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Modeling and mitigation of vortex formation in ejector deep hole drilling with smoothed particle hydrodynamics 利用平滑颗粒流体力学模拟和缓解喷射器深孔钻进过程中的涡流形成
IF 3.3 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-03 DOI: 10.1007/s40571-024-00789-w
Andreas Baumann, Julian Frederic Gerken, Daniel Sollich, Nuwan Rupasinghe, Dirk Biermann, Peter Eberhard

Ejector deep hole drilling achieves high-quality boreholes in production processes. High feed rates are applied to ensure a high productivity level, requiring reliable chip removal from the cutting zone for a stable process. Therefore, a constant metalworking fluid flow under high volume flow rates or high pressure is required. Experimental results show a vortex formation at the outer cutting edge. This vortex can lead to delayed chip removal from the cutting zone, and ultimately, it can lead to chip clogging and result in drill breakage due to increased torque. This paper investigates modified drill head designs using the smoothed particle hydrodynamics method. The investigated modifications include various designs of the chip mouth covering. Besides graphical analysis based on flow visualizations, flow meters are placed at the tool’s head to evaluate the impact of the modifications on the flow rate and possible increased resistance and relocation of the fluid flow from the outer cutting edge to other parts of the tool. The simulation results for the reference design show the experimentally observed vortex formation, validating the simulation model. By adding the tool’s rotation in the SPH simulation, which is not included in the experiments for observation reasons, the vortex formation is positively influenced. In addition, some designs show promising results to further mitigate the vortex formation while maintaining a sufficient fluid flow around the cutting edges.

喷射器深孔钻可在生产过程中钻出高质量的孔。采用高进给率可确保高生产率水平,同时要求切削区排屑可靠,以实现稳定的加工过程。因此,需要在大流量或高压下保持金属加工液的恒定流动。实验结果表明,外切削刃处会形成涡流。这种涡流会导致切削区的排屑延迟,最终导致切屑堵塞,并因扭矩增大而导致钻头断裂。本文采用平滑粒子流体力学方法研究了改进后的钻头设计。所研究的改进包括各种切屑口覆盖设计。除了基于流动可视化的图形分析外,还在钻头上安装了流量计,以评估修改对流速的影响,以及可能增加的阻力和流体从切削刃外侧流向钻头其他部位的情况。参考设计的模拟结果显示了实验观察到的涡流形成,验证了模拟模型。在 SPH 模拟中加入了实验中因观察原因未包括的刀具旋转,对涡流的形成产生了积极影响。此外,一些设计显示了在保持切削刃周围有足够流体流动的同时进一步缓解涡流形成的良好效果。
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引用次数: 0
Understanding post-impact biomechanics of ballistic cranial injury by smoothed particle hydrodynamics numerical modelling 通过平滑粒子流体力学数值建模了解弹道颅脑损伤的撞击后生物力学原理
IF 3.3 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-01 DOI: 10.1007/s40571-024-00783-2
Akanae Chattrairat, Everson Kandare, Sontipee Aimmanee, Phuong Tran, Raj Das

Virtual crime scene investigation using numerical models has the potential to assist in the forensic investigation of firearm-related fatalities, where ethical concerns and expensive resources limit the scope of physical experiments to comprehend the post-impact biomechanics comprehensively. The human cranial numerical model developed in this study incorporates three main components (skin, skull, and brain) with dynamic biomaterial properties. The virtual model provides valuable insights into the post-impact biomechanics of cranial ballistic injuries, particularly in high-speed events beyond conventional investigative capabilities, including the velocity of ejected blood backspatter, cavitation collapsing, and pressure waves. The validation of the numerical model, both quantitatively and qualitatively, demonstrates its ability to replicate similar bone fractures, entrance wound shapes, and backward skin ballooning observed in physical experiments of the human cranial geometry. The model also yields similar temporary cavity sizes, wound sizes, and blood backspatter time against the physical cranial model, aiding in bloodstain pattern analysis. Additionally, the numerical model enables exploration of ballistic factors that vary in each crime scene environment and influence cranial injuries, such as projectile type, velocity, impact location, and impact angle. These established injury patterns contribute to crime scene reconstruction by providing essential information on projectile trajectory, discharge distance, and firearm type, assisting in the resolution of court cases. In conclusion, the developed human cranial geometry in this study offers a reliable tool for investigating firearm-related cranial injuries, serving as a statistical reference in forensic science. Virtual crime scene investigationsusing these modelshave the potential to enhance the accuracy and efficiency of forensic analyses.

使用数字模型进行虚拟犯罪现场调查有可能有助于与枪支有关的死亡事故的法医调查,因为在这种情况下,伦理问题和昂贵的资源限制了物理实验的范围,无法全面理解撞击后的生物力学。本研究中开发的人体颅骨数值模型包含三个具有动态生物材料特性的主要组成部分(皮肤、颅骨和大脑)。该虚拟模型为颅骨弹道损伤的撞击后生物力学提供了宝贵的见解,尤其是在超出传统研究能力的高速事件中,包括喷射血液反向散射的速度、空化塌陷和压力波。对数值模型的定量和定性验证表明,该模型能够复制类似的骨折、入口伤口形状以及在人体颅骨几何物理实验中观察到的后向皮肤气球。该模型还产生了与物理颅骨模型相似的临时空腔大小、伤口大小和血液反向散射时间,有助于血迹模式分析。此外,该数值模型还能探索在每个犯罪现场环境中变化并影响颅脑损伤的弹道因素,如射弹类型、速度、撞击位置和撞击角度。这些已建立的损伤模式有助于犯罪现场重建,提供了有关弹丸轨迹、发射距离和枪支类型的重要信息,有助于法庭案件的解决。总之,本研究中开发的人体颅骨几何模型为调查与枪支有关的颅骨损伤提供了可靠的工具,可作为法医学的统计参考。利用这些模型进行虚拟犯罪现场调查有可能提高法医分析的准确性和效率。
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引用次数: 0
Modeling of ultrasonic vibration-assisted micromachining using the particle finite element method 利用粒子有限元法建立超声波振动辅助微加工模型
IF 3.3 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-06-29 DOI: 10.1007/s40571-024-00791-2
Hadi Bakhshan, Eugenio Oñate, Josep Maria Carbonell

When metals and alloys are exposed to ultrasonic vibrations (UV), a softening behavior occurs, caused by the phenomenon of acousto-plasticity. To obtain accurate results in a deformation analysis, this phenomenon must be included in the formulation of the constitutive material model. In this work, an acoustic-plastic model is proposed to capture the effects of ultrasonic vibrations during machining. The desired effect is to modify the chip morphology to reduce the magnitude of the cutting forces and thus reduce the energy consumption of the process. The study focuses on the modeling of ultrasonic vibration-assisted micromachining (VAMM). The particle finite element method is used and extended to perform a thermo-mechanical analysis capable of capturing the responses of conventional micromachining (CMM) and VAMM operations of 32 HRC stainless steel. The cutting speed and UV parameters, including amplitude and frequency, are integrated into the Johnson–Cook constitutive model to account for the effects of acoustic softening on the machining characteristics. The results show that the influence of UV on microcutting leads to thinner chips and lower cutting force. In the VAMM operations, an average reduction in cutting forces of 20% is achieved at five different cutting speeds. In addition, the contact length between the tool and chip decreases at different cutting speeds from 29% to a maximum of 44%. Furthermore, the thermal analysis results show that there is a negligible temperature change during the CMM and VAMM simulations, indicating that the study of the machining process can focus exclusively on its mechanical aspects when performed at the microscale. The predicted average chip thickness and effective shear angle of the workpiece material are in strong agreement with the experimental results, emphasizing the importance of considering acoustic softening in VAMM studies.

当金属和合金受到超声波振动(UV)作用时,会出现由声塑性现象引起的软化行为。为了在变形分析中获得准确的结果,必须在制定材料构成模型时考虑到这一现象。本研究提出了一种声塑模型,以捕捉加工过程中超声波振动的影响。其预期效果是改变切屑形态,以减小切削力的大小,从而降低加工能耗。研究重点是超声波振动辅助微加工(VAMM)的建模。研究使用并扩展了粒子有限元法,对 32 HRC 不锈钢进行热机械分析,以捕捉传统微加工 (CMM) 和 VAMM 操作的响应。切削速度和紫外线参数(包括振幅和频率)被集成到约翰逊-库克构成模型中,以考虑声软化对加工特性的影响。结果表明,紫外线对微量切削的影响导致切屑更薄,切削力更低。在 VAMM 操作中,在五种不同的切削速度下,切削力平均降低了 20%。此外,在不同的切削速度下,刀具与切屑之间的接触长度从 29% 减小到最大 44%。此外,热分析结果表明,在 CMM 和 VAMM 模拟过程中,温度变化可以忽略不计,这表明在微观尺度下对加工过程的研究可以完全集中在机械方面。预测的平均切屑厚度和工件材料的有效剪切角与实验结果非常吻合,强调了在 VAMM 研究中考虑声软化的重要性。
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引用次数: 0
Determination and parameters calibration of the soybean-bonded particle model based on discrete element method 基于离散元法的大豆结合颗粒模型的确定和参数校准
IF 3.3 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-06-27 DOI: 10.1007/s40571-024-00792-1
Dan-Dan Han, Qing Wang, Yun-Xia Wang, Wei Li, Chao Tang, Xiao-Rong Lv

To determine the desirable bonding parameters of the soybean-bonded particle model for accidentally simulating the working process of a pneumatic soybean seed-metering device. Taking the compressive destructive force (Fc,p) derived from the uniaxial compression test of soybean seeds as the evaluation index for the compression simulation tests. The Plackett–Burman and the steepest ascent tests were executed to identify the centroids of the influential factors that substantially affect the bonding force of the soybean-bonded particle model. The optimal values of the significance influencing variables were determined based on the Box–Behnken response surface test. The results indicated that the effect of bonded disk radius (RB,p) between fraction particles on the Fc,p was extremely significant, and the effects of the restitution coefficient (ep-steel) and static friction coefficient (μp-steel) of soybean-steel, normal stiffness per unit area (kn,p) and critical normal stress (σmax,p) were found to be statistically significant. The preferred values identified by Box–Behnken response surface test were 0.520 for ep-steel, 0.274 for μp-steel, 4.082 × 107 N/m3 for kn,p, 3.517 × 105 Pa for σmax,p, and 0.982 mm for RB,p, respectively. The compressive destructive force of soybean seeds was 211.32 N at this point, which was 0.2% less than the measured value of 211.74 N. The results of comparing the grain morphologies during the actual and simulated compressions indicated that the compression states had a superior consistency. It was determined that the DEM simulation input parameters for the soybean-bonded particle model calibrated were proven to be effective and dependable. The investigation presented in this paper can be utilized to effectively analyze the working process of the pneumatic soybean seed-metering devices through coupled simulation. It can also serve as a reference for other researchers to construct a particle model for DEM simulation using the BPM approach.

确定大豆粘合颗粒模型的理想粘合参数,以意外模拟气动式大豆种子计量装置的工作过程。以大豆种子单轴压缩试验得出的压缩破坏力(Fc,p)作为压缩模拟试验的评价指标。通过普拉克特-伯曼试验和最陡坡试验,确定了对大豆结合颗粒模型结合力有重大影响的影响因素的中心点。根据 Box-Behnken 响应面检验确定了重要影响变量的最佳值。结果表明,分数颗粒之间的粘结盘半径(RB,p)对 Fc,p 的影响极其显著,大豆-钢的恢复系数(ep-steel)和静摩擦系数(μp-steel)、单位面积法向刚度(kn,p)和临界法向应力(σmax,p)的影响均具有统计学意义。通过箱-贝肯响应面试验确定的优选值分别为:ep-钢为 0.520,μp-钢为 0.274,kn,p 为 4.082 × 107 N/m3,σmax,p 为 3.517 × 105 Pa,RB,p 为 0.982 mm。此时大豆种子的压缩破坏力为 211.32 N,比测量值 211.74 N 减少了 0.2%。经确定,大豆结合颗粒模型校准的 DEM 模拟输入参数被证明是有效和可靠的。本文介绍的研究可用于通过耦合模拟有效分析气动大豆种子计量装置的工作过程。它还可为其他研究人员利用 BPM 方法构建用于 DEM 仿真的粒子模型提供参考。
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引用次数: 0
A moving least square immersed boundary method for SPH with thin-walled rigid structures 薄壁刚性结构 SPH 的移动最小平方沉浸边界法
IF 3.3 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-06-24 DOI: 10.1007/s40571-024-00721-2
Zhuolin Wang, Zichao Jiang, Yi Zhang, Gengchao Yang, Trevor Hocksun Kwan, Yuhui Chen, Qinghe Yao

This paper presents a novel method for smoothed particle hydrodynamics (SPH) with thin-walled rigid structures. Inspired by the direct forcing immersed boundary method, this method employs a moving least square method for the velocity interpolation instead of the linear interpolation. It reduces oscillations due to changing relative positions between fluid grids and structures. It also simplifies thin-walled rigid structure simulations by eliminating the need for multiple layers of boundary particles, and improves computational accuracy and stability in three-dimensional scenarios. Results of the impulsively started plate test demonstrate that the proposed method obtains smooth velocity and pressure, as well as a good match to the references results of the vortex wake development. Results of the flow past cylinder test show that the proposed method avoids mutual interference on both side of the boundary, while accurately calculating the forces acting on structure. By comparing to linear least square direct forcing scheme and the diffusive direction scheme, advantages of lower oscillation and higher accuracy are proven. Results of flow past a sphere further indicate the stability of the proposed method for three-dimensional simulations.

本文提出了一种新的薄壁刚性结构平滑粒子流体力学(SPH)方法。受直接强迫沉浸边界法的启发,该方法采用移动最小平方法进行速度插值,而不是线性插值。它减少了由于流体网格和结构之间相对位置变化引起的振荡。它还通过消除对多层边界颗粒的需求简化了薄壁刚性结构模拟,并提高了三维场景下的计算精度和稳定性。脉冲启动板试验结果表明,所提出的方法可以获得平稳的速度和压力,并与涡流尾流发展的参考结果很好地匹配。流过圆柱体试验的结果表明,提出的方法避免了边界两侧的相互干扰,同时准确计算了作用在结构上的力。通过与线性最小二乘法直接强迫方案和扩散方向方案的比较,证明了该方法具有振荡更小、精度更高的优点。流过球体的结果进一步证明了所提方法在三维模拟中的稳定性。
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引用次数: 0
Influence of intermediate principal stress and rolling resistance on the shearing response of sand: a micromechanical investigation 中间主应力和滚动阻力对沙子剪切响应的影响:微机械研究
IF 3.3 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-06-24 DOI: 10.1007/s40571-024-00782-3
S. V. Dharani Raj, Mousumi Mukherjee, Andres Alfonso Peña-Olarte, Roberto Cudmani

Existing literature on true triaxial and torsional shear tests indicate that the mechanical response of a granular assembly is significantly influenced by the magnitude of the intermediate principal stress ratio. The present study aims to explore the mechanism behind such effects in reference to the particle-level interaction using 3D DEM simulations. In this regard, true triaxial numerical simulations have been carried out with constant minor principal stress and varying (b) values employing rolling resistance-type contact model to mimic particle shape. The numerical simulations have been validated against the true triaxial experiments reported in the literature for dense Santa Monica beach sand. The macro-level shearing response of the granular assembly has been examined in terms of the evolution of stress ratio and volumetric strain for different rolling resistance coefficients. Further, such macro-level response has been assessed in reference to the micro-scale attributes, e.g. average contact force, number of interparticle contacts, mechanical coordination number, contact normal orientation, and fabric tensor as well as meso-scale attribute like strong contact force network. Lade’s failure surface has been adopted to represent the stress and fabric at peak state in the octahedral plane, and mathematical expressions have been proposed relating the failure surface parameters to the rolling resistance coefficient.

Graphical abstract

有关真实三轴和扭剪试验的现有文献表明,颗粒组件的机械响应受到中间主应力比大小的显著影响。本研究旨在利用三维 DEM 模拟,参照颗粒级相互作用,探索这种影响背后的机制。为此,采用滚动阻力型接触模型来模拟颗粒形状,在次主应力恒定、(b())值变化的情况下进行了真正的三轴数值模拟。数值模拟结果与文献中报道的针对致密圣莫尼卡海滩砂的真实三轴实验结果进行了验证。通过不同滚动阻力系数下应力比和体积应变的演变,研究了颗粒组件的宏观剪切响应。此外,还参考了微观尺度属性(如平均接触力、颗粒间接触数量、机械配合数、接触法线方向和织物张量)以及中观尺度属性(如强接触力网络),对这种宏观响应进行了评估。采用拉德失效面来表示八面体峰值状态下的应力和织物,并提出了失效面参数与滚动阻力系数之间的数学表达式。
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引用次数: 0
Efficient explicit time integration algorithms for non-spherical granular dynamics on group S(3) S(3) 组上非球形颗粒动力学的高效显式时间积分算法
IF 3.3 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-06-23 DOI: 10.1007/s40571-024-00780-5
Zonglin Li, Ju Chen, Qiang Tian, Haiyan Hu

Discrete element method (DEM) is a powerful tool for the dynamic simulation of irregular non-spherical particle systems. The efficient integration of the rotational motions of numerous particles in DEM poses a big challenge. This paper presents six explicit time integration algorithms, comprising three first-order algorithms and three second-order algorithms, for the rotational motions of non-spherical particles based on the theory of unit quaternion group S(3). The proposed algorithms based on Cayley map do not contain any transcendental function and have high efficiency. The numerical examples underscore the superiority of the first-order symplectic Euler Cayley algorithm (SECay) and the second-order central difference Cayley algorithm (CDCay) in terms of both efficiency and accuracy. In the testing cases of granular systems, SECay and CDCay demonstrate approximately 80% reduction in computational time for the time integration part, compared to the improved predictor–corrector direct multiplication method (IPCDM). Therefore, SECay and CDCay emerge as promising tools for non-spherical DEM simulations.

离散元法(DEM)是对不规则非球形粒子系统进行动态模拟的有力工具。如何在 DEM 中有效地积分众多粒子的旋转运动是一个巨大的挑战。本文基于单位四元数组 S(3) 理论,针对非球形粒子的旋转运动提出了六种显式时间积分算法,包括三种一阶算法和三种二阶算法。所提出的基于 Cayley 映射的算法不包含任何超越函数,具有很高的效率。数值实例凸显了一阶交映欧拉 Cayley 算法(SECay)和二阶中心差分 Cayley 算法(CDCay)在效率和精度方面的优越性。在颗粒系统的测试案例中,与改进的预测器-校正器直接乘法(IPCDM)相比,SECay 和 CDCay 在时间积分部分的计算时间减少了约 80%。因此,SECay 和 CDCay 成为非球形 DEM 仿真的理想工具。
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引用次数: 0
Assessing the effect of layered spatial variability on soil behavior via DEM simulation 通过 DEM 模拟评估分层空间变化对土壤行为的影响
IF 3.3 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-06-18 DOI: 10.1007/s40571-024-00779-y
De-Yun Liu, Han-qiao Che, Ci Wang, Yuan Chen

Motivated by the spatial variability observed in geological profiles, this study explored the feasibility of using discrete element method (DEM) to capture the effect of layered spatial variability into overall soil performance. The spatial variability of packing densities, particle Young’s modulus (E), and frictional properties (μ) within specimens was studied. It was observed that samples with similar overall void ratios exhibited comparable small-strain stiffness and shearing behaviors. In contrast, the coordination number and particle stress transmission demonstrated significant sensitivity to the layer-wise spatial variability in packing densities. Regarding the spatial variability effect of particle-scale E values, this study illustrates that spatial variability strongly affects the stiffness contributions of individual layers. Specifically, layers with higher E values are capable of transferring much stress and stiffness. For the spatial variability effect of frictional property, a degree of consistency in shearing behaviors was observed among specimens with similar average frictional characteristics, while layers with lower frictional property were identified as potential initial failure junctures. Overall, this study validates the utility of employing a DEM code for analyzing both the macroscopic behavior and localized vulnerabilities within complex granular systems, presenting profound implications for engineering practices.

受地质剖面中观察到的空间变异性的启发,本研究探索了使用离散元素法(DEM)捕捉分层空间变异性对整体土壤性能影响的可行性。研究了试样内堆积密度、颗粒杨氏模量(E)和摩擦特性(μ)的空间变化。研究发现,总体空隙率相似的试样表现出相似的小应变刚度和剪切行为。相比之下,配位数和颗粒应力传递对堆积密度的层间空间变化非常敏感。关于颗粒尺度 E 值的空间变异效应,本研究表明,空间变异会强烈影响单个层的刚度贡献。具体来说,E 值较高的层能够传递较大的应力和刚度。在摩擦特性的空间变异效应方面,在平均摩擦特性相似的试样中观察到了一定程度的剪切行为一致性,而摩擦特性较低的层被确定为潜在的初始失效连接点。总之,这项研究验证了使用 DEM 代码分析复杂颗粒系统的宏观行为和局部脆弱性的实用性,并对工程实践产生了深远影响。
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引用次数: 0
Three-dimensional MFBD-DEM coupling simulation of flexible wire mesh wheel–soil over lunar rough terrain 月球崎岖地形上柔性钢丝网轮-土壤的三维 MFBD-DEM 耦合模拟
IF 3.3 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-06-13 DOI: 10.1007/s40571-024-00781-4
Kaidi Zhang, Yunqing Zhang, Jinglai Wu, Junwei Shi
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引用次数: 0
A Cosserat bond-based correspondence model and the investigation of microstructure effect on crack propagation 基于 Cosserat 键的对应模型及微观结构对裂纹扩展影响的研究
IF 3.3 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-06-13 DOI: 10.1007/s40571-024-00785-0
Zhuang Chen, Xihua Chu, Diansen Yang
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引用次数: 0
期刊
Computational Particle Mechanics
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