行星式球磨颗粒流场分布与形貌变化规律

doi:10.12382/bgxb.2021.0252

摘要/Abstract

摘要： 基于离散元模拟探究行星式球磨过程中颗粒流场分布，统计球磨过程中磨球整体与颗粒群碰撞的相对速度分布规律，进而提取单个磨球的碰撞场景，模拟多层颗粒的撞击场并研究层间压应力分布；开展铝与聚四氟乙烯混合物料颗粒及纯铝粉的行星式球磨试验，记录不同时刻颗粒群平均粒径，用以表征颗粒形貌变化，进一步提出基于颗粒群破碎概率与分形数的颗粒群平均粒径变化理论。研究结果表明：球磨时磨球整体与颗粒群碰撞中的低速碰撞占主体，仅1%的碰撞为归一化速度ξ>0.33的相对高速碰撞，威布尔分布能良好表征碰撞相对速度的分布规律；对于多层颗粒的撞击场，随着磨球撞击速度提高，其层间压应力分布趋向于哑铃形或葫芦形分布；颗粒群平均粒径关于球磨时间呈指数衰减规律。

关键词: 行星式球磨, 颗粒流场分布, 压应力场, 形貌变化

Abstract: The flow field distribution of particles in the planetary ball milling is explored based on the discrete element simulation. The relative velocity distribution of ball-particle group collision during the ball milling is calculated. Then the collision scene of a single ball is extracted，and the impact field of multi-layer particles is simulated to study the interlaminar compressive stress distribution. The planetary ball milling experiments of Al/PTFE mixed particles and Al particles were carried out，and the average diameter of particles at different time is recorded to characterize the change of particles morphology. The theory of the average diameter change of particles based on the broken probability and the fractal number of particle group is proposed.The results of discrete element simulation show that the low velocity collision is the main part of the ball-particle group collision. Only 1% of collision is the relative high velocity collision with normalized velocity ξ>0.33, and the Weibull distribution can well characterize the distribution of relative collision velocity. As for the impact field of multi-layer particles， the distribution of the multi-layer particles’ interlayer compressive stress tends to be dumbbell-shaped or gourd-shaped with the increase in ball collision velocity. The experimental results show that the average diameter of particles shows the exponential decaywith the increase in milling time.

Key words: planetaryballmilling, flowfielddistributionofparticles, compressivestressfield, morphologyvariation

中图分类号:

李旭, 刘彦, 安丰江, 王虹富, 许迎亮. 行星式球磨颗粒流场分布与形貌变化规律[J]. 兵工学报, 2022, 43(4): 876-891.

LI Xu, LIU Yan, AN Fengjiang, WANG Hongfu, XU Yingliang. Flow Field Distribution and Morphology Variation of Particles in Planetary Ball Milling[J]. Acta Armamentarii, 2022, 43(4): 876-891.

参考文献

［1］刘燕，安崇伟，罗进，等.纳米六硝基六氮杂异伍兹烷与三氨基三硝基苯含能复合物的制备及性能研究[J].兵工学报，2020，41(1):49-55.
LIU Y，AN C W，LUO J，et al.Preparation and characterization of Nano 2,4,6,8,10,12-hexaazaisowurtzitane/1,3,5-triamino-2,4,6-trinitrobenzene energetic composites[J].Acta Armamentarii，2020，41(1):49-55.(in Chinese)
[2］ XIA M，YAO Q F，YANG H L，et al.Preparation of Bi₂O₃/Al core-shell energetic composite by two-step ball milling method and its application in solid propellant[J].Materials，2019，12(11): 1879.
[3］ KUMAR M， XIONG X N， WAN Z H， et al. Ball milling as a mechanochemical technology for fabrication of novel biochar nanomaterials[J]. Bioresource Technology，2020，312:123613.
[4］ IM T，PYO J，LEE J S，et al.Fabrication of homogeneous nanosized nickel powders using a planetary ball mill:applications to multilayer ceramic capacitors (MLCCs)[J]. Powder Technology，2021，382: 118-125.
[5］ ADEDIRAN A A，ALANEME K K，OLADELE I O，et al.Effects of milling time on the structural and morphological features of Si-Based refractory compounds derived from selected Agro-Wastes[J].Materials Today-Proceedings，2021，38(2): 928-933.
[6］文国富，梁艳娟，王秀飞，等.球磨参数对石墨烯增强铜基复合材料性能的影响[J].润滑与密封，2021，46(1):103-110.
WEN G F，LIANG Y J，WANG X F，et al. Effects of ball-milling parameters on properties of graphene reinforced copper-based composites[J].Lubrication Engineering，2021，46(1): 103-110. (in Chinese)
[7］ DVORNIK M，MIKHAILENKO E. The influence of the rotation frequency of a planetary ball mill on the limiting value of the specific surface area of the WC and Co nanopowders[J].Advanced Powder Technology, 2020, 31(9):3937-3946.
[8］ LI Z，XU H，DONG A，et al.Characteristics of Ti-Nb-Mg alloy by powder metallurgy for biomedical applications[J]. Materials Characterization，2021，173:110953.
[9］杨君友，张同俊，崔崑，等.球磨过程中的碰撞行为分析[J].金属学报，1997，33(4):381-385.
YANG J Y，ZHANG T J，CUI K，et al.Analysis of impact behavior during ball milling[J］.Acta Metallurgica Sinica，1997，33(4):381-385. (in Chinese)
[10］ HIROSAWA F，IWASAKI T，IWATA M.Kinetic analysis of mechanochemical reaction between zinc oxide and gamma ferric oxide based on the impact energy and collision frequency of particles[J].Powder Technology，2019，352:360-368.
[11］ COLACINO E，CARTA M，PIA G，et al. Processing and Investigation Methods in Mechanochemical Kinetics[J]. ACS Omega，2018，3(8): 9196-9209.
[12］李腾飞，林蜀勇，张博，等.不同转速率下球磨机内钢球的碰撞研究[J].中南大学学报(自然科学版)，2019，50(2): 251-256.
LI T F， LIN S Y， ZHANG B， et al. Study on collisions of steel balls in grinding mill at different rotation speeds[J].Journal of Central South University (Science and Technology)，2019，50(2): 251-256. (in Chinese)
[13］ MIO H，KANO J，SAITO F，et al.Effects of rotational direction and rotation-to-revolution speed ratio in planetary ball milling[J].Materials Science and Engineering: A,2002，332(1/2): 75-80.
[14］ KIM K C，JIANG T，XU Y Z，et al.Application of discrete element simulation in mechanical activation of boron concentrate[J].Powder Technology，2021，382: 441-453.
[15］邢大伟.石灰石颗粒离散元模型构建及主动冲击破碎特性研究[D].厦门：华侨大学，2017.
XING D W. The establishment of limestone discrete element model and research on the characteristics of impact crushing[D].Xiamen：Huaqiao University，2017. (in Chinese)
[16］ ROSENKRANZ S，BREITUNG-FAES S，KWADE A. Experimental investigations and modelling of the ball motion in planetary ball mills[J].Powder Technology，2011，212(1): 224-230.
[17］ VOGEL L，PEUKERT W.Characterisation of grinding-relevant particle properties by inverting a population balance model[J].Particle & Particle Systems Characterization，2002，19(3): 149-157.
[18］ VOGEL L，PEUKERT W.Breadage behaviour of different materials-construction of mastercurve for the breakage probability[J].Powder Technology，2003，129(1/2/3): 101-110.
[19］ TONEVA P，PEUKERT W.A general approach for the characterization of fragmentation problems[J].Advanced Powder Technology，2007，18(1): 39-51.
[20］ SEIPENBUSCH M，TONEVA P，PEUKERT W，et al. Impact fragmentation of metal nanoparticle agglomerates[J].Particle & Particle Systems Characterization，2007，24(3): 193-200.
[21］ MORENO R，GHADIRI M，ANTONY S J. Effect of the impact angle on the breakage of agglomerates: a numerical study using DEM[J]. Powder Technology，2003，130(1/2/3): 132-137.
[22］ JIANG Y P，ALONSO-MARROQUIN F， HERRMANN H J，et al. Particle fragmentation based on strain energy field[J]. Granular Matter，2020，22(3): 69.
[23］朱美玲，颜景平，刘志宏.机械法制备超细粉机理和能耗的理论研究[J].东南大学学报，1994，24(4):1-7.
ZHU M L，YAN J P，LIU Z H. Theoretical research of mechanism and fracture energy of mechanical method about preparation of ultrafine powder[J].Journal of Southeast University，1994，24(4): 1-7. (in Chinese)

第43卷第4期2022 年4月
兵工学报ACTA ARMAMENTARII
Vol.43No.4Apr.2022