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Simulation of surface deposits of micron sand particles in the internal cooling duct with a Gaussian probability density model 利用高斯概率密度模型模拟内部冷却管道中微米级沙粒的表面沉积情况
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-03-22 DOI: 10.1007/s40571-024-00731-0

Abstract

Fine particles of ash and sand can deposit on the surfaces of cooling ducts, diminishing heat transfer efficiency and threatening the operation of turbine engines. The surface roughness of deposits can alter the nearby flow dynamics, and result in changes of subsequent particle collision and deposition. In this work, the effects of rib turbulence on particle deposition in cooling duct are numerically studied based on the wall modeled shear stress transport k–ω model with a UDF code correction for particle–wall impacts and the discrete particle model. A Gaussian probability density function is adopted to give the topology of deposited particles on the surface impacted by micron particles. We investigate how variables such as particle diameter and temperature impact collision and deposition processes. Additionally, the impact of ribbed turbulence on particle deposition is also discussed. The findings indicate that the impact ratio increases with particle diameter while exhibiting less sensitivity to temperature. Deposition ratios experience a significant decrease when particle size exceeds 1 μm. The temperature of the particles has a noteworthy influence on surface profile of deposits. Specifically, deposits on the wall surface, where particles are introduced by fluid injection, tend to assume a crane-like shape as the temperature rises. Notably, a more uniform deposition pattern is achieved when the particle temperature is low. In terms of particle distribution, low-velocity particles are more likely to accumulate in the windward region of the rib, especially at the junction of the rib wall, where the maximum deposition height is observed. Furthermore, deposits on the rib surface tend to grow, and the gap between the peak and valley widens as the particle temperature increases, as evident from the roughened rib surface features.

摘要 灰尘和沙子等细小颗粒会沉积在冷却管道表面,降低传热效率,威胁涡轮发动机的运行。沉积物的表面粗糙度会改变附近的流动动力学,并导致随后的颗粒碰撞和沉积发生变化。在这项工作中,基于壁面模型剪应力传输 k-ω 模型和 UDF 代码修正的颗粒-壁面撞击以及离散颗粒模型,对冷却管道中肋湍流对颗粒沉积的影响进行了数值研究。采用高斯概率密度函数给出了微米颗粒撞击表面沉积颗粒的拓扑结构。我们研究了粒子直径和温度等变量如何影响碰撞和沉积过程。此外,我们还讨论了带肋湍流对颗粒沉积的影响。研究结果表明,碰撞率随颗粒直径的增加而增加,但对温度的敏感性较低。当颗粒大小超过 1 μm 时,沉积率会显著下降。颗粒的温度对沉积物的表面轮廓有显著影响。具体来说,壁面上的沉积物(颗粒通过流体注入的方式进入壁面)随着温度的升高往往会呈现出起重机的形状。值得注意的是,当颗粒温度较低时,沉积模式会更加均匀。从颗粒的分布来看,低速颗粒更容易在肋骨的迎风区域堆积,尤其是在肋骨壁的交界处,因为在这里可以观察到最大的沉积高度。此外,肋骨表面的沉积物有增加的趋势,随着颗粒温度的升高,峰谷之间的差距也会扩大,这一点从肋骨表面粗糙化的特征可以看出。
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引用次数: 0
Simulation of viscoelastic free-surface flows with the Particle Finite Element Method 用粒子有限元法模拟粘弹性自由表面流动
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-03-22 DOI: 10.1007/s40571-024-00730-1
Giacomo Rizzieri, Liberato Ferrara, Massimiliano Cremonesi

Viscoelastic fluids are central in numerous applications from polymer manufacturing to the pharmaceutical industry and biological research. However, since analytical solutions are generally not available or too complex, it is common practice to study free-surface viscoelastic flows through numerical simulation techniques. This work proposes the use of the so-called particle finite element method (PFEM), a Lagrangian approach combining standard FEM techniques with a remeshing strategy. The PFEM is able to efficiently handle mesh distortion and to accurately track the free-surface evolution. Therefore, it is exploited in this work to deal with large displacements problems in the context of nonlinear viscoelasticity. An implementation of the Oldroyd-B constitutive model in the PFEM framework is here presented including details regarding how to deal with the transfer of the internal variables during remeshing events. Additionally, an innovative approach to impose unilateral Dirichlet boundary conditions ensuring optimal mass conservation is presented. The implementation is verified with two free-surface highly viscous benchmark flows: the impacting drop and the jet buckling problems. The results show perfect agreement with those obtained with other numerical techniques. The proposed framework opens the way for using PFEM in various applications, ranging from polymer extrusion to more sophisticated scenarios involving viscoelastic and viscoelasto-plastic constitutive laws.

粘弹性流体是聚合物制造、制药业和生物研究等众多应用领域的核心。然而,由于一般无法获得分析解决方案或解决方案过于复杂,通常的做法是通过数值模拟技术来研究自由表面粘弹性流体。本研究提出使用所谓的粒子有限元法(PFEM),这是一种将标准有限元技术与重网格策略相结合的拉格朗日方法。PFEM 能够有效处理网格畸变,并准确跟踪自由表面的演变。因此,本研究利用它来处理非线性粘弹性背景下的大位移问题。本文介绍了在 PFEM 框架中实施 Oldroyd-B 构成模型的方法,包括如何在重塑事件中处理内部变量转移的细节。此外,还介绍了一种施加单边 Dirichlet 边界条件以确保最佳质量守恒的创新方法。我们用两个自由表面高粘度基准流验证了该方法的实施:冲击液滴和射流降压问题。结果显示与其他数值技术的结果完全一致。所提出的框架为在各种应用中使用 PFEM 开辟了道路,从聚合物挤出到涉及粘弹性和粘弹性-塑性构成定律的更复杂情况。
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引用次数: 0
Determination of the influence of particle spatial distribution and interface heterogeneity on tensile fracture of ordinary refractory ceramics by applying discrete element modelling 应用离散元素模型确定颗粒空间分布和界面异质性对普通耐火陶瓷拉伸断裂的影响
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-03-21 DOI: 10.1007/s40571-024-00716-z

Abstract

The microstructures and local characteristics of ordinary refractory ceramics are heterogeneous. The discrete element (DE) method was used to consider the variation in particle spatial distributions and statistically distributed interface properties (uniform, Weibull) between elements. In addition, three Weibull distributions with different shape parameters were evaluated. A uniaxial tensile test was used to study the effects of particle spatial distributions and interface property distributions on the stress–strain curve, tensile strength, and crack propagation. The results of the test show that the particle spatial distribution significantly influences crack propagation and fracture patterns, and the interface condition plays an important role in mechanical responses, crack propagation, and fracture mechanisms and patterns. The discrete element modelling of uniaxial tensile and compressive tests shows that brittle materials exhibit asymmetric mechanical responses to compression and tension loading including static Young’s modulus.

摘要 普通耐火陶瓷的微观结构和局部特性是异质的。采用离散元素(DE)方法考虑了粒子空间分布的变化和元素间统计分布的界面特性(均匀分布、Weibull 分布)。此外,还评估了三种具有不同形状参数的 Weibull 分布。利用单轴拉伸试验研究了颗粒空间分布和界面属性分布对应力-应变曲线、拉伸强度和裂纹扩展的影响。试验结果表明,颗粒空间分布对裂纹扩展和断裂模式有显著影响,界面条件对力学响应、裂纹扩展、断裂机制和模式起着重要作用。单轴拉伸和压缩试验的离散元建模表明,脆性材料对压缩和拉伸加载(包括静态杨氏模量)表现出不对称的机械响应。
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引用次数: 0
Deformation features of high-pressure rotary pile reinforced strata by discrete lattice spring modeling (DLSM) 通过离散格构弹簧模型(DLSM)分析高压旋喷桩加固地层的变形特征
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-03-20 DOI: 10.1007/s40571-024-00733-y
Xuxin Chen, Xiaodong Zhu, Hui Xu, Xingyu Zhang

Tunnel excavation in weak surrounding rock areas is prone to landslide accidents, and the use of high-pressure rotary piles to pre-strengthen the soil in the local area can enhance the strength and bearing capacity of the surrounding rock. Discrete lattice spring model is established with the three-dimensional morphology modeling system of the rotary pile reinforcement. It is used to quantitatively characterize the reinforcement effects of high-pressure rotary piles, to analyze the influence of the reinforcement ratio and reinforcement function. The results show that compared with the deformation of unreinforced stratum, the high-pressure rotary pile can better control the ground surface settlement. The larger the reinforcement ratio is, the better the reinforcement effect of the rotary spray pile is, especially with the increase in reinforcement ratio, the contact between individual piles bites to form a row of piles, which can significantly improve the ability of the formation to resist deformation. Under the same reinforcement situation, the square root type reinforcement function has the best reinforcement effect, the line function has the middle reinforcement effect, and the quadratic type reinforcement function has the worst effect.

在围岩软弱地区进行隧道开挖容易发生滑坡事故,利用高压旋喷桩对局部地区的土体进行预加固,可以提高围岩的强度和承载力。利用旋喷桩加固的三维形态建模系统建立了离散格构弹簧模型。该模型用于定量表征高压旋喷桩的加固效果,分析加固比和加固功能的影响。结果表明,与未加固地层的变形相比,高压旋喷桩能更好地控制地表沉降。加固比越大,旋喷桩的加固效果越好,特别是随着加固比的增大,单桩之间的接触咬合形成排桩,可显著提高地层抵抗变形的能力。在相同的加固情况下,平方根型加固函数的加固效果最好,线型加固函数的加固效果居中,二次型加固函数的加固效果最差。
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引用次数: 0
Acoustic emission and breakage mechanism analysis on gypsum-filled granite specimens with varying notch dimensions under uniaxial compression testing 单轴压缩试验下不同缺口尺寸石膏填充花岗岩试样的声发射和破损机理分析
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-03-20 DOI: 10.1007/s40571-024-00738-7
Jinwei Fu, Vahab Sarfarazi, Hadi Haeri, Saeed Delfan, Reza Bahrami, Xiao Wang

This research investigates how inserting notched gypsum filling between granite specimens affects their breakage under uniaxial compressive testing. Various thicknesses of gypsum filling slabs were placed between granite specimens, incorporating different dimensions and notch configurations. The investigated parameters include elastic modulus, Poisson’s ratio, uniaxial compressive strength, and Brazilian tensile strength of 5 GPa, 0.18, 7.4, and 1 MPa, respectively. Compression testing, at an axial load rate of 0.05 mm/min, was conducted on a total of 9 different models. Numerical simulations were performed on models with notched gypsum filling, varying thicknesses, and notch angles using Particle Flow Code in 2D. The results demonstrated that breakage behavior was primarily influenced by filling thickness and notch angle. The uniaxial compressive strengths in samples were found to be affected by fracture patterns and the breakage mechanism of the filling. The study revealed that the behavior of discontinuities is influenced by the number of induced tensile cracks, which increase with thicker filling. Acoustic emission (AE) hits during loading’s initial phase, a rapid increase in AE hits before the applied stress reached its peak, and significant AE hits accompanying each stress drop were observed. The breakage patterns and strengths were found to be similar in both experimental and numerical approaches.

这项研究探讨了在花岗岩试样之间插入带凹槽的石膏填充物如何影响其在单轴抗压试验下的断裂。在花岗岩试样之间放置了不同厚度的石膏填充板,并采用了不同的尺寸和缺口配置。研究参数包括弹性模量、泊松比、单轴抗压强度和巴西抗拉强度,分别为 5 GPa、0.18、7.4 和 1 MPa。以 0.05 毫米/分钟的轴向载荷速率对总共 9 个不同模型进行了压缩测试。使用二维粒子流代码对石膏填充缺口、不同厚度和缺口角度的模型进行了数值模拟。结果表明,破损行为主要受填充厚度和缺口角度的影响。样品的单轴抗压强度受断裂模式和填充物断裂机制的影响。研究表明,不连续性的行为受诱导拉伸裂纹数量的影响,而诱导拉伸裂纹数量随填充厚度的增加而增加。在加载的初始阶段观察到了声发射(AE),在施加的应力达到峰值之前,声发射迅速增加,并且每次应力下降都伴随着显著的声发射。实验和数值方法发现断裂模式和强度相似。
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引用次数: 0
Dynamic mechanical behavior of frozen soil using smoothed particle hydrodynamics 利用平滑颗粒流体力学研究冻土的动态力学行为
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-03-19 DOI: 10.1007/s40571-024-00736-9
Mao Wang, Zhiwu Zhu, Yue Ma, Tao Li

With the increasing number of projects in cold regions and the widespread use of artificial freezing methods, conducting research on the dynamic properties of frozen soil has become a considerable issue that cannot be avoided in permafrost engineering. Currently, the numerical simulation research on the dynamic mechanical behavior of frozen soil is less concerned with the changes in stress, strain, and particle damage inside the material. The necessary conditions for conducting this study are compatible with the core idea of smooth particle hydrodynamics (SPH). In this study, the Eulerian SPH method was modified to address numerical oscillations and errors in solid mechanics, particularly impact dynamics problems. A numerical scheme for simulating the split Hopkinson pressure bar test was developed within the modified Eulerian SPH framework and implemented using self-programming. The frozen soil dynamic mechanical behavior was simulated under three strain rates. The accuracy and superiority of the SPH method were verified through calculations and experiments. The simulation captures the stress and strain responses within the sample at different moments during the impact process, indicating that the frozen soil strain rate-strengthening effect resulted from microcrack expansion and inertial effects.

随着寒冷地区工程项目的不断增加和人工冻结方法的广泛应用,开展冻土动力特性研究已成为冻土工程中不可回避的重要问题。目前,对冻土动态力学行为的数值模拟研究较少关注材料内部应力、应变和颗粒破坏的变化。开展这项研究的必要条件与光滑粒子流体力学(SPH)的核心思想相一致。本研究对欧拉 SPH 方法进行了修改,以解决固体力学中的数值振荡和误差问题,特别是冲击动力学问题。在修改后的欧拉 SPH 框架内开发了模拟霍普金森压力棒分裂试验的数值方案,并通过自编程实现。模拟了三种应变速率下的冻土动态力学行为。通过计算和实验验证了 SPH 方法的准确性和优越性。模拟捕捉到了冲击过程中不同时刻样品内部的应力和应变响应,表明冻土应变速率加固效应来自微裂缝扩展和惯性效应。
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引用次数: 0
Numerical study of rock bridge shape identification and rock bridge damage mechanism 岩桥形状识别和岩桥破坏机理的数值研究
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-03-17 DOI: 10.1007/s40571-024-00732-z
Yi Tang, Hang Lin, Su Li, Yifan Chen, Ke Ou, Linglin Xie

Rock bridges are important structures for maintaining rock mass stability, but their shapes are not well known. The researchers propose a method for determining the shape of rock bridges based on experiments, discrete element methods and machine learning, which is applicable to complex joints with arbitrary spatial distribution. Numerical models are constructed using the discrete element method, and parameter matching is performed based on experimental results. The particles were clustered using the k-means algorithm with the maximum principal stress (σ1) as an indicator and the selection of initial values was optimized. The density-based spatial clustering of applications with noise (DBSCAN) algorithm was used to delete the noise from the particles. Finally, the boundary lines of the particles were extracted by self-programming, and the shape of the rock bridges was determined. Twenty-four sets of simulations were used to analyze the effect of rock bridges on the specimens. The results show that the failure mode of the specimen changes from shear to tensile damage as the cohesive force of the rock bridges increases. The peak strength and peak strain of the specimens increased with the increase of cohesion in the rock bridge. Rock bridges are the fastest growing areas of stress in the specimen.

岩桥是维持岩体稳定的重要结构,但其形状并不为人所知。研究人员提出了一种基于实验、离散元方法和机器学习的岩石桥梁形状确定方法,该方法适用于具有任意空间分布的复杂节理。使用离散元方法构建了数值模型,并根据实验结果进行了参数匹配。以最大主应力(σ1)为指标,使用 k-means 算法对粒子进行聚类,并对初始值的选择进行了优化。使用基于密度的带噪声应用空间聚类(DBSCAN)算法来删除颗粒中的噪声。最后,通过自编程提取了颗粒的边界线,并确定了岩桥的形状。通过 24 组模拟分析了岩桥对试件的影响。结果表明,随着岩桥内聚力的增加,试样的破坏模式由剪切破坏转变为拉伸破坏。试样的峰值强度和峰值应变随着岩石桥梁内聚力的增加而增加。岩桥是试样中应力增长最快的区域。
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引用次数: 0
Hybrid Lattice-discrete element method for ballast modeling 用于压载建模的网格-离散元素混合法
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-03-07 DOI: 10.1007/s40571-024-00723-0

Abstract

Railway ballast modeling can be performed by different approaches, through continuous or discrete models, which have their comparative advantages and disadvantages, such as excessive volumes of material for testing and calibration steps. This paper aims to adapt and propose the use of the Hybrid Lattice-Discrete Element Method for modeling railway ballast aggregates. The advantages of using this technique for this purpose are: (i) one-step calibration of the rock material from laboratory test results; (ii) simulation of fractures in rock materials; (iii) visualization of micromechanical phenomena, such as particle slippage and fracture modes; (iv) realistic representation of various geometries compared to the conventional use of the Discrete Element Method. First, parameter calibration was performed from laboratory test results on granite rock obtained from the literature. Then, particle generation, Voronoi discretization and packing algorithms were used to build models of railway ballast samples. These models were used to simulate mechanical tests, namely single particle compression, confined uniaxial compression, monotonic triaxial compression and cyclic triaxial compression. There was consistency between the results and the empirical observations reported in the literature. In addition, variations in particle size distribution were observed during the simulations, as well as the causes of failure in each specimen, either by shear or particle breakage, in addition to the fracture modes of the ballast aggregates. By analyzing these elements together, knowledge is obtained about the phenomena occurring inside the railway ballast under different loading conditions, in addition to the results of strength, failure and deformation. Finally, it is concluded that the proposed method is effective for modeling railway ballast, besides being versatile, allowing to simulate the material for different loading configurations and boundary conditions.

摘要 铁路道碴建模可通过连续或离散模型等不同方法进行,这些方法各有优缺点,如测试和校准步骤的材料量过大。本文旨在调整并建议使用网格-离散元素混合法为铁路道碴集料建模。使用该技术的优势在于(i) 根据实验室测试结果对岩石材料进行一步校准;(ii) 模拟岩石材料中的裂缝;(iii) 微机械现象可视化,如颗粒滑动和断裂模式;(iv) 与传统的离散元素法相比,可真实地表示各种几何形状。首先,根据从文献中获得的花岗岩石实验室测试结果进行参数校准。然后,使用颗粒生成、沃罗诺离散化和堆积算法建立铁路道碴样本模型。这些模型用于模拟机械测试,即单颗粒压缩、约束单轴压缩、单调三轴压缩和循环三轴压缩。试验结果与文献报道的经验观察结果一致。此外,在模拟过程中还观察到了颗粒大小分布的变化,以及每个试样的破坏原因(剪切或颗粒断裂)和压载集料的断裂模式。通过对这些要素进行综合分析,可以了解铁路道碴在不同加载条件下的内部现象,以及强度、破坏和变形的结果。最后,得出的结论是,所提出的方法对铁路道碴建模非常有效,而且用途广泛,可以模拟不同加载配置和边界条件下的材料。
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引用次数: 0
Research on the deformation and damage process of crushed-rock highway embankment in permafrost areas 冻土地区碎石公路路堤变形与破坏过程研究
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-03-06 DOI: 10.1007/s40571-024-00728-9
Runmin Zhao, Shuangjie Wang, Xiaoming Huang, Tao Ma, Jianbing Chen, Haoyuan Luo

Since most of the current researches on the crushed-rock interlayer for highway embankment in permafrost region are based on thermal properties, there are few studies on their mechanical deformation characteristics. In order to study the deformation and failure process of crushed-rock interlayer under the long-term settlement deformation of permafrost foundation and to fully consider the discrete characteristics of the crushed-rock interlayer, the finite element model and discrete element model were coupled in this study to accomplish the numerical calculation of long-term settlement deformation of crushed-rock interlayer highway embankment as well as permafrost foundation. The results show that as for the granite blocks adopted in the Gonghe–Yushu expressway, the blocks in the interlayer would be rarely broken, and the deformation of crushed-rock interlayer is mainly caused by the relative movement and rearrangement of the blocks. Based on the calculation results, it is suggested to adopt the uncompacted randomly piled crushed-rock interlayer, which is composed of crushed blocks with more sharp corners. When the size of block varies from 20 to 40 cm, the block size has no obvious effect on the deformation of crushed-rock interlayer, and therefore, the block size could be determined only by the cooling effect of crushed-rock interlayer. At the meantime, the structure layer above the crushed-rock interlayer should also be rigid enough to ensure a smaller uneven settlement value for the superstructure.

由于目前对冻土地区公路路堤用碎石夹层的研究大多基于热工特性,对其力学变形特性的研究较少。为了研究碎石夹层在冻土地基长期沉降变形作用下的变形和破坏过程,并充分考虑碎石夹层的离散特性,本研究将有限元模型和离散元模型耦合,完成了碎石夹层公路路堤以及冻土地基长期沉降变形的数值计算。结果表明,对于共和至玉树高速公路采用的花岗岩砌块,夹层中的砌块很少发生破碎,碎石夹层的变形主要由砌块的相对运动和重新排列引起。根据计算结果,建议采用无压实随机堆积碎石夹层,该夹层由尖角较多的碎石块组成。当砌块尺寸在 20 至 40 cm 之间时,砌块尺寸对碎石夹层变形的影响不明显,因此只能根据碎石夹层的冷却效果来确定砌块尺寸。同时,碎石夹层上方的结构层也应具有足够的刚度,以确保上部结构的不均匀沉降值较小。
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引用次数: 0
Kinetic modeling of dust grain dynamics in electrostatic sieving 静电筛分过程中尘粒动力学建模
IF 3.3 3区 工程技术 Q1 Mathematics Pub Date : 2024-03-05 DOI: 10.1007/s40571-024-00729-8
Aaron Berkhoff, Easton Ingram, Fateme Rezaei, Jeffrey Smith, David Bayless, William Schonberg, Daoru Han

A new kinetic particle modeling framework was developed to investigate electrostatic transport of lunar regolith dust particles with applications to the concept of electrostatic sieving. The new approach is based on kinetic particle dynamics and includes major modules of sampling the particle size distribution, solving electric fields, and tracking motion of charged dust grains. A case study for a concept of electrostatic sieving was chosen to validate the new model. The simulation achieved similar performance of particle size classification as reported in the literature. The new model is computationally efficient (takes a few minutes on a PC-type laptop computer) so that researchers can use it as a design and analysis tool to explore large parameter space for system optimization.

开发了一种新的动力学粒子建模框架,用于研究月球碎屑尘粒的静电传输,并将其应用于静电筛分概念。新方法以动力学粒子动力学为基础,包括粒度分布采样、电场求解和带电尘粒运动跟踪等主要模块。为验证新模型,选择了一个静电筛分概念的案例研究。模拟实现了与文献报道类似的粒度分类性能。新模型的计算效率很高(在 PC 型笔记本电脑上只需几分钟),因此研究人员可将其用作设计和分析工具,探索系统优化的大参数空间。
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引用次数: 0
期刊
Computational Particle Mechanics
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