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Research on the mechanism of railway ballast shear performance under various sand contents and load conditions 不同含沙量和荷载条件下铁路道碴剪切性能的机理研究
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-05-30 DOI: 10.1007/s40571-024-00776-1
Yihao Chi, Hong Xiao, Xuhao Cui, Zhipei Chen, Zhihai Zhang, Zhongxia Qian, Weize Zhao

Railway operation in desert areas faces unique challenges due to wind-blown sand penetration on the safety of the line. In-depth research on the impact of wind-blown sand penetration on the shear performance of the railway ballast is crucial for understanding potential problems in sandy railways and formulating effective maintenance strategies. This paper conducts a series of direct shear tests under various sand contents and load conditions using an independently developed automatic control loading direct shear test apparatus suitable for railway ballast. By accurately considering the interaction between sand and ballast particles, some direct shear numerical models of different sand-containing ballast boxes based on refined particle simulation are established based on the discrete element method (DEM) and particle scaling method, exploring the variation in shear strength, shear deformation, contact relationships, and rotational characteristics of railway sand-containing ballast from macroscopic and microscopic perspectives. The results show that with the increase in shear strain, the shear stress of the ballast with various sand contents increases first and then tends to stabilize, and the phenomenon of dilation occurs in all cases. When the normal load is constant, the shear strength and cohesion of the ballast show a trend of first decreasing and then increasing with the increase in sand content. The wind-blown sand penetration inhibits the rotational deformation during shearing, enhancing particle aggregation. With the increase in sand content, the contact coordination number, powerful force chain number, and total force chain number all increase continuously. However, the average contact force shows a trend of gradually decreasing and then increasing. This study provides theoretical support and experimental backing for the operation and maintenance of the ballast bed in sandy railways.

沙漠地区的铁路运营面临着风沙渗透对线路安全造成的独特挑战。深入研究风吹沙渗透对铁路道碴剪切性能的影响,对于了解沙质铁路的潜在问题和制定有效的维护策略至关重要。本文利用自主研发的适用于铁路道碴的自动控制加载直接剪切试验装置,在不同含沙量和载荷条件下进行了一系列直接剪切试验。通过精确考虑砂与道碴颗粒之间的相互作用,基于离散元法(DEM)和颗粒缩放法,建立了一些基于细化颗粒模拟的不同含砂道碴箱的直接剪切数值模型,从宏观和微观角度探讨了铁路含砂道碴的剪切强度、剪切变形、接触关系和旋转特性的变化。结果表明,随着剪切应变的增大,不同含沙量的道碴的剪应力先增大后趋于稳定,且均出现扩张现象。在法向荷载不变的情况下,随着含沙量的增加,道碴的抗剪强度和内聚力呈现先减小后增大的趋势。风吹砂的渗透抑制了剪切过程中的旋转变形,增强了颗粒的聚集。随着含沙量的增加,接触配位数、强力链数和总力链数均持续增加。然而,平均接触力却呈现出先逐渐减小后逐渐增大的趋势。这项研究为沙质铁路道砟道床的运营和维护提供了理论支持和实验依据。
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引用次数: 0
A meshless particle method for solving time-fractional wave equations 求解时间分数波方程的无网格粒子法
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-05-30 DOI: 10.1007/s40571-024-00771-6
Zehui Ma, Rahmatjan Imin

In this paper, an accurate meshless method for solving time-fractional wave equation (TFWE) based on KDF-SPH approximation is proposed. In this method, finite difference method is used to discretize the time-fractional derivative defined in the Caputo sense. The spatial discretization is achieved using KDF-SPH meshless method. At the same time, the kernel approximation and particle approximation expressions are given. In order to prove the effectiveness and order of numerical convergence of the proposed method, a number of 1D and 2D initial boundary value problems are numerically simulated in regular and irregular domains, and the meshless method is compared with the existing methods. Numerical results show the effectiveness and accuracy of the proposed method, and the second-order accuracy is achieved in space in the regular calculation area.

本文提出了一种基于 KDF-SPH 近似的精确无网格方法来求解时间分数波方程(TFWE)。该方法采用有限差分法对 Caputo 意义上定义的时间分数导数进行离散化。空间离散化采用 KDF-SPH 无网格法实现。同时,给出了核近似和粒子近似表达式。为了证明所提方法的有效性和数值收敛阶次,在规则域和不规则域中对一些一维和二维初始边界值问题进行了数值模拟,并将无网格方法与现有方法进行了比较。数值结果表明了所提方法的有效性和准确性,在规则计算区域的空间中达到了二阶精度。
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引用次数: 0
Numerical investigation of mixing and heat transfer of granular material in a ribbon reactor: effect of impeller speed and filling rate 带式反应器中颗粒材料的混合和传热数值研究:叶轮速度和填充率的影响
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-05-30 DOI: 10.1007/s40571-024-00778-z
Zhijian Zuo, Bingwen Feng, Qiliang Liu, Shuguang Gong, Haishan Lu, Jianping Zhang

A better understanding of the relevance between mixing and heat transfer of granular material is necessary for the design of mixers in various industries. In this work, the effect of impeller speed and filling rate on the mixing and heat transfer of granular material in a ribbon reactor was studied based on DEM simulations. Quantitative criteria which are characterized by the critical mixing time and critical heating time were proposed based on the simulation results. It was found that the area near the vessel wall is heated first, and then the top surface area and the region near the impeller shaft are heated sequentially due to the recirculation effect. Increasing the impeller speed and decreasing the filling rate can improve the mixing and heat transfer performance. The effects of impeller speed and filling rate on mixing and heat transfer weaken as they increase. Results obtained in this work indicate that increasing the mixing performance can enhance the heat transfer of granular material in the ribbon reactor.

要更好地理解颗粒材料的混合和传热之间的关系,就必须设计出适用于各行各业的混合器。在这项工作中,基于 DEM 模拟研究了叶轮速度和填充率对带式反应器中颗粒材料的混合和传热的影响。根据模拟结果,提出了以临界混合时间和临界加热时间为特征的定量标准。研究发现,由于再循环效应,靠近容器壁的区域首先被加热,然后顶部表面区域和靠近叶轮轴的区域依次被加热。提高叶轮转速和降低填充率可以改善混合和传热性能。叶轮转速和填充率对混合和传热的影响随着它们的增加而减弱。本研究获得的结果表明,提高混合性能可增强带式反应器中颗粒材料的传热效果。
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引用次数: 0
A DEM-based framework to optimize the gradation of concrete aggregate using fractal approach 利用分形方法优化混凝土骨料级配的基于 DEM 的框架
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-05-29 DOI: 10.1007/s40571-024-00774-3
Gang Ma, Fan Wang

Several gradations of concrete with fractal dimension D = 2.0–2.9 (i.e., 2.0, 2.2, 2.4 2.6, 2.7, 2.8, 2.9) were designed based on particle size-mass distribution fractal model. The random polyhedral aggregate model was generated and then imported particle flow code, the discrete element method (DEM), to establish a multi-phase model considering mortar, aggregate, and interfacial transition zone (ITZ). On this basis, the relationship between fractal dimension D and macro-mechanical properties and microstructure of concrete was discussed, and the grading evaluation index was proposed based on fractal dimension D. The results show that the number of large-size aggregates decreases with increase in the fractal dimension, the compressive strength of concrete increases and reaches the maximum when the fractal dimension D = 2.7. Meanwhile, the fractal dimension affects the failure mode, as fractal dimension D increases, the total microcracks gradually increase, among which the ITZ microcracks increase mainly. Compared with the uncertainty of the non-uniformity coefficient and curvature coefficient, the fractal dimension can more accurately describe the aggregate grading characteristics. In addition, appropriate adjustments should be made to determine the range of fractal dimensions considering the differences between the aggregate filling.

根据粒径-质量分布分形模型,设计了几种分形维数 D = 2.0-2.9 的混凝土级配(即 2.0、2.2、2.4 2.6、2.7、2.8、2.9)。生成随机多面体集料模型后,导入颗粒流代码--离散元法(DEM),建立考虑砂浆、集料和界面过渡区(ITZ)的多相模型。在此基础上,讨论了分形维数 D 与混凝土宏观力学性能和微观结构的关系,并提出了基于分形维数 D 的级配评价指标。结果表明,随着分形维数的增加,大粒径集料数量减少,混凝土抗压强度增加,当分形维数 D = 2.7 时,混凝土抗压强度达到最大值。同时,分形维数对破坏模式也有影响,随着分形维数 D 的增大,总的微裂缝逐渐增多,其中主要是 ITZ 微裂缝增多。与不均匀系数和曲率系数的不确定性相比,分形维数能更准确地描述集料级配特征。此外,考虑到骨料充填物之间的差异,在确定分形尺寸范围时应进行适当调整。
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引用次数: 0
Discrete element model for effective electrical conductivity of spark plasma sintered porous materials 火花等离子烧结多孔材料有效电导率的离散元模型
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-05-28 DOI: 10.1007/s40571-024-00773-4
F. Nisar, J. Rojek, S. Nosewicz, J. Szczepański, K. Kaszyca, M. Chmielewski

This paper aims to analyse electrical conduction in partially sintered porous materials using an original resistor network model within discrete element framework. The model is based on sintering geometry, where two particles are connected via neck. Particle-to-particle conductance depends on neck size in sintered materials. Therefore, accurate evaluation of neck size is essential to determine conductance. The neck size was determined using volume preservation criterion. Additionally, grain boundary correction factor was introduced to compensate for any non-physical overlaps between particles, particularly at higher densification. Furthermore, grain boundary resistance was added to account for the porosity within necks. For numerical analysis, the DEM sample was generated using real particle size distribution, ensuring a heterogeneous and realistic microstructure characterized by a maximum-to-minimum particle diameter ratio of 15. The DEM sample was subjected to hot press simulation to obtain geometries with different porosity levels. These representative geometries were used to simulate current flow and determine effective electrical conductivity as a function of porosity. The discrete element model (DEM) was validated using experimentally measured electrical conductivities of porous NiAl samples manufactured using spark plasma sintering (SPS). The numerical results were in close agreement with the experimental results, hence proving the accuracy of the model. The model can be used for microscopic analysis and can also be coupled with sintering models to evaluate effective properties during the sintering process.

本文旨在利用离散元件框架内的一个独创电阻网络模型,分析部分烧结多孔材料中的电导。该模型基于烧结几何形状,其中两个颗粒通过颈部连接。颗粒与颗粒之间的传导取决于烧结材料中的颈部尺寸。因此,准确评估颈部尺寸对确定电导至关重要。颈部尺寸是通过体积保持标准确定的。此外,还引入了晶界校正因子,以补偿颗粒之间的任何非物理重叠,尤其是在高密度情况下。此外,还加入了晶界阻力,以考虑颈部的孔隙率。为了进行数值分析,DEM 样品是使用真实的粒度分布生成的,确保了异质和真实的微观结构,最大与最小颗粒直径比为 15。对 DEM 样品进行热压模拟,以获得不同孔隙率水平的几何形状。这些具有代表性的几何形状用于模拟电流流动,并确定有效电导率与孔隙率的函数关系。使用火花等离子烧结 (SPS) 制造的多孔镍铝样品的实验测量电导率验证了离散元素模型 (DEM)。数值结果与实验结果非常吻合,从而证明了模型的准确性。该模型可用于微观分析,也可与烧结模型结合使用,以评估烧结过程中的有效特性。
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引用次数: 0
Discrete element modeling of effect of interfacial roughness and pre-crack on crack propagation in thermal barrier coatings 界面粗糙度和预裂纹对隔热涂层裂纹扩展影响的离散元建模
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-05-25 DOI: 10.1007/s40571-024-00777-0
Yafeng Li, Hongfei Gao, Lei Wang, Yulin Sun, Jing Zhang

Particle erosion is a major failure mechanism in thermal barrier coatings. In this work, a discrete element model is developed to simulate the crack propagation due to particle erosion. The effects of the interface bond layer roughness and pre-crack are focused. The results show that with the increasing roughness of the bonding layer, the extension length of the delamination cracks is reduced. The delamination cracks are suppressed when the roughness increases. The initial vertical TC defects can effectively inhibit the nucleation and extension of the new cracks. This study provides a theoretical foundation for understanding the crack failure mechanism in thermal barrier coatings.

颗粒侵蚀是隔热涂层的一种主要失效机制。在这项工作中,开发了一个离散元素模型来模拟颗粒侵蚀引起的裂纹扩展。重点研究了界面结合层粗糙度和预裂纹的影响。结果表明,随着结合层粗糙度的增加,分层裂纹的扩展长度减小。粗糙度增加时,分层裂纹受到抑制。初始垂直 TC 缺陷能有效抑制新裂纹的成核和扩展。这项研究为理解隔热涂层的裂纹失效机理提供了理论基础。
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引用次数: 0
Approximate expressions for the capillary force and the surface area of a liquid bridge between identical spheres 相同球体间液体桥的毛细管力和表面积的近似表达式
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-05-24 DOI: 10.1007/s40571-024-00772-5
Meysam Bagheri, Sudeshna Roy, Thorsten Pöschel

We consider a liquid bridge between identical spheres and present approximate expressions for the capillary force and the exposed surface area of the liquid bridge as functions of the liquid bridge’s total volume and the sphere separation distance. The radius of the spheres and the solid–liquid contact angle are parameters that enter the expressions. These expressions are needed for efficient numerical simulations of drying suspensions and other systems involving liquid bridges whose volume or shape vary in time.

我们考虑了相同球体之间的液桥,并提出了液桥毛细力和暴露表面积的近似表达式,作为液桥总体积和球体间距的函数。球体半径和固液接触角是表达式中的参数。需要这些表达式来对涉及体积或形状随时间变化的液桥的干燥悬浮液和其他系统进行高效的数值模拟。
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引用次数: 0
Experimental and numerical investigation on crack propagation for a zigzag central cracked Brazilian disk 人字形中心开裂巴西圆盘裂纹扩展的实验和数值研究
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-05-23 DOI: 10.1007/s40571-024-00762-7
Vahab Sarfarazi, Jinwei Fu, Hadi Haeri, Mina Tahmasebi Moez, Manoj Khandelwal

This study examines the influence of zigzag joint configuration on crack propagation in centrally cracked Brazilian disks subjected to diametric forces, employing a 2-dimensional Particle Flow Code (PFC2D). An 80-mm-diameter disk specimen was used, featuring a single zigzag joint positioned at its center. The angles between the zigzag joint walls varied (45°, 90°, 135°), and the angle between loading and joint direction ranged from 0° to 90°. Testing was conducted under Brazilian indirect tensile (Splitting tensile test) conditions, with Acoustic Emission (AE) data utilized to analyze fracture progression. The movements of the boundary rate were kept at 0.005 mm/s. Brazilian tensile strength and uniaxial compression strength of samples were 0.8MPa and 7.4 MPa, respectively. The failure strengths were found to be contingent on the specific failure mechanism, which, in turn, was influenced by the geometric attributes of the flaws considered. The maximum failure force correlated with the number of tensile cracks, which increased as the zigzag notch angle decreased. Initial loading exhibited few AE events, but subsequently, AE hits escalated prior to reaching peak force, with the number of hits increasing as the zigzag notch angle decreased. The failure pattern and maximum force observed in specimens closely mirrored results obtained through both numerical simulations and experimental methods.

本研究采用二维粒子流代码 (PFC2D),研究了人字形连接构造对受到直径力作用的中心开裂巴西圆盘的裂纹扩展的影响。使用的是一个直径为 80 毫米的圆盘试样,其中心位置有一个人字形接缝。人字形连接壁之间的角度各不相同(45°、90°、135°),加载与连接方向之间的角度从 0° 到 90°不等。测试在巴西间接拉伸(劈裂拉伸试验)条件下进行,利用声发射(AE)数据分析断裂进展情况。边界速率保持在 0.005 mm/s。样品的巴西拉伸强度和单轴压缩强度分别为 0.8 兆帕和 7.4 兆帕。研究发现,破坏强度取决于具体的破坏机制,而破坏机制又受到所考虑的缺陷几何属性的影响。最大破坏力与拉伸裂纹数量相关,拉伸裂纹数量随着人字形缺口角度的减小而增加。初始加载显示的 AE 事件很少,但随后,AE 撞击在达到峰值力之前不断增加,随着人字形切口角度的减小,撞击次数也不断增加。在试样中观察到的失效模式和最大力与通过数值模拟和实验方法获得的结果密切相关。
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引用次数: 0
Large deformation assessment of the bearing capacity factor for rigid footing: effect of soil heterogeneity 刚性基脚承载力系数的大变形评估:土壤异质性的影响
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-05-23 DOI: 10.1007/s40571-024-00763-6
Wei-Hai Yuan, Hao-cheng Wang, Ya-Jun Li, Wei Zhang, Kang Liu
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引用次数: 0
The influence of gravel-scale heterogeneity and scale effect on the mechanical properties of conglomerate 砾石尺度异质性和尺度效应对砾岩力学性能的影响
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-05-20 DOI: 10.1007/s40571-024-00766-3
Xue-jian Li, Kang Duan, Han Meng, Qiangyong Zhang, Jiarun Li, Rihua Jiang
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引用次数: 0
期刊
Computational Particle Mechanics
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