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Quantitative analysis of grain size effect on tensile mechanical behavior of granite based on multi-level force chain networks 基于多级力链网络的晶粒尺寸对花岗岩拉伸力学行为影响的定量分析
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-16 DOI: 10.1007/s40571-024-00790-3
Wei Li, Liyuan Yu, Tao Zhang, Haijian Su, Xianzhen Mi, Doudou Fan, Bao Jin

A three-dimensional grain-based model based on the discrete element method is proposed for reconstructing the filling and grouping of minerals in granite, then a batch of numerical disc specimens with different grain sizes RG are subjected to the Brazilian splitting test. In addition, the force chain networks in the numerical samples are subjected to multi-level classification and quantitative analysis, and the grain size effect on the tensile mechanical behavior of granite is discussed from the perspective of force chain networks. The results show that the mechanical properties and micro-cracking behavior of fine- and coarse-grained samples obtained experimentally and from simulation are consistent, including the load–displacement curve, the peak load, the failure displacement, and the proportion of intergranular/transgranular cracks. Therefore, the reliability of the model is verified. As RG increases, the number of intragranular contacts increases, while the number of intergranular contacts decreases. The bearing capacity and deformation resistance of the samples increase. As RG increases, both the number and sum of force chains for intragranular structures increase gradually, while these two parameters for intergranular structures decrease; meanwhile, the average values for intragranular and intergranular structures increase with increasing RG. As RG continues to increase, the number of contacts within mineral grains capable of withstanding external loads increases, forming a robust force chain network to bear external loads. It becomes challenging for a low-level load to break the contacts within the mineral, leading to an increase in the sample’s load-bearing capacity.

提出了一种基于离散元法的三维晶粒模型,用于重建花岗岩中矿物的填充和分组,然后对一批不同晶粒尺寸 RG 的数值圆盘试样进行了巴西劈裂试验。此外,还对数值试样中的力链网络进行了多级分类和定量分析,并从力链网络的角度讨论了晶粒尺寸对花岗岩拉伸力学行为的影响。结果表明,实验和模拟得到的细粒样品和粗粒样品的力学性能和微裂纹行为是一致的,包括载荷-位移曲线、峰值载荷、破坏位移和晶间/跨晶粒裂纹比例。因此,模型的可靠性得到了验证。随着 RG 的增加,晶内接触数量增加,而晶间接触数量减少。样品的承载能力和抗变形能力也随之提高。随着 RG 的增加,粒内结构的力链数量和力链总和逐渐增加,而粒间结构的这两个参数逐渐减少;同时,粒内结构和粒间结构的平均值随着 RG 的增加而增加。随着 RG 的不断增加,矿物晶粒内部能够承受外部载荷的接触点数量也会增加,从而形成一个强大的力链网络来承受外部载荷。低级荷载要破坏矿物内部的接触点变得非常困难,从而提高了样品的承载能力。
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引用次数: 0
Solving nonlinear Fisher–Kolmogorov–Petrovsky–Piskunov equation using two meshless methods 用两种无网格方法求解非线性 Fisher-Kolmogorov-Petrovsky-Piskunov 方程
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-16 DOI: 10.1007/s40571-024-00794-z
J. J. Benito, A. García, M. Negreanu,  F. Ureña, A. M. Vargas

This paper explores the numerical solution of the Fisher–Kolmogorov–Petrovsky–Piskunov (FKPP) equation through two meshless methods: a space–time cloud method and an explicit method employing generalized finite difference formulas (GFDM). The efficacy of the space–time cloud method in addressing this equation is demonstrated, and a comparative analysis with the results obtained from the explicit method using GFDM is conducted. The findings suggest that the space–time finite difference method delivers precise and stable solutions for the Fisher–KPP equation.

本文通过两种无网格方法:时空云方法和采用广义有限差分公式(GFDM)的显式方法,探讨了Fisher-Kolmogorov-Petrovsky-Piskunov (FKPP)方程的数值解。论证了时空云方法求解该方程的有效性,并与使用GFDM的显式方法得到的结果进行了比较分析。研究结果表明,时空有限差分方法为Fisher-KPP方程提供了精确和稳定的解。
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引用次数: 0
Integrating ISPH simulations and artificial neural networks for simulating free surface flow over various porous media on slopes 整合 ISPH 模拟和人工神经网络,模拟斜坡上各种多孔介质上的自由表面流动
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-15 DOI: 10.1007/s40571-024-00796-x
Sang-Wook Lee, Munirah Alotaibi, Abdelraheem M. Aly

Many landslides occur on the slopes due to heavy rainfalls that are considered a major triggering reason. It is a novel study on simulating flood flow over a slope inside a partial layer of different porous structures. This work will serve in constructing the flood defense, coastal area defense, and preventing massive landslides. The mesh-free nature of the incompressible smoothed particle hydrodynamics (ISPH) method helps in handling the large deformation of nonlinear free surface flow over different porous structures. The ISPH simulation and the artificial neural network (ANN) model are used to anticipate wavefront tracking of dam breach flow over different porous materials. The precise alignment of the ANN model prediction values with the goal values shows that the current ANN model can accurately estimate wavefront tracking. The linear and nonlinear factors of non-Darcy porous media are applied in the momentum equation. The dam break over a porous structure in the horizontal plane is tested compared to the experimental data by the current scheme of the ISPH method. This test gives confidence in the adopted ISPH method. The simulations revealed that the porosity parameter plays a significant role in shrinking the wavefront of dam break over slopes. Once the fluid flow reaches a porous structure at approximately (t = 0.25) sec, the maximum velocity of the fluid decreases from (555) m/s to (30) m/s by (t = 4.0) sec. Physically, the reduction in porosity parameter enhances the porous resistance which slows down the free surface flow in the porous structures.

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引用次数: 0
Experimental and numerical study of shear behavior of concrete–soft rock interface: with approach of concrete penetration in rock cavities 混凝土-软岩界面剪切行为的实验和数值研究:以混凝土在岩洞中的渗透为切入点
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-15 DOI: 10.1007/s40571-024-00802-2
Vahab Sarfarazi, Ali Ahmadian Saleh, Jinwei Fu, Hadi Haeri, Mina Tahmasebi Moez, Ali Moayer, Naser Golsanami

In this study, the shear behavior of the concrete-soft rock interface was simulated using PFC3D software and the results were compared with physical tests. While the interface between concrete and rocks has different geometries, concrete also penetrates the voids of the rock. The concrete and gypsum had tensile strengths of 1.2 MPa and 0.51 MPa, respectively. Samples with dimensions of 15 cm × 15 cm × 5 cm containing plaster and concrete layers were made. Concrete is located in the middle part of the sample, and its two sides are surrounded by plaster so that the concrete can penetrate the plaster. Nine different geometries for the concrete–rock interface were chosen i.e., the asymmetric zigzag interface, non-asymmetric zigzag interface, and planar interface. Nine different geometries for the concrete–rock interface were obtained by changing the concrete teeth height, concrete teeth base, and teeth angles. At the fixed interface, concrete penetrated into plaster in one, two, and three channels from each side. Twenty-seven different models are prepared. Samples using special templates, have been replaced in the UCS device and were tested under punch shear loading. Simultaneously by conducting experiments, numerical simulation was done. In such a way that the model and PFC software are calibrated and then numerical modeling of common shear behavior of concrete and rock takes place. The results showed that the fracture pattern of the rock-concrete interface was affected by concrete teeth geometry. In the samples without concrete teeth, a tensile fracture occurs at the interface; but with increasing roughness angle, in addition to tensile fracture, tensile cracks are formed at the tip of the roughness in the sample. By increasing the angle from 0 to 30, the number of tensile cracks in the sample increases. By increasing the concrete injection channels in the rock, the final fracture pattern does not change but crack initiation stress, shear stiffness, and final stress were increased. There is a good match between the experimental and numerical results.

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引用次数: 0
Investigation of the parallel gradation method based on response of ballast penetration into subgrade soil by discrete element method 基于离散元法对路基土中压载物渗透响应的平行分级法研究
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-11 DOI: 10.1007/s40571-024-00795-y
Jie Zhang, Rusong Nie, Yongchang Tan, MaoTong Huang, Yafeng Li, Yipeng Guo

Treating ballast and subgrade soil as an integrated unit for sampling and loading has proven to be an effective method for investigating the interaction between ballast and subgrade soil. Given that direct testing of specimens containing large ballast is constrained by the capabilities of standard laboratory equipment, adopting a model material of smaller size is recommended. Parallel gradation method is widely used for this purpose. This study performed an evaluation of parallel gradation method based on the response of ballast penetration into subgrade soil. Discrete element models were developed to simulate the penetration of crushed ballast, featuring three different parallel gradations, into subgrade soil. On this basis, dynamic triaxial simulations were conducted on these models. By comparing the macroscopic and mesoscopic mechanical characteristics at different scaling ratio, the applicability of the parallel gradation method for assessing ballast penetration into subgrade soil was evaluated. At the macroscopic scale, the scaling ratio of crushed ballast significantly influences the axial, volumetric, and lateral deformations observed during penetration into subgrade soil. Specifically, a smaller average grain size of ballast correlates with reduced deformations in these specimens. The penetration of crushed ballast into subgrade soil significantly increases the porosity of subgrade soil, particularly at the interface between ballast and subgrade. This increase in porosity is more pronounced with larger average grain sizes of ballast. At the mesoscopic scale, larger average grain sizes of ballast lead to more localized high contact forces and more significant stress concentrations. The parallel gradation method substantially affects the mechanical properties of ballast penetration into subgrade soil, at both macroscopic and mesoscopic scales. Therefore, a cautious approach is necessary when relying on this method for precise assessments.

事实证明,将道碴和路基土作为一个整体进行取样和加载是研究道碴和路基土之间相互作用的有效方法。由于直接测试含有大型道碴的试样受到标准实验室设备能力的限制,因此建议采用尺寸较小的模型材料。为此,平行分层法得到了广泛应用。本研究根据路碴渗入路基土的响应,对平行分级法进行了评估。建立了离散元件模型,以模拟具有三种不同平行分级的碾压道碴渗入路基土的情况。在此基础上,对这些模型进行了动态三轴模拟。通过比较不同缩放比下的宏观和中观力学特性,评估了平行分级法在评估碾压土渗入路基土中的适用性。在宏观尺度上,碾压道碴的缩放比会显著影响渗透到路基土壤过程中观察到的轴向、体积和侧向变形。具体来说,压载物的平均粒径越小,这些试样的变形就越小。碾碎的压载物渗入路基土壤后,会显著增加路基土壤的孔隙率,尤其是在压载物与路基的交界处。压载物平均粒径越大,孔隙率的增加越明显。在中观尺度上,压载物平均粒径越大,局部接触力越大,应力集中越明显。无论是在宏观尺度还是在中观尺度上,平行分级法都会对碴土渗入路基土体的力学性能产生重大影响。因此,在依靠这种方法进行精确评估时,必须谨慎从事。
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引用次数: 0
Discrete element analysis of jointed rock mass impact on rigid baffle structure 节理岩块冲击刚性挡板结构的离散元素分析
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-10 DOI: 10.1007/s40571-024-00797-w
Shiqi Liu, Zhichao Cheng, Huanling Wang, Yong Zhou, Wei Li

Rockslide is a hot topic and universal phenomenon in the mountainous regions prone to geological hazards, which may pose substantial threats to property. The discrete element method (DEM) has been widely used to simulate the movement process of rockslide and avalanche. However, the rockslide involving jointed rock mass needs more adequate study to evaluate the safety implications effectively. In this paper, a series of DEM tests are conducted to study the movement and fragmentation of blocks with varying structure. The results show that at sliding angle of 45°, horizontal velocity reduces more slowly than vertical velocity because the particles move in a forward direction after impacting the bottom wall. The existence of a baffle structure limits sliding particle movement effectively and enhances the arch effect through the distribution of contact force chains. The number of joints, slope angle and sliding distance have considerable impact on bond breaking percentages and the displacement of the rock mass center. All bond break percentages are close to 90%, and number of joints and slope angle have little impact on the displacement of the rock mass center. This study can guide landslide disaster prevention.

在易发生地质灾害的山区,岩石滑坡是一个热门话题和普遍现象,可能对财产造成重大威胁。离散元法(DEM)已被广泛用于模拟岩石滑坡和雪崩的运动过程。然而,涉及节理岩体的岩崩需要更充分的研究,以有效评估其安全影响。本文进行了一系列 DEM 试验,以研究不同结构岩块的运动和破碎情况。结果表明,在滑动角为 45°时,水平速度的降低速度比垂直速度的降低速度慢,因为颗粒在撞击底壁后会向前运动。挡板结构的存在有效限制了颗粒的滑动运动,并通过接触力链的分布增强了拱形效应。节理数量、斜坡角度和滑动距离对粘结断裂率和岩体中心位移有很大影响。所有粘结破碎率都接近 90%,而节理数和坡度角对岩体中心位移的影响很小。该研究可为滑坡灾害防治提供指导。
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引用次数: 0
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 2.8 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 2.8 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 2.8 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 2.8 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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Computational Particle Mechanics
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