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A deformation-dependent visualization scheme in the framework of the Material Point Method 材料点法框架下的变形可视化方案
IF 3.3 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-29 DOI: 10.1007/s40571-024-00799-8
Zhihao Qian, Moubin Liu, Wenhao Shen

Recent advancements in the Material Point Method (MPM) have significantly improved the simulation of fluid–structure interaction (FSI) problems. However, regardless of the significant advantages of FSI simulation that the MPM can offer, further improvements in flow visualization are essential for analyzing a complicated fluid field. This article presents an innovative approach that integrates Lagrangian Coherent Structures (LCS) with both weakly compressible MPM (WCMPM) and incompressible MPM (iMPM) to improve the identification and analysis of flow structures in complicated FSI problems. The MPM excels in tracking material motion and accurately computing deformation gradients, which is a crucial step for the extraction of the LCS. This combination renders the MPM an ideal complement to the LCS technique, facilitating a detailed examination of complex vortex patterns within flow fields. Unlike traditional particle methods such as Smoothed Particle Hydrodynamics, the MPM boasts a distinct advantage in accuracy for calculating the deformation gradients, which can mitigate errors associated with particle shifting techniques as the deformation gradients are calculated based on the velocities on the background grid. The utility of the LCS visualization within the MPM framework is demonstrated through various numerical experiments, which include the analysis of a water–snow interaction problem, a viscous wake generated by an inclined ellipse, models of fish-like swimming, and liquid sloshing with baffles under different conditions. These studies highlight the ability of the method to offer detailed insights into flow dynamics, confirming the superior capability of the MPM in capturing the complex characteristics of LCSs in viscous incompressible flow fields.

材料点法(MPM)的最新进展极大地改进了流固耦合(FSI)问题的模拟。然而,尽管 MPM 在 FSI 模拟方面具有显著优势,但进一步改进流动可视化对于分析复杂流体场至关重要。本文介绍了一种将拉格朗日相干结构 (LCS) 与弱可压缩 MPM (WCMPM) 和不可压缩 MPM (iMPM) 相结合的创新方法,以改进复杂 FSI 问题中流动结构的识别和分析。MPM 在跟踪材料运动和精确计算变形梯度方面表现出色,而这正是提取 LCS 的关键步骤。这种组合使 MPM 成为 LCS 技术的理想补充,有助于详细检查流场内的复杂涡流模式。与平滑粒子流体力学等传统粒子方法不同,MPM 在计算变形梯度的精度方面具有明显优势,由于变形梯度是根据背景网格上的速度计算的,因此可以减少与粒子移动技术相关的误差。通过各种数值实验,包括分析水雪相互作用问题、倾斜椭圆产生的粘性尾流、鱼类游动模型以及不同条件下带挡板的液体荡流,证明了 LCS 可视化在 MPM 框架内的实用性。这些研究凸显了该方法提供详细流动动力学见解的能力,证实了 MPM 在捕捉粘性不可压缩流场中 LCS 复杂特性方面的卓越能力。
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引用次数: 0
Rapid particle generation from an STL file and related issues in the application of material point methods to complex objects 从 STL 文件快速生成粒子,以及将材料点方法应用于复杂物体的相关问题
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-24 DOI: 10.1007/s40571-024-00813-z
Duan Z. Zhang, Kyle A. Perez, Paul L. Barclay, Jiajia Waters

In this paper, we focus on three issues related to applications of material point methods (MPMs) to objects with complex geometries. They are material point generation, compatibility of material points with a mesh, and sensitivity to mesh orientation. An efficient method of generating material points from a stereolithography (STL) file is introduced. This material point generation method is independent of the mesh used in MPM calculations. The compatibility between the material points and the mesh is then studied. We also show that the original MPM and the dual domain material point (DDMP) method are sensitive to mesh orientation. These issues are related to the calculation of the internal force and are concerns of the MPMs. They become more prominent when MPMs are applied to complex geometries. Our numerical results show that the recently developed local stress difference (LSD) algorithm (Perez et al. in J Comp Phys 498:112681, 2024) can be used to effectively address them.

在本文中,我们将重点讨论与复杂几何形状物体的材料点方法(MPM)应用相关的三个问题。它们是材料点生成、材料点与网格的兼容性以及对网格方向的敏感性。本文介绍了一种从立体光刻 (STL) 文件生成材料点的高效方法。这种材料点生成方法与 MPM 计算中使用的网格无关。然后研究了材料点和网格之间的兼容性。我们还表明,原始 MPM 和双域材料点 (DDMP) 方法对网格方向很敏感。这些问题与内力计算有关,也是 MPM 所关注的问题。当将 MPM 应用于复杂几何体时,这些问题会变得更加突出。我们的数值结果表明,最近开发的局部应力差(LSD)算法(Perez 等人,发表于 J Comp Phys 498:112681, 2024)可用于有效解决这些问题。
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引用次数: 0
A total Lagrange meshless method for modeling the concrete damage evolutions under blast loading 模拟爆炸荷载下混凝土损伤演变的拉格朗日全无网格法
IF 3.3 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-24 DOI: 10.1007/s40571-024-00817-9
Shuyang Yu, Yuan Gao

Quantitative evaluations of blasting damage evolutions of concrete structures are the premise of improving the design codes of concrete blasting engineering. However, traditional numerical methods have some limitations in dealing with the large deformation and discontinuity problems during concrete blasting. In view of this, the improved SPH momentum equation considering blasting load is derived. The “birth and death coefficient” χ is defined, and the traditional SPH smoothing kernel function is then improved, thus realizing the simulations of dynamic blasting damage evolutions under the SPH framework. The methods of determining the concrete meso-structures as well as distinguishing different materials are proposed, which can realize the generations of SPH particles such as aggregates, interfacial transition zones and pores. Firstly, four typical numerical examples are simulated: (1) blasting damage evolution model with one blast hole and one 45° prefabricated fissure; (2) blasting damage evolution model with one blast hole and three parallel prefabricated fissures; (3) blasting damage evolution model with one blast hole, one vertical prefabricated fissure and one horizontal prefabricated fissure; and (4) blasting damage evolution model with two blast holes, two empty holes and two prefabricated fissures. The numerical results are compared with previous experimental results to verify the correctness of the improved method. Then, the concrete mesoscopic blasting damage models are established, and the blast damage evolution processes under different concrete mesoscopic structure properties as well as different dynamic blasting parameters are simulated, and results show that: (1) The blasting cracks are limited around the blast hole when the aggregate content is larger, while when the aggregate content is smaller, the blasting cracks expand to the model boundary by propagating around the aggregates. The increase in the pore content leads to a different crack propagation mode: combinations of crack propagating around the aggregates and connecting the pores. (2) The increase of peak stress wave value and blast stress loading rate leads to the increase in the damage degree around the blast hole, but decrease in the damage degree of the whole model. (3) The damage counts increase rapidly in the initial stage of blasting, but maintain a low level in the later stage when the aggregate content is larger, while it is the opposite when the aggregate content is smaller. The increase in the pore content leads to the decrease in the model damage degree. (4) The dynamic blasting parameters donate less effects on concrete damage counts, and the blasting damage counts decrease with the increase in the peak stress wave value and the loading rate.

混凝土结构爆破损伤演变的定量评估是改进混凝土爆破工程设计规范的前提。然而,传统的数值方法在处理混凝土爆破过程中的大变形和不连续问题时存在一定的局限性。有鉴于此,本文推导了考虑爆破荷载的改进型 SPH 动量方程。定义了 "生死系数 "χ,并对传统的 SPH 平滑核函数进行了改进,从而实现了 SPH 框架下的动态爆破损伤演化模拟。提出了确定混凝土中观结构以及区分不同材料的方法,实现了集料、界面过渡带和孔隙等 SPH 粒子的生成。首先模拟了四个典型的数值实例:(1) 一个爆破孔和一个 45° 预制裂缝的爆破破坏演化模型;(2) 一个爆破孔和三个平行预制裂缝的爆破破坏演化模型;(3) 一个爆破孔、一个垂直预制裂缝和一个水平预制裂缝的爆破破坏演化模型;(4) 两个爆破孔、两个空孔和两个预制裂缝的爆破破坏演化模型。数值结果与之前的实验结果进行了比较,以验证改进方法的正确性。然后,建立了混凝土中观爆破损伤模型,模拟了不同混凝土中观结构特性和不同动态爆破参数下的爆破损伤演化过程,结果表明(1) 当骨料含量较大时,爆破裂缝局限于爆破孔周围;而当骨料含量较小时,爆破裂缝围绕骨料扩展至模型边界。孔隙含量的增加导致不同的裂纹扩展模式:裂纹在集料周围扩展和连接孔隙的组合。(2)应力波峰值和爆破应力加载速率的增加导致爆破孔周围的破坏程度增加,但整个模型的破坏程度降低。(3) 在爆破初期,破坏度数迅速增加,但在后期,当骨料含量较大时,破坏度数维持在较低水平,而当骨料含量较小时,破坏度数则相反。孔隙含量的增加导致模型损伤程度的降低。(4)动态爆破参数对混凝土破坏次数的影响较小,爆破破坏次数随应力波峰值和加载速率的增加而减少。
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引用次数: 0
Study on the macro-mechanical behavior and micro-structure evolution law of broken rock mass under triaxial compression 三轴压缩下破碎岩体的宏观力学行为和微观结构演变规律研究
IF 3.3 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-24 DOI: 10.1007/s40571-024-00818-8
Diyuan Li, Hao Gong, Wenkai Ru, Pingkuang Luo

Under the joint action of anchoring force and high in situ stress, the broken rock mass (BRM) in deep metal mines is actually under three-dimensional (3D) compressive stress, and its triaxial compression mechanical behavior is the key factor to control the stability of the surrounding rock. Therefore, it is necessary to perform research on the macro-mechanical behavior and micro-structural evolution of BRM under such similar stress state. In this work, based on 2D images, we propose a high-efficiency and low-cost method to reconstruct the 3D topographic features of the BRM. The particle flow code is used to study the effects of confining pressures and particle sizes on the mechanical properties, porosity, coordination number, acoustic emission characteristics, and fragmentation characteristics of the BRM. The results show that as the confining pressure increases, the compressive capacity and volume shrinkage of the BRM increase. The compressive capacity of the BRM reduces, and the secondary fragmentation become more violent with the increasing of particle sizes. At lower confining pressure, the rotation and translation of the BRM are main reasons for the change in the porosity. At higher confining pressure, the secondary fragmentation of the BRM as well as the migration of the small volume of rock are responsible to the change in the porosity. Secondary fragmentation of the BRM is mainly induced by tensile failure. The ratio between shear and tensile cracks in number decreases with increasing particle size of BRM. The results can provide some guides for the support design of the BRM in deep metal mines.

在锚固力和高原位应力的共同作用下,深部金属矿井中的破碎岩体(BRM)实际上处于三维(3D)压应力状态,其三轴压缩力学行为是控制围岩稳定性的关键因素。因此,有必要对这种类似应力状态下 BRM 的宏观力学行为和微观结构演变进行研究。在这项工作中,我们基于二维图像,提出了一种高效、低成本的方法来重建 BRM 的三维地形特征。利用颗粒流代码研究了约束压力和颗粒大小对 BRM 的力学性能、孔隙率、配位数、声发射特性和破碎特性的影响。结果表明,随着约束压力的增加,BRM 的抗压能力和体积收缩率也随之增加。随着颗粒尺寸的增大,BRM 的抗压能力降低,二次破碎更加剧烈。在较低的封闭压力下,BRM 的旋转和平移是孔隙率变化的主要原因。在较高的封闭压力下,岩石破碎层的二次破碎以及小体积岩石的迁移是造成孔隙率变化的原因。岩石破碎带的二次破碎主要是由拉伸破坏引起的。剪切裂缝和拉伸裂缝在数量上的比例随着 BRM 粒径的增大而减小。这些结果可为深部金属矿井中 BRM 的支护设计提供一些指导。
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引用次数: 0
Calibration and testing of discrete element simulation parameters for spinach seeds 菠菜种子离散元素模拟参数的校准和测试
IF 3.3 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-18 DOI: 10.1007/s40571-024-00812-0
Gang Zheng, Bing Qi, Wenyi Zhang, Shumin Song, Yu Wu, Qian Qian Xia, Yunxia Wang

The accuracy of simulation parameters for spinach sowing process was enhanced by establishing the seed simulation model based on the intrinsic parameters of spinach seeds using the Hertz–Mindlin model. Calibration of simulation parameters between spinach seeds and contact materials (ABS resins and stainless steel) was performed using free-fall collision method, inclined plane sliding method, and inclined plane rolling method. The results indicated: coefficients of restitution, static friction coefficients, and rolling friction coefficients between spinach and ABS resins were 0.310, 0.467 and 0.045, respectively. Coefficients of restitution, static friction coefficients and rolling friction coefficients between spinach and stainless steel were 0.346, 0.505 and 0.047, respectively. Considering inter-seed contact parameters, a study was conducted using the relative error between measured repose angle and simulated repose angle as the indicator. This involved steepest ascent experiment and three-factor five-level rotational combined design experiment with the optimisation goal of minimising relative error. Through optimal analysis of test data, the following results were obtained: coefficients of restitution, static friction coefficients, and rolling friction coefficients between spinach seeds were found to be 0.47, 0.37 and 0.04, respectively. Calibration results were validated through sowing verification experiments, demonstrating that the qualified rate, multiple rate and missing rate of both simulation and actual tests were less than 5.8%, verifying the reliability of the calibration results. The research findings can serve as a theoretical reference for the design and simulation optimisation of spinach sowing devices.

通过使用赫兹-明德林模型建立基于菠菜种子内在参数的种子模拟模型,提高了菠菜播种过程模拟参数的准确性。采用自由落体碰撞法、斜面滑动法和斜面滚动法对菠菜种子与接触材料(ABS 树脂和不锈钢)之间的模拟参数进行了校准。结果表明:菠菜与 ABS 树脂之间的恢复系数、静摩擦系数和滚动摩擦系数分别为 0.310、0.467 和 0.045。菠菜与不锈钢之间的恢复系数、静摩擦系数和滚动摩擦系数分别为 0.346、0.505 和 0.047。考虑到种子间的接触参数,研究使用测量回转角度和模拟回转角度之间的相对误差作为指标。其中包括最陡坡试验和三因素五级旋转组合设计试验,优化目标是使相对误差最小。通过对试验数据进行优化分析,得出以下结果:菠菜种子之间的恢复系数、静摩擦系数和滚动摩擦系数分别为 0.47、0.37 和 0.04。通过播种验证试验对标定结果进行了验证,结果表明模拟试验和实际试验的合格率、多重率和遗漏率均小于 5.8%,验证了标定结果的可靠性。该研究成果可为菠菜播种装置的设计和仿真优化提供理论参考。
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引用次数: 0
Simulation of the compression of pellets out of filamentous microorganisms using DEM 利用 DEM 模拟丝状微生物颗粒的压缩过程
IF 3.3 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-17 DOI: 10.1007/s40571-024-00805-z
Marcel Schrader, Nils Hoffmann, Stefan Schmideder, Charlotte Deffur, Carsten Schilde, Heiko Briesen, Arno Kwade

Filamentous microorganisms enable the production of a wide range of industrially relevant substances, such as enzymes or active pharmaceutical ingredients, from renewable side products and waste materials. The microorganisms' growth is characterized by the formation of complex, porous networks (mycelium) of tubular, multi-branched cells (hyphae). The mycelium is increasingly used in textiles, packaging, food and construction materials, in addition to the production of chemical substances. Overall, the mycelium's mechanical behavior is essential to many applications. In submerged cultures, spherical hyphal networks (pellets) are formed. The pellets are subjected to mechanical stress during cultivation, which can lead to structural changes affecting product titer and process conditions. To numerically investigate the mechanical behavior of pellets under normal stresses, the discrete element method (DEM) was used for the first time to simulate pellet compression. Initially, pellet structures were generated using a biological growth model and represented by a flexible fiber model. Force–displacement curves were recorded during compression to investigate the influencing factors. The effects of pellet size, fiber segment length, biological growth and DEM model parameters were studied. A strong influence of the growth parameters on the radial hyphal fraction and thus on the compression force was shown. Furthermore, the mechanical properties of the fiber joints significantly determined the pellet mechanics in the considered compression range. Overall, the simulation approach provides a novel tool for the digital investigation of stress on different mycelia, which may be used in the future to enhance mycelial structures through genetic and process engineering methods.

丝状微生物能够利用可再生副产品和废料生产出多种工业相关物质,如酶或活性药物成分。微生物生长的特点是形成由管状多分枝细胞(菌丝)组成的复杂多孔网络(菌丝体)。除生产化学物质外,菌丝体还越来越多地用于纺织品、包装、食品和建筑材料。总之,菌丝的机械行为对许多应用都至关重要。在浸没培养过程中,会形成球形的菌丝网络(颗粒)。球团在培养过程中会受到机械应力,从而导致结构变化,影响产品滴度和工艺条件。为了从数值上研究球团在正常应力下的机械行为,我们首次使用离散元素法(DEM)来模拟球团压缩。首先,使用生物生长模型生成颗粒结构,并用柔性纤维模型表示。在压缩过程中记录了力-位移曲线,以研究影响因素。研究了颗粒尺寸、纤维段长度、生物生长和 DEM 模型参数的影响。结果表明,生长参数对径向菌丝分数有很大影响,因此对压缩力也有很大影响。此外,在所考虑的压缩范围内,纤维接头的机械特性对球团的力学性能有重要影响。总之,该模拟方法为不同菌丝体应力的数字化研究提供了一种新工具,未来可用于通过遗传和工艺工程方法增强菌丝体结构。
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引用次数: 0
Modelling of particle flow code geotechnical material parameter relationships based on orthogonal design and back propagation neural network 基于正交设计和反向传播神经网络的颗粒流代码岩土材料参数关系建模
IF 3.3 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-16 DOI: 10.1007/s40571-024-00806-y
Yaodong Ni, Ruirui Wang, Xianlun Leng, Fengmin Xia, Feng Wang

The utilisation of particle flow code to establish discrete element models represents an effective approach for addressing the issue of discontinuous media. This methodology has been employed by numerous scholars to analyse the mechanical properties and damage laws of geotechnical materials. However, the complex nature of the particle action mechanism within the discrete element model necessitates a considerably longer time frame for the completion of an elaborate simulation experiment than that required for a laboratory test. This presents a significant challenge for researchers seeking to investigate the mechanical properties of a large number of geotechnical materials through the discrete element method. In order to accelerate the prediction of mechanical properties for various specific discrete element models, a mathematical model of the geotechnical micro-parameters and the geotechnical strength macro-parameters has been developed using an orthogonal design considering interactions and a back propagation neural network based on Bayesian regularisation. The geotechnical strength macro-parameters, such as compressive strength and tensile strength, can be derived directly from the geotechnical micro-parameters of the discrete element models through this mathematical model. The results show that the trained network model demonstrates an aptitude for predicting the uniaxial compressive strength, tensile strength, cohesion, and friction angle of geotechnical materials. The mean square error is 11.611 for the training set and 14.207 for the test set. In the test set, the median deviation rates of the predicted values of the four strength macro-parameters from the target values are 3.90%, 4.82%, 4.30%, and 7.30%.

利用粒子流代码建立离散元素模型是解决不连续介质问题的有效方法。许多学者都采用这种方法来分析岩土材料的力学性能和破坏规律。然而,由于离散元素模型中粒子作用机制的复杂性,完成一次精心设计的模拟实验所需的时间要比实验室测试长很多。这对希望通过离散元方法研究大量岩土材料力学特性的研究人员来说是一个巨大的挑战。为了加快对各种特定离散元素模型的力学性能进行预测,我们采用考虑了相互作用的正交设计和基于贝叶斯正则化的反向传播神经网络,建立了岩土工程微观参数和岩土工程强度宏观参数的数学模型。通过该数学模型,可以直接从离散元素模型的岩土微观参数推导出抗压强度和抗拉强度等岩土强度宏观参数。结果表明,训练有素的网络模型能够很好地预测岩土材料的单轴抗压强度、抗拉强度、内聚力和摩擦角。训练集的均方误差为 11.611,测试集为 14.207。在测试集中,四个强度宏观参数的预测值与目标值的中位偏差率分别为 3.90%、4.82%、4.30% 和 7.30%。
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引用次数: 0
Experiment and calibration of contact parameters of Mactra veneriformis based on DEM 基于 DEM 的乳蝇接触参数实验与校准
IF 3.3 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-13 DOI: 10.1007/s40571-024-00801-3
Yuzhong Lou, Guochen Zhang, Xiuchen Li, Qian Zhang, Hanbing Zhang, Jiajia Zhao, Hangqi LI, Hao Wu, Zhuqiao Ye, Zhilei Zhang, Yuchao Zhou, Xiaojie Shang, Shuai Lv, Yizhi Chang, Gang Mu

Mactra veneriformis represents the dominant species in China’s mudflat aquaculture. The discrete element model of M. veneriformis and its contact parameters serve as an important basis for the optimization design and simulation study of aquaculture and processing equipment. The contact parameters of the discrete element model of M. veneriformis were measured and calibrated by a combination of experimental testing and simulation calibration. The study measured the range of collision recovery, static, and rolling friction coefficients between M. veneriformis and stainless steel. The Plackett–Burman multifactorial significance screening test was then conducted for the split-cylinder method, the rotate-cylinder method, and the single-cylinder method particle characterization test methods. The ANOVA results were utilized to calibrate the contact parameters. The collision recovery coefficient of 0.29 between M. veneriformisM. veneriformis and 0.28 between M. veneriformis–stainless steel. The coefficient of static friction of 0.41 was determined between M. veneriformisM. veneriformis, a coefficient of static friction of 0.62 between M. veneriformis–stainless steel, and a coefficient of rolling friction of 0.23 between M. veneriformisM. veneriformis and a coefficient of rolling friction of 0.16 between M. veneriformis–stainless steel. After calibration, simulation tests were conducted using the side plate lifting method to verify the contact parameters of the discrete elements of M. veneriformis. The results showed that the simulation angle of repose of the calibrated M. veneriformis had an error of 4% concerning the true angle, thus verifying the contact parameters of the M. veneriformis. The findings of this study can serve as a valuable reference for future research on the optimal design and simulation of the sowing, harvesting, and processing equipment of M. veneriformis. The research methodology employed can provide novel insights for research on discrete elemental parameter calibration of agricultural materials, which has not been extensively studied.

金眼鲷是中国滩涂水产养殖的优势品种。鱼芒离散元模型及其接触参数是水产养殖和加工设备优化设计与仿真研究的重要依据。通过实验测试和模拟校准相结合的方法,测量和校准了栉水母离散元模型的接触参数。研究测量了栉水母与不锈钢之间的碰撞恢复系数、静摩擦系数和滚动摩擦系数的范围。然后对分圆筒法、旋转圆筒法和单筒法颗粒表征测试方法进行了 Plackett-Burman 多因素显著性筛选测试。方差分析结果用于校准接触参数。碰撞恢复系数在 M. veneriformis-M. veneriformis 之间为 0.29,在 M. veneriformis-Stainless steel 之间为 0.28。经测定,M. veneriformis-M. veneriformis 之间的静摩擦系数为 0.41,M. veneriformis-Stainless steel 之间的静摩擦系数为 0.62,M. veneriformis-M. veneriformis 之间的滚动摩擦系数为 0.23,M. veneriformis-Stainless steel 之间的滚动摩擦系数为 0.16。校准后,使用侧板提升法进行了模拟试验,以验证栉水母离散元素的接触参数。结果表明,校准后的瓶形菌模拟倾角与真实倾角的误差为 4%,从而验证了瓶形菌的接触参数。本研究的结果可为今后有关马钱子播种、收获和加工设备的优化设计和模拟研究提供有价值的参考。所采用的研究方法可为尚未广泛研究的农业材料离散元素参数校准研究提供新的见解。
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引用次数: 0
Discrete element simulation of powder layer spreading by blade sliding: packing factor, mechanism, and optimization 通过叶片滑动实现粉末层铺展的离散元模拟:堆积因子、机理与优化
IF 3.3 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-12 DOI: 10.1007/s40571-024-00808-w
L. Dai, Y. R. Chan, G. Vastola, Y. W. Zhang

We utilized the discrete element method to simulate the packing of a powder layer by blade spread. Our study revealed the following findings: (1) We uncovered a hereditary relationship that exists between the pouring heap and the packing layer, which plays a significant role in the non-uniform distribution of powder in the packing layer in terms of sizes and shapes. (2) We systematically analysed the influence of sliding speed on powder packing and recommended a threshold sliding rate of 0.15 m/s for achieving a high packing quality. (3) Contrary to the conventional belief that non-spherical powders tend to reduce packing density, our study discovered that the inclusion of a small portion of non-spherical powders can create pathways for efficient gap-filling, resulting in denser packings. (4) By adjusting inter-powder interactions, we observed a transition from discrete powder packing to cluster deposition. (5) We proposed and demonstrated the efficacy of a two-step spreading technique followed by multiple shaking cycles in achieving maximum random packing density. Overall, our work provides a comprehensive understanding of mechanisms involved in the powder spreading process through blade sliding, which may lead to enhanced powder packing density and uniformity and ultimately improved outcomes in additive manufacturing.

我们利用离散元素法模拟了叶片铺展粉末层的填料。我们的研究揭示了以下结论:(1)我们发现了浇注堆和填料层之间存在的遗传关系,这种关系对填料层中粉末大小和形状的不均匀分布起着重要作用。(2) 我们系统地分析了滑动速度对粉末填料的影响,并推荐了 0.15 米/秒的临界滑动速度,以获得较高的填料质量。(3) 与非球形粉末容易降低填料密度的传统观点相反,我们的研究发现,加入一小部分非球形粉末可以为有效填充间隙创造通道,从而提高填料密度。(4) 通过调整粉末间的相互作用,我们观察到了从离散粉末堆积到团块沉积的过渡。(5) 我们提出并证明了两步铺展技术和多次振荡循环在实现最大随机堆积密度方面的功效。总之,我们的工作让人们全面了解了通过叶片滑动进行粉末铺展过程的相关机制,这可能会提高粉末堆积密度和均匀性,最终改善增材制造的结果。
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引用次数: 0
Analysis of the breakage of the bio-cementation generated on glass beads during a direct shear test using a DEM model 利用 DEM 模型分析玻璃珠在直接剪切试验中产生的生物胶结破损情况
IF 3.3 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-07-29 DOI: 10.1007/s40571-024-00803-1
Miguel Valencia-Galindo, Esteban Sáez, Martin Kozakovic, Jaromir Havlica, David Kramoliš, Pamela Chávez-Crooker

The improvement of soil behaviour by the bacterial precipitation of calcium carbonate has been extensively studied in geotechnical engineering. However, the evolution of bio-cementation bonds under shear conditions is only partially understood. This research presents a micromechanical approach to gain a deeper insight into the interaction between bio-cemented particles. A series of glass bead samples were treated with Microbial Induced Calcite Precipitation (MICP) and then subjected to direct shear tests. A calibrated model based on the Discrete Element Method was used to reproduce the macro-mechanical paths observed in the experiments, allowing the detailed analysis and description of the bond evolution at the microscopic scale in the treated samples. In general, it was found that a higher rate of bond breakage occurred before the peak shear strength was reached, and this was followed by a relatively constant rate of bond breakage associated with a macroscopic softening trend. Tensile stress was identified as the primary fracture mechanism. Finally, it was determined that the bond breakage mechanism is influenced by several factors, such as bond distribution, particle array, and the mechanical parameters of the bond.

岩土工程领域对通过细菌沉淀碳酸钙来改善土壤性能的问题进行了广泛的研究。然而,人们对剪切条件下生物加固键的演变仅有部分了解。本研究提出了一种微观力学方法,以深入了解生物水泥颗粒之间的相互作用。一系列玻璃珠样品经微生物诱导方解石沉淀(MICP)处理后进行了直接剪切试验。基于离散元素法的校准模型用于再现实验中观察到的宏观机械路径,从而可以详细分析和描述处理过的样品在微观尺度上的粘接演变。一般来说,在达到剪切强度峰值之前会出现较高的粘接断裂率,之后会出现与宏观软化趋势相关的相对稳定的粘接断裂率。拉伸应力被认为是主要的断裂机制。最后,确定了粘接断裂机制受多个因素的影响,如粘接分布、颗粒阵列和粘接的机械参数。
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引用次数: 0
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Computational Particle Mechanics
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