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Thermal discrete particle model of powder melting and coalescence in additive manufacturing 增材制造中粉末熔化与聚并的热离散粒子模型
IF 2.9 3区 工程技术 Pub Date : 2025-10-06 DOI: 10.1007/s10035-025-01581-0
Mohamad Yousef Shaheen, Stefan Luding, Anthony R. Thornton, Thomas Weinhart

Laser powder bed fusion (LPBF) is an additive manufacturing technique that utilizes laser-induced melting of specific regions within a powder layer to create complex parts. Achieving high-quality products in LPBF requires the optimization of process parameters based on the unique characteristics of the powder material. Since experimental optimisation can be both time-consuming and costly, we propose a computational model capable of simulating the particle micro-mechanics in LPBF, offering a more cost-effective solution.

We have developed a novel thermal discrete particle and contact model that accurately captures the essential phenomena of melting, coalescence, and consolidation within LPBF. Our model assumes that solid particles partially melt under the influence of heat, subsequently coalesce, and form solid bonds during the cooling phase. The rate of coalescence is determined by the material’s surface tension and viscosity as it undergoes melting. To account for phase transitions, we employ an apparent heat capacity method. We first introduce our contact model and provide verification against analytical solutions for a two-particle system. We then demonstrate the efficacy of our model by applying it to a multi-particle example, successfully capturing the coalescence and consolidation behaviour observed in LPBF. The model has been implemented in the open-source code MercuryDPM. The current model is developed for polymer material, but it can be extended to metal and ceramic.

Graphical Abstract

Thermal Discrete Particle Model of Particle melting and Coalescence

激光粉末床熔融(LPBF)是一种增材制造技术,利用激光诱导熔化粉末层内的特定区域来制造复杂的零件。在LPBF中获得高质量的产品需要根据粉末材料的独特特性对工艺参数进行优化。由于实验优化既耗时又昂贵,我们提出了一个能够模拟LPBF中颗粒微观力学的计算模型,提供了一个更具成本效益的解决方案。我们开发了一种新的热离散颗粒和接触模型,该模型准确地捕捉了LPBF中熔化、聚结和固结的基本现象。我们的模型假设固体颗粒在热的影响下部分熔化,随后聚结,并在冷却阶段形成固体键。在熔化过程中,材料的表面张力和粘度决定了聚合的速率。为了解释相变,我们采用表观热容法。我们首先介绍了我们的接触模型,并对两粒子系统的解析解进行了验证。然后,我们通过将该模型应用于多粒子例子来证明其有效性,成功捕获了在LPBF中观察到的聚结和固结行为。该模型已在开源代码MercuryDPM中实现。目前的模型是针对高分子材料开发的,但它可以扩展到金属和陶瓷。图形化:粒子熔化与聚并的热离散粒子模型
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引用次数: 0
Investigation of porosity model construction for high pellet ratio mixed-burden layers in blast furnace 高炉高球团比混料层孔隙率模型构建研究
IF 2.9 3区 工程技术 Pub Date : 2025-09-29 DOI: 10.1007/s10035-025-01577-w
Yating Cui, Ruishuai Si, Zhenyang Wang, Jianliang Zhang, kexin Jiao, Peiyuan Lu

Driven by the “dual carbon” strategy for low-carbon steel transformation, raising the pellet ratio in the blast furnace (BF) burden offers a core technical path to optimize burden structure and cut carbon emissions. The distribution of BF burden critically influences operation by affecting internal gas flow, heat and mass transfer, and chemical reactions. This study employs the discrete element method (DEM) to examine how burden structure affects bed porosity at high pellet ratios, emphasizing mixed-layer formation. Key findings include: (1) Porosity evolution patterns in mixed burden layers under varying furnace charge configurations were characterized. (2) Porosity is minimized at the ore-coke interface because of particle penetration. Additionally, this effect intensifies as the coke-ore size difference increases. (3) Increasing the pellet ratio enhances lump-zone bed porosity and permeability. As the pellet ratio increased from 30 to 90%, bed porosity rose from 33.75 to 36.19%, a 2.43% increase.

Graphical Abstract

在低碳钢转型“双碳”战略的推动下,提高高炉炉料球团比是优化炉料结构、降低碳排放的核心技术路径。高炉炉料的分布通过影响炉内气体流动、传热传质和化学反应对高炉的运行产生重要影响。本研究采用离散元法(DEM)研究了在高球团比条件下,储层结构对床层孔隙度的影响,并强调了混合层的形成。主要发现有:(1)研究了不同炉料配置下混合炉料层孔隙度演化规律。(2)由于颗粒的渗透作用,矿焦界面孔隙度最小。此外,这种影响随着焦矿粒度差的增大而加剧。(3)增大球团比可提高块状带床层的孔隙度和渗透率。随着球团比从30%增加到90%,床层孔隙度从33.75%增加到36.19%,增加了2.43%。图形抽象
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引用次数: 0
Shear strength measurement of a calcite bond between bio-cemented sand grains 生物胶结砂粒间方解石粘结的抗剪强度测定
IF 2.9 3区 工程技术 Pub Date : 2025-09-29 DOI: 10.1007/s10035-025-01567-y
Marilyn Sarkis, Antoine Naillon, Fabrice Emeriault, Christian Geindreau

In this study, a contact-scale approach is developed in order to measure the strength of the bio-cemented bond under shear loading. Fifteen pairs of bio-cemented sand grains, coming from two different bulk samples with different calcite content, were first observed using high-resolution synchrotron X-ray tomography in order to compute the contact surface area, before being subjected to the shear loading. After failure, these samples were also observed using scanning electron microscopy and energy-dispersive X-ray spectroscopy in order to determine the failure mode. The results have shown that the shear strength is 2.11 times higher that the tensile strength for this material, and has an average value of 5.81 ± 1.99 MPa. Digital image correlation was used in this study in order to distinguish the samples that broke due to shear from those that broke due to rolling. Similarly to the case under tensile loading, failure was also observed to occur at the interface between the sand and the calcite crystals. The percentage of active calcite crystals (hbox {f}_textrm{c}) was also found to be around 25%, independently of the amount of calcite present in the initial bulk sample.

Graphical Abstract

Main steps followed in the study that allow to find the shear strength of a bond between bio-cemented sand grains.

在这项研究中,为了测量剪切载荷下生物胶结的强度,开发了一种接触尺度的方法。在进行剪切加载之前,首先使用高分辨率同步加速器x射线断层扫描观察了来自两种不同方解石含量的不同体积样品的15对生物胶结砂粒,以计算接触表面积。失效后,利用扫描电子显微镜和能量色散x射线能谱对这些样品进行观察,以确定失效模式。结果表明,该材料的抗剪强度是抗拉强度的2.11倍,其平均值为5.81±1.99 MPa。在本研究中,为了区分因剪切而破裂的样品和因滚动而破裂的样品,使用了数字图像相关。与拉伸载荷下的情况类似,也观察到在砂和方解石晶体之间的界面发生破坏。活性方解石晶体(hbox {f}_textrm{c})的比例也在25%左右%, independently of the amount of calcite present in the initial bulk sample.Graphical AbstractMain steps followed in the study that allow to find the shear strength of a bond between bio-cemented sand grains.
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引用次数: 0
Correction: Statistics for simulated assemblies of particles from mathematical models 更正:来自数学模型的模拟粒子集合的统计数据
IF 2.9 3区 工程技术 Pub Date : 2025-09-15 DOI: 10.1007/s10035-025-01573-0
Felix Ballani, Dietrich Stoyan
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引用次数: 0
Stress probing analysis of recent stress history effects on small-to-medium strain stiffness of granular materials 近期应力历史对颗粒材料中小应变刚度影响的应力探测分析
IF 2.9 3区 工程技术 Pub Date : 2025-09-11 DOI: 10.1007/s10035-025-01575-y
T. H. Chen, Z. X. Yang

This paper investigates the effects of recent stress history (RSH), specifically sudden changes in the stress path direction, on the small-strain stiffness and stiffness degradation characteristics of granular materials, using three-dimensional discrete element method (DEM) simulations. Specimens with varying RSHs are prepared via a series of approach paths from diverse directions, involving deviations from and returns to a common stress state. The norm of the induced plastic strain, obtained through a stress probing technique, is proposed as a criterion to determine the extent of the approach path. Subsequently, constant-p triaxial compression tests are conducted to analyze the effects of different RSHs on stress–strain response, small-strain stiffness, and stiffness degradation. Results reveal that specimens experiencing full stress reversal exhibit significantly higher small-strain shear stiffness than those under sustained load directions. Specimens loaded with counterclockwise stress rotation angles exhibited slightly greater stiffness than those with equivalent clockwise angles. Furthermore, the configuration of stiffness degradation curves, defined by onset and reference shear strain, is strongly influenced by the stress rotation angle. Stress probing reveals that RSH mainly affects total shear stiffness degradation by altering the extent of plasticity, with the elastic stiffness remaining largely unaffected. Finally, a modification to an existing stiffness model is proposed by introducing an RSH-dependent factor, complementing the effects of void ratio, stress state, and shear strain, to enhance predictive accuracy.

本文采用三维离散元法(DEM)模拟研究了近期应力历史(RSH),特别是应力路径方向的突然变化对颗粒材料小应变刚度和刚度退化特性的影响。通过一系列不同方向的接近路径制备具有不同rsh的试样,包括偏离和返回共同应力状态。通过应力探测技术获得的诱发塑性应变范数,被提出作为确定接近路径范围的准则。随后进行等p三轴压缩试验,分析不同RSHs对应力-应变响应、小应变刚度和刚度退化的影响。结果表明,完全应力逆转的试件的小应变剪切刚度明显高于持续荷载方向下的试件。以逆时针角度加载的试件刚度略大于顺时针角度加载的试件。此外,由起始剪切应变和参考剪切应变定义的刚度退化曲线的形态受应力旋转角的强烈影响。应力探测表明,RSH主要通过改变塑性程度来影响总剪切刚度退化,而弹性刚度基本不受影响。最后,对现有的刚度模型进行了修正,引入了rsh相关因子,补充了孔隙比、应力状态和剪切应变的影响,以提高预测精度。
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引用次数: 0
DEM investigation on compaction characteristics and maximum dry density behavior of over coarse-grained soil 超粗粒土压实特性及最大干密度特性的DEM研究
IF 2.9 3区 工程技术 Pub Date : 2025-09-11 DOI: 10.1007/s10035-025-01574-z
Mincai Jia, Yiming Zheng, Yibing Deng, Jin Huang, Gang Zhang

Compaction characteristics and maximum dry density control constitute critical considerations for over coarse-grained soil filler. In this study, DEM simulations of surface vibration tests were conducted and parametric analyses were carried out to investigate the effect of maximum particle size and gradation on compaction characteristics and maximum dry density behavior of over coarse-grained soil. The results show that the maximum dry density was positively correlated with the maximum particle size. Pores could be sufficiently filled when the content of small particles reached 25%, and soil skeleton was loosened when the content of small particles exceeded 35%. Giant and medium particles at a low content increased the maximum dry density by replacing small particles and void between them, and forming the soil skeleton when the content exceeded 40%. The increase in maximum dry density caused by small particles filling the pores and the decrease caused by the loosening of soil skeleton result in a peak value of maximum dry density when the content of small particles is between 25 and 35%. The effects of particles in soil can be concluded into four effects: framework effect, filling effect, substitution effect, and loosening effect. This study provides a scientific basis for predicting models and compaction methods of over coarse-grained soil.

Graphical abstract

压实特性和最大干密度控制是超粗粒土填料的关键考虑因素。本研究通过对地表振动试验的DEM模拟和参数化分析,研究了最大粒径和级配对超粗粒土的压实特性和最大干密度特性的影响。结果表明,最大干密度与最大粒径呈正相关。当小颗粒含量达到25%时,孔隙得到充分填充,当小颗粒含量超过35%时,土骨架松动。低含量的巨粒和中粒通过取代小颗粒及其之间的空隙来增加最大干密度,当含量超过40%时形成土壤骨架。小颗粒填充孔隙导致最大干密度增大,骨架松动导致最大干密度减小,当小颗粒含量在25% ~ 35%之间时,最大干密度达到峰值。颗粒在土体中的作用可归纳为四种效应:框架效应、填充效应、替代效应和松动效应。该研究为超粗粒土的预测模型和压实方法提供了科学依据。图形抽象
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引用次数: 0
The emergence of granular matter features in a system of non-contact magnetic repelling particles. 粒状物质的出现是一个非接触磁排斥粒子系统的特征。
IF 2.9 3区 工程技术 Pub Date : 2025-09-10 DOI: 10.1007/s10035-025-01566-z
M. Aguilar-González, L. F. Elizondo-Aguilera, Y. D. Sobral, F. Pacheco-Vázquez

We explored experimentally the static and dynamic behavior of magnetic repelling particles confined in a two-dimensional cell using two particle geometries, namely, disks and rectangular bars. Despite the contactless interaction, typical static features of granular materials are observed for both particle shapes when the material rearranges under the action of gravity: pile formation with an angle of repose, and pressure saturation (Janssen-like effect), which can be explained by considering the magnetically-induced torques that generate friction between particles and confining walls. When the material is forced to be rearranged by compression, particle shape effects become notorious: while disks rearrange increasing the hexagonal ordering, bars augment their orientational ordering forming larger non-contact force chains mediated by the magnetic field; however, in both cases, the resistance to compression rises continuously, in contrast with the fluctuating compression dynamics (stick–slip motion or periodic oscillations) that characterizes granular systems with inter-particle contacts. Our results indicate that continuum approaches of granular materials can be used to characterize the system, despite the contactless interaction and specific shape of the constitutive particles.

Graphical Abstract

Angle of repose, Janssen effect and other features of conventional granular matter are also observed in a system of contactless repelling particles.

我们通过实验探索了磁性排斥粒子在二维单元中的静态和动态行为,采用了两种粒子几何形状,即圆盘和矩形棒。尽管存在无接触相互作用,但在重力作用下,颗粒材料重新排列时,两种颗粒形状都具有典型的静态特征:具有休止角的桩形成和压力饱和(类杨森效应),这可以通过考虑产生颗粒与围壁之间摩擦的磁感应扭矩来解释。当材料因压缩而被迫重新排列时,粒子形状效应变得臭名昭著:当磁盘重新排列增加六边形排序时,棒材增强其方向排序,形成由磁场介导的更大的非接触力链;然而,在这两种情况下,压缩阻力持续上升,与具有颗粒间接触的颗粒系统特征的波动压缩动力学(粘滑运动或周期振荡)形成对比。我们的研究结果表明,颗粒材料的连续介质方法可以用来表征该系统,尽管本构颗粒的无接触相互作用和特定形状。在无接触排斥粒子体系中,还观察到常规颗粒物质的休止角、杨森效应等特征。
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引用次数: 0
Evolution characteristics of normal stress on a silo wall induced by a hyperbolic hopper during discharge 双曲漏斗卸料过程中筒仓壁正应力的演化特征
IF 2.9 3区 工程技术 Pub Date : 2025-09-10 DOI: 10.1007/s10035-025-01569-w
Yang Han, Zhijun Xu, Zhaoxiang Guo, Huijie Guo, Yuanhao Cheng

Discrete element method and theoretical analyses were performed to investigate the evolution characteristics of dynamic normal stress on a silo wall with hyperbolic hopper. Results show that the hyperbolic hopper promotes the development of stagnant zone, which avoids the concentration of large dynamic normal stress on a silo wall effectively. Compared with the conical hopper, the hyperbolic hopper reduces the peak normal stress by 14.42%, and increases the range of large normal stress from 0.2 to 0.5 m. The large stagnant zone causes a flow zone with large velocity gradient to develop, which drives the granular materials to flow out from the hyperbolic hopper in an orderly manner, thereby weakening the oscillation strength of the granular materials against silo wall. The hyperbolic hopper weakens the inertial force generated by the instantaneous arch during its formation and breaking, resulting in reducing the dynamic normal stress on silo wall with a hyperbolic hopper.

Graphical Abstract

采用离散元法和理论分析方法研究了双曲线料斗筒仓壁动正应力的演化特征。结果表明:双曲料斗促进了滞流区的发展,有效地避免了大的动正应力集中在料仓壁上;与锥形料斗相比,双曲线料斗的峰值正应力降低了14.42%,大正应力范围从0.2 m增大到0.5 m。较大的滞流区形成了流速梯度较大的流动区,促使颗粒物料有序地从双曲料斗流出,从而减弱了颗粒物料对料仓壁的振荡强度。双曲料斗削弱了瞬时拱在其形成和断裂过程中产生的惯性力,从而减小了双曲料斗筒仓壁上的动正应力。图形抽象
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引用次数: 0
Better granular damping effect triggered by a single-raised bottom surface 单凸起底面触发的颗粒阻尼效果更好
IF 2.9 3区 工程技术 Pub Date : 2025-09-08 DOI: 10.1007/s10035-025-01572-1
Wenzhe Li, Kai Zhang, Yan Chen, Siqi Ma

The influence of the raised-bottom on the dissipation behavior of three-dimensional (3D) oscillating closed granular system is studied by discrete element simulation in this work. Firstly, the damping effect and motion phase states of granular balls in a flat-bottom closed container are investigated in the interested range of excitation parameters, which reveals two different high damping granular dissipation behaviors. Then, the damping characteristics of the same quantity of granular balls in flat, concave and raised bottom containers are compared, which indicates that the granular system with a 2 mm raised-bottom exhibits relatively better damping effect. Moreover, the difference between flat-bottom and 2 mm raised-bottom granular system in the dissipation behavior of optimal damping granules is further analyzed. Finally, the essence of enhanced damping effect of the 3D granular system by the 2 mm raised-bottom is revealed, i.e., the fact that the change of injection mode of vibration energy into granular system caused by the raised-bottom makes it easier for ideal dense granular cluster to appear in the oscillating granular bed.

本文采用离散元模拟的方法,研究了提高底对三维(3D)振荡封闭颗粒体系耗散特性的影响。首先,在感兴趣的激励参数范围内,研究了平底密闭容器中颗粒球的阻尼效应和运动相态,揭示了两种不同的高阻尼颗粒耗散行为。然后,比较了相同数量的颗粒球在平底、凹底和凸底容器中的阻尼特性,结果表明,凸底2 mm的颗粒体系阻尼效果相对较好。此外,还进一步分析了平底与2mm凸底颗粒体系在最优阻尼颗粒耗散特性上的差异。最后揭示了2 mm凸起底部增强三维颗粒体系阻尼效应的实质,即凸起底部导致振动能量注入颗粒体系的方式发生改变,使得在振荡的颗粒床中更容易出现理想的致密颗粒团簇。
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引用次数: 0
Study on failure behavior and mode of soil-rock mixture slopes upon SPH numerical simulation 基于SPH数值模拟的土石混合体边坡破坏行为及破坏模式研究
IF 2.9 3区 工程技术 Pub Date : 2025-08-30 DOI: 10.1007/s10035-025-01571-2
Gang Zhong, Xiaoqiang Zhang, Xiong Song, Jingqi Cui, Zhenrui Zhang

In order to accurately and efficiently predict the landslide hazard and post-failure behavior of soil-rock mixtures (SRM), this study adopts the smoothed particle hydrodynamics (SPH) method. Rocks with arbitrary shapes are generated by employing the Monte Carlo random sampling principle. Subsequently, a lattice-based particle generator is proposed to interpret the geometrical model of SRM slopes and to construct the SPH numerical model. Furthermore, this study examines the effects of varying rock contents, sizes and shapes on the failure characteristics of SRM slopes. The findings reveal that the shear zone exhibits non-circular form during SRM slopes failure, presenting four distinct plastic expansion modes: Bypass, diversion, penetration, and inclusion. For identical rock content, an increase in large-sized rocks enhances the interlocking effect, thereby improving SRM slope stability. Conversely, the roundness of rocks significantly affects their failure behavior within SRM slopes, with higher roundness contributing to easier instability. The results demonstrate that the SPH method provides an innovative approach for investigating the failure behavior of heterogeneous materials, such as geotechnical bodies. Moreover, this method exhibits substantial potential for broader applications across various geotechnical engineering domains.

Graphical Abstract

为了准确有效地预测土石混合体(SRM)的滑坡危险性和破坏后行为,本研究采用光滑颗粒水动力学(SPH)方法。采用蒙特卡罗随机抽样原理,生成了任意形状的岩石。在此基础上,提出了一种基于网格的粒子发生器来解释SRM斜坡的几何模型,并建立了SPH数值模型。此外,本研究还探讨了不同岩石含量、大小和形状对SRM边坡破坏特征的影响。研究结果表明,在SRM边坡破坏过程中,剪切带呈非圆形形态,呈现出四种不同的塑性扩展模式:旁通、导流、渗透和包裹。在岩石含量相同的情况下,大尺寸岩石的增加增强了联锁效应,从而提高了SRM边坡的稳定性。相反,岩石的圆度显著影响其在SRM边坡内的破坏行为,圆度越大,越容易失稳。结果表明,SPH方法为研究土工体等非均质材料的破坏行为提供了一种创新的方法。此外,该方法在各种岩土工程领域显示出广泛应用的巨大潜力。图形抽象
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引用次数: 0
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Granular Matter
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