity waveforms（a） and stress waveforms（b） when the initial microscopic stiffness is 300 GPa/m"

Fig.10

Comparison of transmission and reflection coefficient simulation and theoretical results under different equivalent stiffness"

Fig.11

Velocity waveform（a） and stress waveform（b） of incident wave amplitude 1 m/s"

Fig.12

Velocity waveform（a） and stress waveform（b） of incident wave amplitude 5 m/s"

Fig.13

Variation curves of transmission and reflection coefficients with different wave amplitudes"

Fig.14

Variation diagram of particle force chain on joint surface"

Fig.15

Variation curves of contact number of particles on joint surface with different wave amplitudes"

Fig.16

Velocity waveform（a） and stress waveform（b） with wave frequency of 5 kHz"

Fig.17

Velocity waveform（a） and stress waveform（b） with wave frequency of 10 kHz"

Fig.18

Velocity waveform（a） and stress waveform（b） with wave frequency of 20 kHz"

Fig.19

Variation curves of transmission coefficient under different stress wave frequencies"

Fig.20

Variation curves of contact number of particles on joint surface under different stress wave frequencies"

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[1] Weihua WANG,Jie LUO,Tian LIU,Zhenyu HAN. Particle Flow Simulation on Influence of Joint Roughness Coefficient on Stress Wave Propagation and Specimens Failure [J]. Gold Science and Technology, 2021, 29(2): 208-217.
[2] WANG Haibo, WEI Guoli, ZONG Qi, XU Ying. Numerical Simulation and Application Research on Joint Development Rock Roadway Blasting Excavation [J]. Gold Science and Technology, 2018, 26(3): 342-348.
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