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The signal delay in the synchronization of nonlinear chains of material particles 非线性物质粒子链同步中的信号延迟
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-05-21 DOI: 10.1007/s40571-025-00974-5
Julijana Simonovic

The dynamics of material particle chains exhibit the interesting property of sub-dynamics interaction. This paper discusses identical synchronization as a potential interaction of these sub-dynamics within the externally excited dynamics of an orthogonal lattice of chained material particles. The coupling elements between the particles possess viscous, linear and/or nonlinear elastic characteristics. One or more particles in the chain are subjected to periodic excitation. The extent of the synchronization effect varies based on the properties of the coupling elements, as well as the position and frequency of the excitations. A multi-parameter analysis was conducted through numerical simulations in the phase space of the output variables of the coupled particles, accompanied by diagrams illustrating synchronization errors. The analysis of signal propagation and delays was derived from the synchronization capabilities of adjacent particles under different external excitation positions and for different lengths of the chains. The time delay of signals was estimated from the synchronization error diagrams by measuring the duration required for transient changes prior to achieving identical and phase synchronization. The time taken for signal travel and delay is influenced by other system parameters. As the values of coupling parameters increase, the time for signal travel also increases. Also, shorter chains achieve faster synchronization, which is crucial for detecting signal transmission speed and delay in lattice of orthogonal chains of material points.

材料粒子链的动力学表现出亚动力学相互作用的有趣性质。本文讨论了相同同步作为这些子动力学在链状材料粒子正交晶格的外部激发动力学中的潜在相互作用。颗粒之间的耦合元件具有粘性、线性和/或非线性弹性特性。链中的一个或多个粒子受到周期性激发。同步效应的程度取决于耦合元件的特性,以及激励的位置和频率。通过数值模拟对耦合粒子输出变量的相空间进行了多参数分析,并附有同步误差图。分析了不同外部激励位置和不同链长下相邻粒子的同步能力对信号传播和延迟的影响。在同步误差图中,通过测量在实现同相同步之前的瞬态变化所需的持续时间来估计信号的时间延迟。信号传输和延迟所花费的时间受系统其他参数的影响。随着耦合参数的增大,信号的传播时间也随之增大。此外,更短的链实现更快的同步,这对于检测材料点正交链晶格中的信号传输速度和延迟至关重要。
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引用次数: 0
Prediction of critical sand production concentration in reservoirs based on stationary bed theory in wellbore 基于井筒固定层理论的油藏临界出砂浓度预测
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-05-21 DOI: 10.1007/s40571-025-00975-4
Shanshan Liu

The sand carrying flow in the wellbore is commonly present in reservoirs that are prone to sand production. Even with sand control devices installed, some sand particles produced from the formation will still be carried to the surface by the fluid. The concentration and particle size distribution of sand in the formation are of great significance for the flow law of sand carrying in the wellbore. In this study, computational fluid dynamics and discrete element method coupled simulation method was established to systematically study the relationship between wellbore sand concentration and formation sand production concentration with different well inclination angles, fluid viscosity, particle size distribution of formation sand, and velocity. Firstly, a study was conducted on the influence of different sensitive parameters such as formation sand particle size distribution, fluid velocity, viscosity, wellbore inclination angle, and sand production concentration on wellbore sand carrying capacity. The influencing factors of wellbore cross section sand concentration were obtained. Then, based on the coordination of two subsystems, the formation fluid supply—sand production system and wellbore sand carrying system, and the relationship between the sand concentration in the heterogeneous suspended layer and the formation sand production concentration, a new method for predicting the critical sand production concentration of reservoirs based on the stationary bed theory is proposed from the perspective of the integration of reservoir—wellbore and sand production—sand carrying.

井筒中的携砂流通常存在于容易出砂的油藏中。即使安装了防砂装置,地层中产生的一些砂粒仍会被流体带到地面。地层中砂的浓度和粒度分布对井内携砂的流动规律具有重要意义。本研究建立了计算流体力学与离散元法耦合模拟方法,系统研究了井筒含砂浓度与地层出砂浓度在不同井斜度、流体粘度、地层砂粒度分布、速度等条件下的关系。首先,研究了地层砂粒度分布、流体速度、粘度、井筒倾角、出砂浓度等不同敏感参数对井筒携砂能力的影响。获得了影响井筒截面含砂浓度的因素。然后,基于地层流体供出砂系统和井筒携砂系统两个子系统的协同作用,以及非均质悬浮层含砂浓度与地层出砂浓度的关系,从储层-井筒和出砂-携砂一体化的角度出发,提出了一种基于固定层理论的储层临界出砂浓度预测新方法。
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引用次数: 0
Numerical analysis of onshore structure and wave-dissipating blocks against water waves by 2D and 3D coupled simulation based on multi-resolution particle method 基于多分辨质点法的二维和三维耦合模拟陆地结构和消波块体对水波的数值分析
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-05-19 DOI: 10.1007/s40571-025-00972-7
Harufumi Sekine, Toshiki Imatani, Daisuke Yamada, Kazuya Shibata, Kenya Takahashi, Hiroshi Sanuki, Kuninori Nagai, Tatsuya Mizuno, Takeshi Nishihata, Hajime Yanagisawa

In this study, we developed a tsunami simulator using a multi-resolution particle method to address complex phenomena such as wave pressure on onshore structures and the stability of wave-dissipating blocks. The multi-resolution method used is the overlapping particle technique (OPT) for multi-resolution simulation of particle methods. In addition, the simulator was enhanced by the introduction of the energy-tracking impulse method, which allows rigid body contact and friction calculations. The OPT-based simulator has been validated in wave and onshore structure impingement simulation and stability analysis of wave-dissipating blocks.

在这项研究中,我们开发了一个海啸模拟器,使用多分辨率粒子方法来解决复杂的现象,如波浪对岸上结构的压力和消波块的稳定性。采用的多分辨率模拟方法是重叠粒子技术(OPT)的多分辨率模拟粒子方法。此外,该模拟器通过引入能量跟踪脉冲方法得到增强,该方法允许计算刚体接触和摩擦。基于opt的模拟器已经在波浪和陆上结构碰撞模拟和消波块体稳定性分析中得到了验证。
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引用次数: 0
Mesoscopic study on seepage mechanism of ecological permeable concrete based on lattice Boltzmann and improved quartet structure generation set mothed 基于格子玻尔兹曼和改进四重奏结构生成集方法的生态透水混凝土渗流机理细观研究
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-05-14 DOI: 10.1007/s40571-025-00963-8
Yujiao Hu, Min Li

Ecological permeable concrete (EPC), as a building material with high permeability and environmental friendliness, has its permeability significantly influenced by its pore structure. To explore the meso-structural characteristics of EPC and its permeability behavior, this study proposes an improved quartet structure generation set (I-QSGS) method to construct a meso-porous medium model that aligns with the characteristics of EPC. This model was then compared with real computed tomography (CT) scan data for validation. Additionally, the Lattice Boltzmann method (LBM) was used to simulate the permeability process of EPC, investigating its anisotropic permeability and the impact of pore structure parameters on permeability. Finally, the Grey Relational Analysis (GRA) was used to analyze the degree of influence of pore structure parameters on permeability. The results demonstrate that the pore structure of the three-dimensional porous medium model shows high similarity with the real pore structure in terms of average roundness distribution (Euclidean distance ξ = 0.162, classified as "Very Similar"). The permeability process of EPC exhibited rapid permeability in the initial phase, slowing down in the middle phase, and stabilizing in the later phase. EPC shows significant anisotropy in permeability, with the permeability in the Z-direction being significantly better than in the X and Y directions. As the pore size decreases, permeability sharply decreases, exhibiting a nonlinear negative correlation between permeability and pore size. Further analysis of the pore-specific surface area and permeability reveals the controlling effect of pore structure complexity on the fluid permeation process. A significant linear relationship was observed between porosity and permeability, with increases in porosity effectively enhancing the material’s permeability, and this enhancement shows a noticeable increment effect. The influence of pore structure parameters on the permeability of EPC is ranked as follows: porosity(n) > pore size (d) > pore-specific surface area (S), with grey relational degrees of 0.7570, 0.7423, and 0.5224, respectively. This indicates that porosity is the key factor determining the permeability of EPC. This study provides a theoretical basis for the design and optimization of EPC and offers data support for its practical application in engineering.

生态透水混凝土(EPC)作为一种具有高渗透性和环境友好性的建筑材料,其渗透性受其孔隙结构的显著影响。为了探究EPC的细观结构特征及其渗透率行为,本研究提出了一种改进的四重奏结构生成集(I-QSGS)方法来构建符合EPC特征的细观多孔介质模型。然后将该模型与真实的计算机断层扫描(CT)数据进行比较以验证。此外,采用晶格玻尔兹曼方法(Lattice Boltzmann method, LBM)模拟了EPC的渗透过程,研究了EPC的各向异性渗透率以及孔隙结构参数对渗透率的影响。最后,利用灰色关联分析(GRA)分析孔隙结构参数对渗透率的影响程度。结果表明,三维多孔介质模型的孔隙结构在平均圆度分布上与真实孔隙结构具有较高的相似性(欧氏距离ξ = 0.162,属于“非常相似”)。EPC的渗透过程表现为初期快速渗透,中期缓慢渗透,后期趋于稳定。EPC渗透率表现出明显的各向异性,z方向渗透率明显优于X和Y方向渗透率。随着孔隙尺寸的减小,渗透率急剧降低,渗透率与孔隙尺寸呈非线性负相关关系。进一步分析孔隙比表面积和渗透率,揭示了孔隙结构复杂性对流体渗透过程的控制作用。孔隙度与渗透率之间存在显著的线性关系,孔隙度的增加有效地提高了材料的渗透率,并且这种增强表现出明显的增量效应。孔隙结构参数对EPC渗透率的影响排序为孔隙度(n) >;孔径(d) >;孔隙比表面积(S),灰色关联度分别为0.7570、0.7423、0.5224。这表明孔隙度是决定EPC渗透率的关键因素。该研究为EPC的设计与优化提供了理论依据,为EPC在工程中的实际应用提供了数据支持。
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引用次数: 0
Investigation on compressive bearing characteristics and load transfer mechanism of a new type of composite pile 一种新型复合桩抗压承载特性及荷载传递机理研究
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-05-11 DOI: 10.1007/s40571-025-00973-6
Yu-liang Yan, Bing-bing Li, Yong-chao Liu, Xiu-feng Liu, Zi-jian Hu, Bo-jun Cui

In this paper, a new type of composite pile called mud absorption (MA) pile was proposed, which is composed of a precast core pile and the paste slurry. Based on the field static load test and three-dimensional coupled discrete element method-finite difference method (DEM-FDM) simulation, the compressive bearing characteristics and load transfer mechanism of the MA pile were investigated. The results indicate the MA pile is the friction pile with higher bearing capacity. The vertical load on the pile top is jointly borne by the core pile and the paste slurry and transferred to the surrounding soil, forming a composite structure with a stiffness gradual that transitions from strong to medium to weak. By monitoring the displacements of the core pile, paste slurry, and the surrounding soil, it has been demonstrated that the core pile and paste slurry work synergistically. This synergy effectively enlarges the pile radius and enhances the bearing capacity of the pile foundation. The effects of paste slurry properties and the ratio of core pile side length to pile diameter on the bearing capacity were finally investigated, providing assistances for the design and application of MA piles.

本文提出了一种由预制芯桩和膏体浆料组成的新型吸泥桩。基于现场静载试验和三维耦合离散元法-有限差分法(DEM-FDM)模拟,对MA桩的压缩承载特性及荷载传递机理进行了研究。研究结果表明,MA桩是具有较高承载能力的摩擦桩。桩顶竖向荷载由芯桩和膏体浆体共同承担,传递给周围土体,形成刚度由强、中、弱逐渐过渡的复合结构。通过对芯桩、膏体浆和周围土体位移的监测,证明了芯桩和膏体浆协同工作。这种协同作用有效地扩大了桩半径,提高了桩基础的承载能力。最后研究了膏体浆体性能和芯桩边长与桩径比对承载力的影响,为复合材料桩的设计和应用提供了依据。
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引用次数: 0
Mechanical properties and numerical simulation of wetting deformation of rockfill materials 堆石料润湿变形力学特性及数值模拟
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-05-07 DOI: 10.1007/s40571-025-00969-2
Rongxian Yang, Lingkai Zhang, Chong Shi, Runhan Zhang

Rockfill dam materials undergo large wetting deformation under the action of water, which leads to uneven settlement of the dam body in the later stage. In this work, on the basis of the discrete element method particle flow code, a triaxial wetting numerical simulation test is carried out to explore the macroscopic mechanical properties of rockfill under wetting and reveal its microscopic deformation and failure mechanism from the macro-mesoscale perspective. The results show the following: (1) The single- and double-line method: according to the test results, there is no significant difference between the single- and double-line methods in terms of the macroscopic stress–strain–volume change and wetting axis-volume change. The particle breakage rate and particle number of the single-line method are greater than those of the double-line method. The corresponding force chain distribution, particle fracture zone position, particle fracture distribution, and displacement field distribution of the single-line method are also more obvious than those of the double-line method, and the wetting path of the single-line method is more in line with the actual situation of the project. (2) Macroscopic law: In numerical tests, wetting deformation increases with increasing stress. The deformation trends observed in the single-line method and the double-line method exhibit similarities. The particle breakage rate associated with the single-line method is 1.48% higher than that of the double-line method, and the increase in particle number is 10% greater compared to the double-line method. Preloading wetting effectively reduces the total deformation of rockfill, and the path of wetting influences the overall deformation to some extent. (3) Microscopic observation: The strong chain density between the particles following wetting exceeds that of the dry particles. A relationship exists between the distribution of particle breakage and the distribution of particle fractures during the wetting process, which shows the occurrence of stress concentration, with the number of cracks in the single-line method significantly exceeding those in the double-line method. The expansion area of the displacement field after wetting is markedly larger than that of the dry sample, and the displacement of particles at both ends of the sample in the single-line method is more pronounced compared to the double-line method. (4) Improving model: the relationship between wetting axial strain and stress level aligns well with an exponential function. The degree of fitting for the linear equation parameters d and f, along with the confining pressure in relation to wetting volumetric strain and wetting stress level, is low. The exponential function relationship is fitted by improving the parameters d and f and the confining pressure, resulting in a higher fitting degree for the improved model curve compared to the original model.

堆石坝材料在水的作用下发生较大的润湿变形,导致后期坝体沉降不均匀。本文基于离散元法颗粒流程序,开展三轴润湿数值模拟试验,探索润湿作用下堆石料的宏观力学特性,从宏观中观角度揭示其细观变形破坏机理。结果表明:(1)单线法和双线法:根据试验结果,单线法和双线法在宏观应力-应变-体积变化和润湿轴-体积变化方面没有显著差异。单线法的颗粒破碎率和颗粒数均大于双线法。单线法对应的力链分布、颗粒断裂带位置、颗粒断裂分布、位移场分布也比双线法更明显,单线法的润湿路径更符合工程实际情况。(2)宏观规律:数值试验中,润湿变形随应力的增大而增大。单线法和双线法观测到的变形趋势具有相似性。单线法的颗粒破碎率比双线法高1.48%,颗粒数量的增加比双线法高10%。预压润湿能有效降低堆石体的总变形,润湿路径对堆石体的总变形有一定影响。(3)显微观察:湿润后颗粒之间的链密度比干燥颗粒强。润湿过程中颗粒破碎分布与颗粒断裂分布之间存在一定的关系,表现为应力集中的发生,且单线法的裂纹数量明显超过双线法。润湿后位移场的扩展面积明显大于干燥样品,单线法中样品两端颗粒的位移比双线法更明显。(4)改进模型:润湿轴向应变与应力水平的关系符合指数函数。线性方程参数d和f以及围压相对于润湿体应变和润湿应力水平的拟合程度较低。通过改进参数d和f与围压的指数函数关系进行拟合,使得改进后的模型曲线拟合程度比原模型更高。
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引用次数: 0
Grain-based modeling of crack propagation and stress evolution in marble under coupled thermo-mechanical condition 热-力耦合条件下大理岩裂纹扩展与应力演化的基于晶粒的模拟
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-05-07 DOI: 10.1007/s40571-025-00956-7
Linfei Wang, Chuanhua Xu, Jun Peng, Bibo Dai, Zixin Wang, Dang Gao

Thermal cracking mechanism is an important topic for better understanding the strength and deformation behavior of rock in high-temperature-associated engineering. To investigate the crack propagation and stress evolution in marble under thermal–mechanical condition, a thermal–mechanical coupling model is developed in a grain-based model (GBM) using distinct element method (DEM). The developed GBM is first verified by comparing results derived from Fourier’s law of heat conduction. The micro-parameters in GBM are then carefully calibrated to match a large amount of macroscopic properties obtained from laboratory test. At last, the calibrated model is utilized to simulate the cracking behavior of a marble model under both thermal and mechanical loadings. The results show that as temperature in the treatment increases, the change in the number of thermally induced cracks exhibits a consistent trend with the variation of strength parameter in the model. In the thermal loading process, grain boundary tensile cracks are dominant among the generated cracks, accounting for more than 85%. The intra-grain tensile cracks gradually increase as the treatment temperature increases. In the mechanical loading process, the failure is tensile-shear mixed mode in thermally damaged model, and shear ratio in the failure mode gradually decreases as the treatment temperature increases. The thermally damaged model exhibits a lower vertical stress and a slower crack propagation rate during the initial loading stage when compared to the results of unheated model. Both the number of micro-cracks and the vertical stress slowly increase during the initial loading stage as the treatment temperature increases. However, as the peak stress is approached, the growth of both micro-crack quantity and vertical stress progressively diminishes. The results in this study improve our understanding of thermal damage mechanism in marble.

热裂机理是高温工程中研究岩石强度和变形特性的一个重要课题。为了研究大理岩在热-力学条件下的裂纹扩展和应力演化,采用离散元法(DEM)建立了基于颗粒模型(GBM)的热-力学耦合模型。首先通过比较傅立叶热传导定律的结果来验证所建立的GBM。然后仔细校准GBM中的微观参数,以匹配从实验室测试中获得的大量宏观特性。最后,利用校正后的模型模拟了大理岩模型在热载荷和机械载荷作用下的开裂行为。结果表明:随着处理温度的升高,热致裂纹数量的变化趋势与模型中强度参数的变化趋势一致;热加载过程中产生的裂纹以晶界拉伸裂纹为主,占85%以上。随着处理温度的升高,晶粒内拉伸裂纹逐渐增多。在机械加载过程中,热损伤模型的破坏模式为拉伸-剪切混合模式,破坏模式中的剪切比随着处理温度的升高而逐渐减小。与未加热模型相比,热损伤模型在初始加载阶段表现出较低的垂直应力和较慢的裂纹扩展速率。在初始加载阶段,随着处理温度的升高,微裂纹数量和竖向应力均呈缓慢增加趋势。然而,随着峰值应力的接近,微裂纹数量和垂直应力的增长都逐渐减小。本研究结果提高了我们对大理岩热损伤机理的认识。
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引用次数: 0
Mechanical characterization of submerged compression in calcareous cemented Xiyu conglomerate 西峪钙质胶结砾岩浸没压缩力学特性
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-05-05 DOI: 10.1007/s40571-025-00971-8
Liang Liu, Jingdong Shen, Chong Shi, Weidong Wu

The Xiyu conglomerate is widely distributed in the north and south of Tianshan Mountain in Xinjiang and has softening characteristics in contact with water. Based on the uniaxial compression test of calcareous cemented Xiyu conglomerate, this paper establishes a particle flow fine-scale model to study the macroscopic mechanical response of rock samples in uniaxial compression test under water immersion and explores the distribution characteristics and evolution law of contact force, cracks and other fine-scale structural parameters of rock samples in the process of the test. The results show that the stress–strain curves of calcareous cemented Xiyu conglomerate samples under water immersion are basically the same, including compression, elasticity, yielding and destruction stages; with the increase in water immersion time, the uniaxial compressive strength and elasticity modulus show a deterioration trend in general, of which the deterioration effect is especially obvious when immersed in water for 7 d. The uniaxial compressive strength and modulus of elasticity show an overall deterioration trend when immersed in water for 7 d, which is the most obvious. The specimens obtained by PFC numerical simulation can represent the macroscopic mechanical properties of calcareous cemented Xiyu conglomerate, and the water immersion effect leads to the gradual deterioration and reduction of the bond strength between particles within the specimen, the non-uniformity is enhanced, and the overall bearing capacity is gradually reduced, and the damage mode is gradually changed from the tensile damage to the tension-shear mixing damage; With the gradual increase of the immersion time, the sudden change points of the number of three types of cracks, namely, total cracks, tensile cracks and shear cracks, within the rock samples corresponded to the damage characteristic points of the macroscopic stress-strain curves, with the tensile cracks always dominating, and the proportion of shear cracks gradually increasing. With the increase in axial load, the number of contact force gradually changes from spherical to spindle-shaped distribution before loading, and its direction is 90° to the loading direction; the number of contact force decreases after the peak, and macroscopically, it is manifested as the sharp decrease in rock bearing capacity and final destruction. The conclusions of the study can provide a reference for the analysis and control of engineering deformation and stability related to the Xiyu conglomerate.

西峪砾岩广泛分布于新疆天山南北,与水接触具有软化特征。本文以西峪砾岩钙质胶结单轴压缩试验为基础,建立颗粒流细尺度模型,研究浸水条件下岩石试样在单轴压缩试验中的宏观力学响应,探索岩石试样在试验过程中的接触力、裂缝等细尺度结构参数的分布特征及演化规律。结果表明:西峪砾岩钙质胶结试样在水浸条件下的应力-应变曲线基本相同,包括压缩、弹性、屈服和破坏阶段;随着浸水时间的增加,单轴抗压强度和弹性模量总体上呈现恶化趋势,其中浸水7 d时恶化效果尤为明显。浸水7 d时,单轴抗压强度和弹性模量整体呈现恶化趋势,其中最明显。PFC数值模拟获得的试件能较好地表征钙质胶结西玉砾岩的宏观力学性能,且水浸效应导致试件内部颗粒间粘结强度逐渐恶化和降低,不均匀性增强,整体承载能力逐渐降低,损伤模式由拉伸损伤逐渐转变为拉剪混合损伤;随着浸泡时间的逐渐增加,岩样内总裂缝、拉伸裂缝和剪切裂缝三种类型裂缝数量的突变点与宏观应力-应变曲线的损伤特征点相对应,拉伸裂缝始终占主导地位,剪切裂缝所占比例逐渐增加。随着轴向载荷的增大,接触力数在加载前逐渐由球形分布变为轴形分布,其方向与加载方向呈90°;接触力次数达到峰值后减小,宏观上表现为岩石承载力急剧下降,最终破坏。研究结论可为西峪砾岩工程变形与稳定的分析与控制提供参考。
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引用次数: 0
Analysis of the particle relaxation method 粒子弛豫法分析
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-05-03 DOI: 10.1007/s40571-025-00965-6
Yu Fan, Xiaoliang Li, Shuoguo Zhang, Xiangyu Hu, Nikolaus A. Adams

We establish a theoretical framework of the particle relaxation method for uniform particle generation of smoothed particle hydrodynamics. We achieve this by reformulating the particle relaxation as an optimization problem. The objective function is an integral difference between discrete particle-based and smoothed-analytical volume fractions, which globally measures zero-order inconsistency in the interior domain. The analysis demonstrates that the particle relaxation method in the domain interior is essentially equivalent to employing a gradient descent approach to solve this optimization problem, and we can extend such an equivalence to the bounded domain by introducing a proper boundary term. Additionally, each periodic particle distribution has a spatially uniform particle volume, denoted as characteristic volume. The relaxed particle distribution has the largest characteristic volume, and the kernel cut-off radius determines this volume. These insights explain the equivalence between uniform particle distributions and optimized zero-order consistency and enable us to control the relaxed particle distribution by selecting the target kernel cut-off radius for a given kernel function.

建立了光滑粒子流体力学均匀粒子生成的粒子松弛法的理论框架。我们通过将粒子弛豫重新表述为优化问题来实现这一点。目标函数是基于离散粒子和光滑分析体积分数之间的积分差,它全局测量内部域的零阶不一致性。分析表明,区域内部的粒子松弛法本质上等价于采用梯度下降法求解该优化问题,并且通过引入适当的边界项,可以将这种等价推广到有界区域。此外,每个周期性粒子分布都有一个空间均匀的粒子体积,称为特征体积。松弛粒子分布具有最大的特征体积,核截止半径决定了该体积。这些见解解释了均匀粒子分布和优化零阶一致性之间的等价性,并使我们能够通过选择给定核函数的目标核截止半径来控制松弛粒子分布。
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引用次数: 0
Modeling and simulating the dynamic behavior of the straw removal process based on a discrete element model with flexible wheat straw 基于柔性麦秸的离散元模型对秸秆脱除过程的动力学行为进行建模与仿真
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-05-03 DOI: 10.1007/s40571-025-00966-5
Jia-Le Song, Wei-Wei Wang, Dong-Bo Xie, Guo-An Zhou, Gang Zhao, Li-Qing Chen

The removal of straw from the seed bed to the inter-row prior to sowing maize is a critical agricultural practice. However, this process is inherently uncertain due to the variability in straw displacement. To investigate this interaction, this study developed a flexible straw model utilizing a discrete element approach, employing hollow cylinders to linearly connect the particles. Experiments were conducted to ascertain the mechanical properties of the flexible straw, with a focus on its biological and mechanical parameters. Subsequently, a full-coverage soil bin model of wheat straw was established to simulate the straw removal process, enabling the analysis of the interaction between the removal device and the straw during operation. The results indicate that varying operating speeds significantly enhance the influence of the straw removal device on the straw, thereby improving the straw removal rate. The maximum relative error of the traction force required for both simulation and experimental testing was found to be 21.27%. Additionally, a combined device was employed to simulate the straw removal process, with straw disturbance analyzed in both paired and single-direction scenarios. Finally, by comparing simulation results with bench test outcomes, the established model demonstrated a high degree of accuracy in simulating the straw displacement process. This research provides a valuable reference for the development of discrete element models for other crops and for enhancing the efficiency of straw removal devices.

玉米播种前将秸秆从种床移至行间是一项重要的农业实践。然而,由于秸秆位移的可变性,这一过程本身具有不确定性。为了研究这种相互作用,本研究利用离散元方法开发了一个柔性吸管模型,采用空心圆柱体线性连接颗粒。通过实验确定了柔性吸管的力学性能,重点研究了其生物学和力学参数。随后,建立麦秸全覆盖土仓模型,模拟秸秆脱除过程,分析脱除装置与秸秆在运行过程中的相互作用。结果表明,不同的操作速度可显著增强秸秆脱除装置对秸秆的影响,从而提高秸秆脱除率。仿真和实验测试所需牵引力的最大相对误差为21.27%。此外,采用组合式装置模拟秸秆去除过程,分析了秸秆在成对和单向两种情况下的扰动。最后,将模拟结果与台架试验结果进行比较,表明所建立的模型在模拟秸秆位移过程中具有较高的准确性。该研究为其他作物离散元模型的建立和秸秆脱除装置效率的提高提供了有价值的参考。
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Computational Particle Mechanics
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