摘要
非规则颗粒材料广泛地存在于自然界和工业生产中,其复杂的几何形态对力学性质有显著的影响.为构建更接近真实颗粒形态的理论模型,以扩展多面体为基本单元,发展了扩展多面体组合单元.为验证扩展多面体组合单元的可靠性,分别对凸形三棱柱单元、凹形正倒锥体单元在平底漏斗中的卸料过程进行了离散元模拟,并与试验结果进行比较分析,得到其具有较好的一致性.在此基础上,对不同形态的组合单元进行堆积和卸料离散元模拟,研究了颗粒形状对堆积分数、卸料流量和休止角的影响.结果表明,颗粒形状越复杂,颗粒之间的互锁效应越显著,颗粒系统更加稳定.扩展多面体组合单元的有效应用,为离散元数值模拟描述任意形态颗粒材料提供了一种新的构建方法.
Irregular granular materials are widely available in nature and industrial fields.To construct a theoretical model closer to the real granular materials,a multi-dilated polyhedron model based on the dilated polyhedron element was developed.To verify the reliability of the multi-dilated polyhedron model,the discharge processes of the convex triangular prism particles and concave upward-downward conical particles in the flat bottom hopper were simulated and compared with experimental results,to show good consistency.Besides,the piling and discharge process of differently shaped multi-dilated polyhedron particles were simulated.Furthermore,the effects of particle shapes on the piling fractions,mass flow rates and angles of repose were discussed.The results indicate that,given a more complex particle shape,the interlocking between particles will be stronger,thereby the stability of the granular system will be higher.The effective application of multi-dilated polyhedron elements provides a new model-building method for irregular granular materials.
作者
李典哲
刘璐
季顺迎
LI Dianzhe;LIU Lu;JI Shunying(State Key Laboratory of Structure Analysis of Industrial Equipment,Dalian University of Technology,Dalian,Liaoning 116024,P.R.China)
出处
《应用数学和力学》
CSCD
北大核心
2023年第7期769-783,共15页
Applied Mathematics and Mechanics
基金
国家重点研发计划(重点专项)(2021YFA1500302,2018YFA0605902)
国家自然科学基金项目(42176241)。
关键词
离散单元法
扩展多面体颗粒
组合单元
非规则颗粒材料
discrete element method
multi-dilated polyhedron particle
combined element
irregular granular material
作者简介
李典哲(1999-),女,硕士生,E⁃mail:lidianzhe@mail.dlut.edu.cn;通讯作者:季顺迎(1972-),男,博士,教授,E⁃mail:jisy@dlut.edu.cn.
