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转动驱动圆角立方体颗粒有序堆积的离散元模拟

张祺 乔婷 季顺迎 厚美瑛

张祺, 乔婷, 季顺迎, 厚美瑛. 转动驱动圆角立方体颗粒有序堆积的离散元模拟. 力学学报, 2022, 54(2): 336-346 doi: 10.6052/0459-1879-21-341
引用本文: 张祺, 乔婷, 季顺迎, 厚美瑛. 转动驱动圆角立方体颗粒有序堆积的离散元模拟. 力学学报, 2022, 54(2): 336-346 doi: 10.6052/0459-1879-21-341
Zhang Qi, Qiao Ting, Ji Shunying, Hou Meiying. DEM simulation of ordering of cubes with rounded corners by rotation driven. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(2): 336-346 doi: 10.6052/0459-1879-21-341
Citation: Zhang Qi, Qiao Ting, Ji Shunying, Hou Meiying. DEM simulation of ordering of cubes with rounded corners by rotation driven. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(2): 336-346 doi: 10.6052/0459-1879-21-341

转动驱动圆角立方体颗粒有序堆积的离散元模拟

doi: 10.6052/0459-1879-21-341
基金项目: 国家自然科学基金(11502155, U1738120, 11772085), 中国载人航天工程(YYWT-0601-EXP-20)和山西省自然科学基金(201901D211112)资助项目
详细信息
    作者简介:

    厚美瑛, 研究员, 主要研究方向: 颗粒物质动力学及相变. E-mail: mayhou@aphy.iphy.ac.cn

  • 中图分类号: O351

DEM SIMULATION OF ORDERING OF CUBES WITH ROUNDED CORNERS BY ROTATION DRIVEN

  • 摘要: 宏观颗粒体系的有序堆积研究可以为热系统中微观粒子的自组装提供研究模型, 也有助于工业生产中提高颗粒材料的填充率. 实验发现圆筒中的圆角立方体颗粒受容器往复旋转剪切作用会实现有序堆积. 为探究旋转圆筒中立方体颗粒有序堆积过程的内部结构演化过程和动力学机理, 采用超二次曲面方程构造了圆角立方体颗粒, 基于离散元方法对旋转剪切作用下圆角立方体颗粒有序堆积过程开展数值模拟研究. 模拟复现了实验中立方体颗粒从随机堆积状态向有序致密堆积状态转变的过程, 给出了体积分数和有序度参数在容器不同运动条件下随旋转次数增加的变化规律. 结果表明, 立方体颗粒的体积分数和有序度表现为随着容器旋转次数增加而逐渐增大直至稳定的变化趋势. 体系的有序堆积过程由外层颗粒开始逐渐向内部颗粒扩展. 通过调控容器旋转角位移发现颗粒完成有序堆积过程所需的特征旋转次数与容器旋转角位移呈现反比例关系. 旋转角位移过低, 体系只会形成两种颗粒团簇共存的结构, 即某一面平行容器底面的颗粒团簇与面对角线平行重力方向的颗粒团簇共存. 研究也发现在亚重力环境下立方体颗粒同样可以通过容器的旋转实现有序堆积. 重力加速度的减少会抑制立方体颗粒从无序堆积向有序堆积的转变.

     

  • 图  1  装置示意图以及边界旋转方式

    Figure  1.  Schematic diagram of simulation and boundary rotation mode

    图  2  体积分数及有序度随旋转次数的变化

    Figure  2.  Packing fraction $ \varPhi $ and cubatic order parameter $ {S}_{4} $ versus number of rotation

    图  3  立方体颗粒的有序化过程

    Figure  3.  The ordering process of cubic particles

    图  4  $ \gamma $一定, 不同峰值角速度$ {\omega }_{0} $下, 填充率$ \varPhi $和有序度参量$ {S}_{4} $的变化

    Figure  4.  Volume fraction $ \varPhi $ and cubatic order parameter $ {S}_{4} $ versus number of rotation N for $ \gamma $=1.01 and different $ {\omega }_{0} $

    图  5  角速度$ {\omega }_{0} $一定, 不同$ \gamma $下, 填充率$ \varPhi $和有序度参量$ {S}_{4} $的变化

    Figure  5.  Volume fraction $ \varPhi $ and cubatic order parameter $ {S}_{4} $ versus number of rotation N for $ {\omega }_{0} $=5.0 rad/s and different $ \gamma $

    图  6  反转时间一定, 不同$ \gamma $下, 填充率$ \varPhi $和有序度参量$ {S}_{4} $的变化

    Figure  6.  Volume fraction $ \varPhi $ and cubatic order parameter $ {S}_{4} $ versus number of rotation N for the constant inversion time and different $ \gamma $

    图  7  特征旋转次数与旋转角位移的关系

    Figure  7.  Characteristics rotation number versus angular displacement

    图  8  相同$ \beta $值下, 填充率$\varPhi $和有序度参量$ {S}_{4} $的变化曲线.

    Figure  8.  Volume fraction $ \varPhi $ and cubatic order parameter $ {S}_{4} $ versus number of rotation N for the constant $ \beta $

    图  9  不同重力加速度下, 填充率$ \varPhi $和有序度参量$ {S}_{4} $的变化曲线(模拟参数: 边界$ \gamma =4.04 $, 峰值角速度$ {\omega }_{0}=10.0\;\mathrm{ }\mathrm{r}\mathrm{a}\mathrm{d}/\mathrm{s} $)

    Figure  9.  Volume fraction $\varPhi $ and order parameter $ {S}_{4} $ versus number of rotation N for different acceleration of gravity ($ \gamma =4.04 $, $ {\omega }_{0}=10.0\;\mathrm{ }\mathrm{r}\mathrm{a}\mathrm{d}/\mathrm{s} $)

    表  1  转动驱动立方体颗粒有序堆积过程的主要计算参数

    Table  1.   DEM simulation parameters of ordering of cubes

    ParameterSymbolValue
    density/(kg·m−3)$ \rho $928
    Young's modulus/GPa$ E $2.5
    Poisson's ratio$ \nu $0.2
    damping coefficient (particle-particle)$ {C}_{t} $0.1
    damping coefficient (particle-wall)$ {C}_{tw} $0.1
    sliding friction coefficient (particle-particle)$ {\mu }_{t} $0.3
    sliding friction coefficient (particle-wall)$ {\mu }_{tw} $0.8
    rolling friction coefficient$ {\mu }_{r} $0.005
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出版历程
  • 收稿日期:  2021-07-19
  • 录用日期:  2022-01-24
  • 网络出版日期:  2022-01-25
  • 刊出日期:  2022-02-17

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