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椭球颗粒体系剪切过程中自由体积的分布与演化

邹宇雄 马刚 李易奥 王頔 邱焕峰 周伟

邹宇雄, 马刚, 李易奥, 王頔, 邱焕峰, 周伟. 椭球颗粒体系剪切过程中自由体积的分布与演化. 力学学报, 2021, 53(9): 2374-2383 doi: 10.6052/0459-1879-21-255
引用本文: 邹宇雄, 马刚, 李易奥, 王頔, 邱焕峰, 周伟. 椭球颗粒体系剪切过程中自由体积的分布与演化. 力学学报, 2021, 53(9): 2374-2383 doi: 10.6052/0459-1879-21-255
Zou Yuxiong, Ma Gang, Li Yiao, Wang Di, Qiu Huanfeng, Zhou Wei. Distribution and evolution of free volume of ellipsoidal particle systems during shearing. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(9): 2374-2383 doi: 10.6052/0459-1879-21-255
Citation: Zou Yuxiong, Ma Gang, Li Yiao, Wang Di, Qiu Huanfeng, Zhou Wei. Distribution and evolution of free volume of ellipsoidal particle systems during shearing. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(9): 2374-2383 doi: 10.6052/0459-1879-21-255

椭球颗粒体系剪切过程中自由体积的分布与演化

doi: 10.6052/0459-1879-21-255
基金项目: 国家重点研发计划(2018YFC1508503), 国家杰出青年科学基金(51825905)和国家自然科学雅砻江联合基金(U1865204)资助项目
详细信息
    作者简介:

    马刚, 副教授, 主要研究方向: 高坝结构设计理论与筑坝颗粒材料力学性质. E-mail: magang630@whu.edu.cn

  • 中图分类号: TU43,TV641

DISTRIBUTION AND EVOLUTION OF FREE VOLUME OF ELLIPSOIDAL PARTICLE SYSTEMS DURING SHEARING

  • 摘要: 颗粒材料是一种复杂的多体相互作用体系, 由大量离散的颗粒和其周围的自由体积组成. 虽然颗粒的自由体积与颗粒材料的力学性能和变形特征的相关性已得到证实, 但是由于表征上的困难, 目前对非球形颗粒体系的局部自由体积的认识还不够充分. 本文采用连续离散耦合分析方法进行了不同主轴长度的椭球颗粒试样的三轴剪切数值模拟, 基于Set Voronoi算法对剪切过程中的颗粒试样进行了Voronoi元胞分割, 分析了颗粒试验在剪切过程中自由体积的统计分布特性和演化规律, 研究了颗粒形态对自由体积的影响. 剪切过程中Voronoi元胞的各向异性逐渐增强, 且各项异性增强程度随颗粒非球度的增加而增大, 表明非球颗粒在剪切过程中经历更加强烈的重排列. 具有不同非球度的椭球颗粒体系的局部孔隙比均服从k−Γ分布, 且这个分布仅与颗粒体系的全局孔隙比相关, 不受颗粒形态和剪切状态的影响. 局部孔隙比的波动呈现非对称拉普拉斯分布, 非对称参数刻画了局部自由体积收缩和膨胀的博弈, 其与全局孔隙比呈线性关系.

     

  • 图  1  颗粒形状描述

    Figure  1.  Particle shape descriptors

    图  2  数值试样

    Figure  2.  Numerical sample

    图  3  颗粒柱坍塌试验

    Figure  3.  Granular column collapse tests

    图  4  不同非球度的椭球颗粒偏应力−轴向应变

    Figure  4.  Curves of deviatoric stress versus axial strain for ellipsoidal particles with different asphericity

    图  5  不同非球度的椭球颗粒体积应变−轴向应变

    Figure  5.  Curves of volumetric strain versus axial strain for ellipsoidal particles with different asphericity

    图  6  Set Voronoi 剖分二维示意图

    Figure  6.  Two-dimensional illustration of Set Voronoi tessellation

    图  7  圆球和椭球颗粒的Voronoi元胞

    Figure  7.  Voronoi cells of spherical and ellipsoidal particles

    图  8  不同非球度的椭球颗粒在不同加载阶段的Voronoi元胞球度概率密度分布

    Figure  8.  Probability density distributions of sphericity of Voronoi cells at the different loading states for ellipsoidal particles with different asphericity

    图  9  不同非球度的椭球颗粒在临界状态的Voronoi元胞球度概率密度分布

    Figure  9.  Probability density distributions of sphericity of Voronoi cells at critical state for ellipsoidal particles with different asphericity

    图  10  临界状态下Voronoi元胞球度与颗粒形状参数$\alpha $的关系

    Figure  10.  Relationship between Voronoi cell sphericity and shape parameter $\alpha $ of particle at critical state

    图  11  不同非球度的椭球颗粒在不同加载阶段的局部孔隙比概率密度分布

    Figure  11.  Probability density distributions of local void ratio at the different loading states for ellipsoidal particles with different asphericity

    图  12  不同非球度的椭球颗粒在全局孔隙比相同时局部孔隙比概率密度分布

    Figure  12.  Probability density distributions of local void ratio at the states as same global void ratio for ellipsoidal particles with different asphericity

    图  13  局部孔隙比的标准差与全局孔隙比的关系

    Figure  13.  Relationship between standard deviation of local void ratio and global void ratio

    图  14  不同非球度的椭球颗粒试样在不同加载阶段的局部孔隙比波动概率密度分布

    Figure  14.  Probability density distributions of local void ratio fluctuations at the different loading states for particles with different shapes

    图  15  非对称参数$\kappa $与全局孔隙比的关系

    Figure  15.  Relationship between asymmetric parameter $\kappa $ and global void ratio

    表  1  FDEM数值模拟细观参数

    Table  1.   Parameters used in the FDEM simulation

    ParameterUnitValue
    densitykg/m32600
    friction coefficient0.5
    normal penaltyN/m34 × 1011
    tangential penaltyN/m34 × 1011
    Young’s modulusGPa40
    Poisson’s ratio0.2
    normal critical damping fraction0.03
    tangential critical damping fraction0.03
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出版历程
  • 收稿日期:  2021-06-08
  • 录用日期:  2021-07-20
  • 网络出版日期:  2021-07-21
  • 刊出日期:  2021-09-18

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