Acta Physica Sinica, Volume. 69, Issue 16, 164501-1(2020)

Sliding and accumulation characteristics of loose materials and its influencing factors based on discrete element method

Hao Cheng1... Pei-Feng Han1,2,* and You-Wen Su1 |Show fewer author(s)
Author Affiliations
  • 1School of Civil Engineering and Architecture, Southwest University of Science and Technology, Mianyang 621010, China
  • 2Research Center on Mountain Torrent and Geologic Disaster Prevention, Ministry of Water Resources, Wuhan 430010, China
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    Figures & Tables(29)
    Granular computing iteration diagram: (a) Relationship between force and displacement; (b) theoretical computing.
    The forces by particles interacting.
    Diagram of normal force of granular: (a) Normal overlap; (b) position relations.
    Diagram of sliding accumulation model of loose accumulation body: (a) Three-dimensional numerical model; (b) side of view; (c) vertical view.
    Diagram large sample of single particle: (a) – Z of view; (b) +Y of view.
    Comparison of cumulative volume between experiment results[30] and DEM simulation results of granular after sliding.
    Loose materials the whole process of sliding accumulation(+X view): (a) t = 400 ms; (b) t = 600 ms; (c) t = 860 ms; (d) t = 1 000 ms; (e) t = 1 200 ms; (f) t = 2 000 ms; (g) accumulation process changes shape.
    The final diagram of plane accumulation form.
    Influence of stone content on the accumulation form: (a) Stroke; (b) accumulation width; (c) maximum thickness; (d) accumulation area.
    Static accumulation angle boundary contour acquire.
    Schematic diagram of volume calculation of accumulation area.
    Influence of different stone contents on the accumulation volume at a slope of 65°.
    Influence of slope on the accumulation form: (a) Stroke; (b) accumulation width; (c) maximum thickness; (d) accumulation area.
    Plane accumulation morphology under different slope: (a) Stone content 0%; (b) stone content 30%; (c) stone content 50%; (d) stone content 70%.
    The results of the sliding accumulation simulation of stone content 50% loose granular with different slopes: (a) 30°; (b) 45°; (c) 65°.
    Influence of different slope of 50% stone content on the accumulation volume.
    The volume comparison of granular with different slopes with 50% stone content: (a) 30°; (b) 45°; (c) 65°.
    Influence of different stone contents on cumulative mass at slope of 65°.
    Influence of different slope on cumulative mass at stone content of 50%.
    The cumulative mass comparison of granular with different slopes with 50% stone content: (a) 30°; (b) 45°; (c) 65°.
    Granular average kinetic energy distribution characteristics: (a)Translational kinetic energy; (b) rotational kinetic energy.
    Time-history curve of average normal contact force between granulars: (a) x direction; (b) y direction; (c) z direction.
    Time-history curve of average tangential contact force between granulars: (a) x direction; (b) y direction; (c) z direction.
    Time-history curve of average contact force overlap between granulars: (a) Normal; (b) tangential.
    Probability density functions (PDF) of average normal contact force between granulars: (a) x direction; (b) y direction; (c) z direction.
    • Table 1.

      Main computational parameters of discrete element simulation for loose granular accumulation.

      松散颗粒堆积离散元模拟的主要计算参数

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      Table 1.

      Main computational parameters of discrete element simulation for loose granular accumulation.

      松散颗粒堆积离散元模拟的主要计算参数

      参数符号单位数值参数符号单位数值
      细颗粒基础球粒径dmm4.00静摩擦系数μps0.44
      粗颗粒基础球粒径dmm14.00滚动摩擦系数μpr0.05
      颗粒密度ρkg/m32100.00堆积体质量Mkg30.00
      剪切模量EMPa1000.00时间步长dts6.26616 × 10–5
      泊松比v0.26滑槽尺寸L × W × Hmm1800 × 350 × 300
      恢复系数e0.40底板尺寸L × W × Hmm3000 × 2000 × 10
      摩擦系数μpp0.42料箱尺寸l × w × hmm400 × 350 × 200
    • Table 2.

      Measured value of static accumulation angle under different computing conditions.

      不同计算条件下静堆积角测量值

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      Table 2.

      Measured value of static accumulation angle under different computing conditions.

      不同计算条件下静堆积角测量值

      计算条件+X方向γ /(°) -X方向γ /(°) 均值γ /(°)
      30° 0%13.5813.4613.52
      30° 30%12.9413.1313.40
      30° 50%12.4813.3212.90
      30° 70%12.0311.2711.65
      45° 0%8.258.218.23
      45° 30%6.857.317.08
      45° 50%7.286.927.10
      45° 70%7.787.247.51
      65° 0%4.174.282.23
      65° 30%4.254.592.42
      65° 50%4.264.892.58
      65° 70%4.964.742.85
    • Table 3.

      Average kinetic energy and contact force of granular in the process of sliding accumulation.

      滑动堆积过程中颗粒的平均动能和接触力均值

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      Table 3.

      Average kinetic energy and contact force of granular in the process of sliding accumulation.

      滑动堆积过程中颗粒的平均动能和接触力均值

      参量细颗粒粗颗粒细颗粒与粗颗粒
      平均平动动能Et/10–4 J 2.41169.28
      平均转动动能Er/10–7 J 4.6626.03
      平均法向力Fn/10–6 N 19.04155.3731.77
      平均切向力Ft/10–3 N 6.8455.3711.36
      平均法向重叠量/ 10–2 mm 4.0110.134.77
      平均切向重叠量/ 10–2 mm 1.052.871.27
    • Table 4.

      Summary table of simulation results.

      模拟结果汇总表

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      Table 4.

      Summary table of simulation results.

      模拟结果汇总表

      模拟变量模拟结果
      冲程堆积宽度最大厚度堆积面积累积质量静堆积角
      注: 1. 表中所考虑的均是模拟变量数值增大对模拟结果的影响; 其中, 含石量σ (%)的取值分别为0, 30, 50, 70; 坡度θ (°)的取值分别为30, 45, 65. 2. “↗”表示模拟结果持续增大, “↘”表示模拟结果持续减小; “↗ ↘”表示模拟结果先增大后持续减小, “↘ ↗”表示模拟结果先减小后持续增大, “↗ ↗”表示模拟结果增大明显, “↘ ↘”表示模拟结果减小明显, “↘(较小)”表示模拟结果小幅度减小, “↗(较小)”表示模拟结果小幅度增大.
      含石量↗↘↗↘↘↗↗↘↘(较小)↘(较小)或↗(较小)
      坡度↗↗↗↗↗↗↘↘
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    Hao Cheng, Pei-Feng Han, You-Wen Su. Sliding and accumulation characteristics of loose materials and its influencing factors based on discrete element method[J]. Acta Physica Sinica, 2020, 69(16): 164501-1

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    Paper Information

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    Received: Feb. 14, 2020

    Accepted: --

    Published Online: Jan. 4, 2021

    The Author Email:

    DOI:10.7498/aps.69.20200223

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