基于DEM方法的不同密度颗粒材料砂堆形成过程的数值研究

颗粒堆积是地质工程中较为普遍的现象,而其堆积稳定后的安息角可以在一定程度上反映颗粒堆积的基本特征.用DEM方法研究不同密度分布的颗粒堆积过程及堆积结果,有助于我们在细观层面研究颗粒密度对颗粒堆积结果的影响和验证DEM方法分析颗粒堆积的合理性.本研究用圆形颗粒简化模拟散体颗粒:第一步,用EDEM软件建立相关模型,在模型内生成简化的颗粒,模拟颗粒在重力作用下自由下落和堆积稳定的过程;第二步,模型中生成颗粒下落堆积稳定后,保留模型底部边界,数值模拟研究移除模型上部边界后颗粒散落堆积稳定的过程并测定堆积体的安息角;第三步,对应数值模型,做相关的实验进行对比验证.研究结果表明:在只考虑堆积颗粒密度而忽略其他参数影响的条件下,堆积颗粒材料的密度越小,其堆积稳定后的安息角越大.     

转动驱动圆角立方体颗粒有序堆积的离散元模拟

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...     

竖直振动管中颗粒毛细效应的离散元模拟

将一根细管插入填充有颗粒的静止容器中并对管施加竖直振动,颗粒将在管内发生上升运动,并最终稳定在一定高度,这一现象与液体毛细效应类似,被称为颗粒毛细效应.为探究颗粒毛细效应过程中伴随的颗粒尺度动力学行为及机理,基于离散元方法建立颗粒运动模型,对颗粒毛细效应动力学过程和特性开展数值模拟研究.模拟再现了文献中实验得到的颗粒毛细效应全过程,给出了管内颗粒柱高度随时间的演变规律,结果表明,受到颗粒系统参数的影响,本模拟条件下颗粒毛细效应过程呈现单周期上升、倍周期上升和倍周期稳定三个阶段,在倍周期上升阶段颗粒柱上升速度逐渐减小,平缓过渡到稳定阶段.在此基础上,分析了管内颗粒速度场和填充率分布随时间的演变特性,揭示了颗粒毛细效应过程中由容器传输到管内的颗粒的占比分布.研究发现,管内不同高度位置颗粒的运动并不同步,随着管的振动,管内出现速度波,速度波的传播引起管内颗粒出现膨胀和压缩交替的情况,从而管内颗粒填充率随时间发生周期性波动;在上升阶段,越接近管壁由容器传输到管内的颗粒占比越大,在稳定阶段,管内上层颗粒的对流引起容器传输到管内的颗粒占比发生反转.      

竖直振动管中颗粒毛细效应的离散元模拟

将一根细管插入填充有颗粒的静止容器中并对管施加竖直振动,颗粒将在管内发生上升运动,并最终稳定在一定高度,这一现象与液体毛细效应类似,被称为颗粒毛细效应.为探究颗粒毛细效应过程中伴随的颗粒尺度动力学行为及机理,基于离散元方法建立颗粒运动模型,对颗粒毛细效应动力学过程和特性开展数值模拟研究.模拟再现了文献中实验得到的颗粒毛细效应全过程,给出了管内颗粒柱高度随时间的演变规律,结果表明,受到颗粒系统参数的影响,本模拟条件下颗粒毛细效应过程呈现单周期上升、倍周期上升和倍周期稳定三个阶段,在倍周期上升阶段颗粒柱上升速度逐渐减小,平缓过渡到稳定阶段.在此基础上,分析了管内颗粒速度场和填充率分布随时间的演变特性,揭示了颗粒毛细效应过程中由容器传输到管内的颗粒的占比分布.研究发现,管内不同高度位置颗粒的运动并不同步,随着管的振动,管内出现速度波,速度波的传播引起管内颗粒出现膨胀和压缩交替的情况,从而管内颗粒填充率随时间发生周期性波动;在上升阶段,越接近管壁由容器传输到管内的颗粒占比越大,在稳定阶段,管内上层颗粒的对流引起容器传输到管内的颗粒占比发生反转.     

颗粒介质弹性参数测量方法及装置研究

本文发展了一种实施简便的颗粒介质弹性参数测量方法,设计并加工了基于该方法的实验装置。利用加载设备对该实验装置在一个方向上加卸载,在加载方向和与之垂直的另一方向上测量载荷和位移后即可获得颗粒介质的等效弹性模量和泊松比。该实验装置的容器还可方便地调节尺寸,适用于测量不同粒径颗粒堆积在不同大小容器时的弹性参数。本文还研究了尺寸效应的影响,分析了容器尺寸和颗粒粒径分别对介质弹性参数的影响规律。     

多相流局部混合型质点网格法

提出模拟多相流的局部混合型质点网格法，该方法能稳定地模拟高浓度流体颗粒两相 流. 在每一个颗粒团尺度的欧拉网格下(本文称之为欧拉微元)，基于Lagrangian 追踪原理，可直接估计体积内颗粒的总量，从而准确求出欧拉微元和控制容积内颗粒的 浓度(即颗粒在容积内的体积含量). 同时，假设在新的时间步下，颗粒在欧拉微元里充分 混合，形成新颗粒团. 作者对竖直和倾斜容器中单粒径颗粒沉降和竖直容器中双粒径颗粒双 峰悬浮液沉降过程进行了计算，结果与实测数据相符.     

基于沿程坐标积分模式颗粒流与结构物阵列相互作用的数值模拟

近年来, 由颗粒物质流动主导的泥石流、滑坡等自然灾害评估及其防护工作越来越受到人们的关注. 本文基于沿程坐标积分模式建立了陡峭地形条件结构物作用下颗粒流运动的数值模型, 可以较为准确地表征陡峭地形情形结构物影响下颗粒流的流态特征和运动过程, 尤其是相互作用过程中激波结构的形成与演化, 颗粒流的反射、绕射和爬升等动力效应. 通过数值模拟研究了颗粒流与不同分布密度四面体结构物阵列相互作用时的流态演化与堆积形貌, 提出了新型偏转效率无量纲指标, 结合流通效率, 定量评估了四面体结构物阵列对颗粒流流通距离和侧向铺展特征的影响. 结果表明, 单个四面体结构物对颗粒流的作用包括耗散作用和偏转作用两种模式, 其中偏转作用尤为显著; 结构物阵列对颗粒流产生综合的耗散和偏转作用, 通过多级作用形成系列的弓形激波耗散颗粒流能量, 通过偏转作用分隔和改变颗粒流路径, 增强耗散作用, 调控堆积形态, 可望对下游地区产生显著的防护效果.      

点载荷作用下密集颗粒物质的传力特性分析

利用颗粒离散元商业软件PFC3D, 模拟了在2m*1m*0.01m容器中直径分别为0.01m, 0.008m和0.006m的颗粒各1*10$^4$个, 受重力作用下的静态密集堆积; 以此为初始条件, 在表层随机选择7个颗粒分别施加5.2*10$^{ - 2}$N(100倍最大颗粒重量)的点载荷, 进行应力传播特点研究. 结果表明: 力的传递在局部范围内呈现很强的各向异性; 应力涨落随着距离的增加呈指数下降; 在大于5倍最大颗粒粒径时, 其分布可以使用弹性力学理论来计算. 探讨了摩擦系数$\mu =0$, 0.2, 1对应力传递的影响, 随着摩擦系数的增加, 各向异性范围减小.     

岩石碎屑流运移堆积过程数值模拟

岩石高速远程崩滑是一种特殊的、危害性很大的地质灾害,崩滑后期形成的高速岩石碎屑流具有很高的运移能力,破坏力极强。以岩石碎屑流为研究对象,重点模拟岩石碎屑流形成后,碎屑流的运移堆积过程和最大运移堆积距离。利用二维颗粒离散元数值模拟方法,建立碎屑流二维运动堆积模型,分析了岩石碎屑流初始高度、体积、加速斜面坡度、堆积底面摩擦系数以及堆积底面地表起伏程度对于岩石碎屑流最大运移堆积距离的影响。实验结果显示:岩石碎屑流运移堆积过程体现出了碎屑流物质的离散性和流动性; 碎屑流最大堆积距离随高度、体积、斜面坡度增大而增大; 随堆积底面摩擦系数、堆积底面地表起伏程度增大而减小。     

三维圆柱型颗粒堆坍塌问题的全相态数值模拟

静态颗粒堆在重力作用下的坍塌问题, 是认识和理解许多人为过程和自然现象的基础. 采用传统方法进行模拟存在单颗粒追踪数量大、宏观模拟流变特性明显和相态演变复杂等计算难点. 本文从颗粒介质表现出不同相态的物理机理出发, 对全相态概念进行了定义并进行了区域划分. 根据颗粒介质的应力-应变关系及体积分数的不同, 通过确定不同相态之间的耦合关系和转化准则, 将描述各相态的现有理论有效结合起来, 建立了描述颗粒介质经历全部相态的耦合模型理论. 采用光滑离散颗粒流体动力学方法和离散单元法相耦合的策略, 对颗粒介质物理模型求解, 实现了对不同长径比下的三维圆柱型颗粒堆坍塌过程的数值模拟. 计算结果与实验结果吻合较好, 同时与离散单元法相比, 计算量得到了控制. 不仅捕捉到了不同参数影响下颗粒堆坍塌后沉积的不同现象, 同时获得了不同条件参数对颗粒堆坍塌后铺展特性的影响规律, 为揭示工业和自然界中广泛存在的颗粒介质复杂运动机理提供有效的支撑.      

Modeling of the random packing of a loose layer of polydisperse spherical particles

A method for calculating the loose packing structure of polydisperse spherical particles with a predetermined size distribution function is proposed. The coordinates of the particle centers in the loose layer are determined as the result of random fall of single spheres on a substrate under the action of gravity, assuming the inelastic collision of the spheres and considering the force of their adhesive interaction, and also assuming that the motion of one sphere on the surface of the other is pure slip. Numerical simulation is used to obtain the pattern of arrangement of polydisperse spherical particles in the loose powder layer, whose porosity depends on the particle size distribution function. The results are compared with experimental data.     

Determining a representative element volume for DEM simulations of samples with non-circular particles

Numerical studies on the number of particles or system size required to attain a representative element volume (REV) for discrete element method (DEM) simulations of granular materials have almost always considered samples with spherical or circular particles. This study considers how many particles are needed to attain a REV for 2D samples of 2-disc cluster particles where the particle aspect ratio (AR) was systematically varied. Dense and loose assemblies of particles were simulated. The minimum REV was assessed both by considering the repeatability of static packing characteristics and the shearing behaviour in biaxial compression tests, and by investigating the effect of sample size on the measured characteristics and observed shearing behaviour. The repeatability of the data considered generally improved with increasing sample size. The packing characteristics of the dense samples were more repeatable suggesting that the minimum REV reduces with increasing packing density. The minimum REV was observed to be sensitive to the characteristic measured. Although the overall responses of the samples during shear deformation were similar irrespective of the sample sizes, the smaller the sample size, the higher the fluctuations observed in the responses. Analysis of the coefficient of variation of the fluctuations around the critical state stress ratio can provide insight as to whether a REV is attained. The particle AR influences the effect of sample size on shearing characteristics and thus the minimum number of particles required to attain a REV; this can be explained by the influence of AR on the number of contacts within the samples.     

Angle of repose in the numerical modeling of ballast particles focusing on particle-dependent specifications: Parametric study

The discrete element method (DEM) is widely used in the realistic simulation of the shapes of particles. Researchers have considered the simplification of particle shapes owing to the high computational cost of such simulation. In this regard, the modeling of calibrated particles is a major challenge owing to the simultaneous effects of particle properties. The angle-of-repose test is a standard test method used to calibrate the bulk behavior of simulated particles. In the present study, the hollow-cylinder (slump) test was modeled for the verification of discrete element simulations. In this regard, a sensitivity analysis was conducted for all effective parameters, namely the static friction, rolling friction, restitution coefficient, sphericity, roundness, particle size distribution, and number of ballast particles. The results indicate that the rolling friction, roundness, number of particles, and size of particles are the most important parameters in the determination of the angle of repose (AOR). For particles in the range of ballast (20–60 mm), the effect of the number of particles on the angle of repose is reduced when the number is greater than 426. Additionally, it is concluded that angular particles can be replaced with sub-angular particles (R ≈ 0.2–0.45) with a higher rolling friction coefficient (μ_r > 0.14).     

Implicit frictional-contact model for soft particle systems

We introduce a novel numerical approach for the simulation of soft particles interacting via frictional contacts. This approach is based on an implicit formulation of the Material Point Method, allowing for large particle deformations, combined with the Contact Dynamics method for the treatment of unilateral frictional contacts between particles. This approach is both precise due to the treatment of contacts with no regularization and artificial damping parameters, and robust due to implicit time integration of both bulk degrees of freedom and relative contact velocities at the nodes representing the contact points. By construction, our algorithm is capable of handling arbitrary particle shapes and deformations. We illustrate this approach by two simple 2D examples: a Hertz contact and a rolling particle on an inclined plane. We also investigate the compaction of a packing of circular particles up to a solid fraction well above the jamming limit of hard particles. We find that, for the same level of deformation, the solid fraction in a packing of frictional particles is above that of a packing of frictionless particles as a result of larger particle shape change.     

Homogeneity of isostatic pressure-assisted sintering of agglomerated powder

This article is dedicated to the modeling of the pressure-assisted sintering of agglomerated powders by the grain-boundary and the surface diffusion transport. Agglomerates are treated as volumes with dense particle packing. Kinetics of sintering during consolidation is estimated by a direct numerical analysis of the matter redistribution by diffusion around a single neck between identical spherical particles. Type of packing is introduced into the model through the definition of the packing angle and a special symmetry boundary condition for diffusion fluxes. The numerical analysis of sintering parameters for a single neck allows the evaluation of macroscopic viscosities of the material for different types of the particle packing and enables the estimation of the densification rate of agglomerates and non-agglomerated elements of powder compacts. Calculations show that, despite low initial density and low initial viscosity of a loose powder around agglomerates, isostatic pressing cannot provide a complete equalization of local densities in an agglomerated powder. In all considered cases, agglomerates have reached final density faster than elements with looser packing.     

激波驱动下固体颗粒抛撒的实验研究

本文使用阴影照相技术、高速摄像技术及压力测试手段,实验记录和研究了激波与固体颗粒群的作用及激波作用后固体颗粒群的抛撒和云团的形成过程.结果表明:在激波与固体颗粒群作用过程中,存在着清晰的激波透射、反射及绕射现象,同时激波强度在作用后有明显的下降趋势;在固体颗粒抛撒及云团形成过程中,实验发现对同一粒径的颗粒抛撒来说,抛撒的颗粒群质量越大,云团形成的均匀性及稳定性越好,而对不同粒径的颗粒群来说,粒径越大,形成的云.团集中性越强.     

Development and validation of SuperDEM for non-spherical particulate systems using a superquadric particle method

This article presents the development and validation of the Superquadric Discrete Element Method (SuperDEM) for non-spherical particle simulation using a superquadric particle method in open-source CFD suite MFiX. A superquadric particle–particle contact algorithm with accelerating and stabilizing strategy was developed. A superquadric particle–arbitrary wall contact algorithm was developed, which enables the simulation in complex geometry. The solver was validated by comparing with experimental data generated in this study or available in the literature. Tests include cylinder contacting with a wall, static packing of M&M chocolate candies in a cylindrical container, static packing of cylinders in a cylindrical container, dynamic angle of repose of cylinders in a rotating drum, and discharging of chocolate candies from a hopper. Besides, MPI parallelization of the solver was implemented and the parallel performance of the solver using MPI was assessed through large-scale simulations of 1 million, 10 million, and 100 million particles on up to 6800 cores, which demonstrates that the SuperDEM solver has great potential for industrial-scale systems simulation.     

Micro-rheology of dense particulate flows: Application to immersed avalanches

We rely here on a non-smooth contact dynamics (NSCD) approach to treat particle collisions in a direct numerical simulation of a dense particulate flow. Interactions between particles are considered by a non-smooth formulation of particle dynamics at the microscopic scale, which enables one to straightforwardly implement complex contact laws. The hydrodynamic coupling is achieved by a distributed Lagrange multiplier/fictitious domain (DLM/FD) method. As a preliminary step, the relevance of our NSCD-DLM/FD method is assessed by comparing results of 2D sedimentation simulations with those obtained with a usual molecular dynamics collision model. Then, we use it to investigate how a fully immersed granular packing collapses depending on its initial particle volume fraction, providing clues on the micro-rheology of dense particulate flows.     

基于球形颗粒几何排列的离散元试样高效生成方法

在球体离散元数值模拟中,颗粒的初始排列状态是影响计算效率和计算结果的重要环节。本文采用前进面几何构造算法,提出了一种基于网格搜索的球形颗粒随机排列高效算法。通过求解空间三边方程,满足了粒径设置的任意大小的颗粒依次置入前进面的外侧,并与构成前进面的三个颗粒相互接触。为获得高体积分数的颗粒簇,该算法允许颗粒改变其粒径大小。采用颗粒网格化方法可以简化前进面的搜索,并由此提高排列效率。通过计算平均配位数、体积分数和二阶结构张量的特征值,对不同粒径比下得到的立方体试样进行了分析,得到试样配位数及体积分数均随着粒径比的增大而增大,且得到的试样为各向同性。此外,空间网格的大小和初始颗粒的生成点对随机排列的效率均会产生显著的影响。最后,对非规则铁路道砟进行了精细构造及压碎模拟,发现DEM模拟得到的应力-应变曲线与试验结果基本吻合,验证了该算法得到的颗粒试样在模拟道砟裂纹起裂、扩展等过程的有效性。