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Modeling 3D concrete printing through the combined DEM-discrete fresh concrete approach 结合dem -离散新混凝土方法对3D混凝土打印建模
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-01-23 DOI: 10.1007/s40571-025-01104-x
Victor Hugo M. Avancini, Osvaldo D. Quintana-Ruiz, Eduardo M. B. Campello

Three-dimensional concrete printing (3DCP) has emerged as a promising manufacturing technique in the civil engineering sector, offering significant advantages over traditional construction methods. Despite its potential, challenges persist in optimizing the deposition process, particularly regarding the rheological characteristics of printable concrete, which affect filament formation and stability during printing. In this study, we implement the discrete fresh concrete (DFC) model within an in-house formulation of the discrete element method (DEM) to simulate the rheological behavior of fresh concrete during extrusion. While using our implementation to analyze how printing speed and concrete mixture affect the quality of single-layer printing, we identify limitations in the original DFC model to properly represent particle-particle and particle-surface tangential interactions, particularly in energy dissipation mechanisms. To improve the model’s robustness, we suggest modifications to account for static friction and rolling resistance in the material model. Once these limitations are overcome, our simulation results indicate that the enhanced DFC framework can provide valuable insights into the printing process, including filament formation and layer continuity and stability, and may be a useful tool for process optimization in 3DCP applications.

三维混凝土打印(3DCP)在土木工程领域已经成为一种很有前途的制造技术,与传统的施工方法相比,它具有显著的优势。尽管具有潜力,但在优化沉积过程方面仍然存在挑战,特别是关于可打印混凝土的流变特性,这影响了打印过程中长丝的形成和稳定性。在本研究中,我们在离散单元法(DEM)的内部公式中实现了离散新混凝土(DFC)模型,以模拟新混凝土在挤压过程中的流变行为。在使用我们的实现来分析打印速度和混凝土混合物如何影响单层打印质量时,我们发现了原始DFC模型在正确表示颗粒-颗粒和颗粒-表面切向相互作用方面的局限性,特别是在能量耗散机制方面。为了提高模型的鲁棒性,我们建议修改以考虑材料模型中的静摩擦和滚动阻力。一旦克服了这些限制,我们的模拟结果表明,增强的DFC框架可以为打印过程提供有价值的见解,包括长丝形成和层的连续性和稳定性,并可能成为3DCP应用中工艺优化的有用工具。
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引用次数: 0
Particle-mesh search based on cell-linked list for fixed and moving polygon walls in moving particle semi-implicit method 移动粒子半隐式法中基于细胞链表的固定和移动多边形壁的粒子网格搜索
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-12-21 DOI: 10.1007/s40571-025-01100-1
Matheus Carlos Bandeira Teixeira, Rubens Augusto Amaro Junior, Liang-Yee Cheng

In continuum-based particle methods, the adoption of polygon meshes for solid boundary modeling provides more efficient and smoother representation of complex-shaped solid boundaries. However, the computation of the particle-mesh distances might be an additional time-consuming task if naively performed. This additional computational time, in turn, may become a bottleneck for practical modeling of fluid–structure interaction (FSI) problems involving complex-shaped moving or deformable bodies. In the present work, we propose a technique named point-mesh search based on cell-linked list (PSCL), aiming to increase the computational efficiency of the particle-mesh search procedure. It is a variant of strategies that takes advantage of the cell-linked list structure to narrow the search domain. We investigated the behaviors of the particle-mesh searching techniques’ performances by considering FSI cases with violent free-surface deformations, such as relatively simple geometry dam breaking hitting a block for validation of the impact loads; water entry of a parabolic cylinder modeled as moving body or as fixed body with bottom inflow to assess the overhead due to moving meshes; and impact loads on freefall lifeboats to evaluate the computational efficiency in practical engineering applications. The results show that PSCL is robust and reliable and achieves significant speedups for real-world applications with complex-shaped moving bodies, demanding very low overhead for moving meshes.

Graphical Abstract

在基于连续体的粒子方法中,采用多边形网格进行实体边界建模,可以更高效、更流畅地表示复杂形状的实体边界。然而,如果简单地计算粒子网距离可能是一个额外的耗时任务。这种额外的计算时间反过来又可能成为涉及复杂形状的运动或可变形体的流固相互作用(FSI)问题的实际建模的瓶颈。本文提出了一种基于细胞链表(PSCL)的点网格搜索技术,旨在提高粒子网格搜索过程的计算效率。它是利用单元链表结构来缩小搜索范围的策略的一种变体。为了验证冲击载荷的有效性,我们考虑了具有剧烈自由面变形的FSI案例,例如相对简单的几何溃坝撞击块体;移动体和固定体抛物线柱体模型的入水情况及底部入水情况,以评估移动网格引起的架空;并对自由落体救生艇的冲击载荷进行了计算,以评估其在实际工程应用中的计算效率。结果表明,PSCL具有鲁棒性和可靠性,并且在具有复杂形状运动物体的实际应用中实现了显着的加速,并且对移动网格的开销要求非常低。图形抽象
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引用次数: 0
Implicit incompressible SPH(2) with novel Laplacian of velocity operator for highly viscous rotational problems 高粘性旋转问题的隐式不可压缩SPH(2)与新颖的拉普拉斯速度算子
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-12-20 DOI: 10.1007/s40571-025-01102-z
Daniel S. Morikawa, Mitsuteru Asai

In this study, we present an implicit incompressible smoothed particle hydrodynamics method designed for simulating fluid dynamics problems where rotational behavior is a key feature of the flow. Crucial to this task is the calculation of the viscous term of the Navier–Stoker equation, because most SPH operators for the Laplacian of velocity are either highly inaccurate or produce spurious resistance to rotation. Here, we introduce a novel equation for calculating the Laplacian of velocity, designed as a compromise between mathematical accuracy and the local conservation of angular momentum. The proposed method is validated through a series of simulations of the coiling behavior of highly viscous fluids, demonstrating its ability to naturally generate this phenomenon and accurately predict the cessation of coiling at appropriate heights. In addition, we validate the proposed method in terms of quantitatively reproduce the angular frequency of the coiling for different values of height with satisfactory results.

在这项研究中,我们提出了一种隐式不可压缩光滑粒子流体动力学方法,设计用于模拟流体动力学问题,其中旋转行为是流动的关键特征。这项任务的关键是计算Navier-Stoker方程的粘性项,因为速度拉普拉斯算子的大多数SPH算子要么非常不准确,要么产生虚假的旋转阻力。在这里,我们引入了一个计算速度拉普拉斯方程的新方程,它被设计成数学精度和局部角动量守恒之间的折衷。通过对高粘性流体卷取行为的一系列模拟验证了所提出的方法,证明了该方法能够自然产生这种现象,并准确预测在适当高度时卷取停止的能力。此外,我们从定量再现不同高度值下线圈的角频率方面验证了所提出的方法,结果令人满意。
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引用次数: 0
Two-relaxation-time lattice Boltzmann method for elastodynamic wave propagation in solids 固体弹性动力波传播的双松弛时间晶格玻尔兹曼方法
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-12-04 DOI: 10.1007/s40571-025-01065-1
Henning Müller, Ralf Müller

The lattice Boltzmann method (LBM) has been successfully applied to the simulation of fluid flows for over three decades. In recent years, it has also been extended to solid mechanics, particularly for elastodynamics. This work presents a comprehensive introduction to the moment chain LBM for solids, focusing on the two-relaxation-time (TRT) scheme. The method is based on a chain of balance equations, which allows for the simulation of wave propagation in elastic solids. The TRT scheme improves stability and accuracy, making it suitable for a wide range of material parameters. The method is applied to wave propagation in solids with an analysis of the energy dissipation. The results demonstrate the effectiveness of the moment chain LBM for simulating elastodynamics and highlight its potential for future applications in solid mechanics.

晶格玻尔兹曼方法(LBM)已经成功地应用于流体流动模拟三十多年。近年来,它也被扩展到固体力学,特别是弹性动力学。这项工作提出了固体的矩链LBM的全面介绍,重点是双松弛时间(TRT)方案。该方法基于一系列平衡方程,可以模拟弹性固体中的波传播。TRT方案提高了稳定性和精度,使其适用于各种材料参数。将该方法应用于固体中的波传播,并对能量耗散进行了分析。结果证明了矩链LBM在模拟弹性动力学方面的有效性,并突出了其在固体力学中的未来应用潜力。
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引用次数: 0
Scaling laws for the size-dependent breakage force of brittle near-spherical particles under quasi-static loading 准静态加载下脆性近球形颗粒破碎力随尺寸变化的标度规律
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-11-18 DOI: 10.1007/s40571-025-01095-9
Eric Fimbinger, Katja Wisiak

This study investigates the size-dependent breakage force of brittle, near-spherical particles under quasi-static compressive loading. A physically motivated analytical model is derived, predicting a power-law relationship between particle size and breakage force—specifically, a quadratic scaling with diameter and a 2/3-power scaling with mass. To validate this model, a multi-material experimental campaign using synthetically produced spherical specimens was conducted, followed by a numerical simulation campaign using the Discrete Element Method (DEM) with a bonded particle modelling (BPM) approach.

The experimental results confirmed the proposed scaling law, with coefficients of determination (R2) exceeding 0.94 for a combined material consideration. The DEM simulations, calibrated using experimental data, reproduced breakage forces, and scaling patterns with high fidelity and enabled extension of the size range by a factor of more than two in diameter and four in mass, whilst also increasing statistical resolution through a higher number of replicates per size class. This numerical extension not only enabled broader parameter exploration but also mitigated experimental limitations, such as specimen variability, preparation inconsistency, and practical size constraints.Across analytical, experimental, and numerical approaches, consistent agreement was found, supporting the general applicability of the model. The findings provide a robust basis for defining breakage thresholds in DEM-based simulations—e.g. for replacement-based approaches—and offer a scalable alternative to physical testing. The validated framework facilitates improved prediction of breakage behaviour in slow compression systems such as jaw crushers and contributes to the broader understanding of particle-scale mechanics in brittle materials.

本研究研究了准静态压缩载荷下脆性近球形颗粒的尺寸依赖性破碎力。推导了一个物理驱动的分析模型,预测了粒径和破碎力之间的幂律关系,即与直径的二次标度和与质量的2/3次标度。为了验证该模型,使用合成的球形试样进行了多材料实验,然后使用结合颗粒建模(BPM)方法的离散元法(DEM)进行了数值模拟。实验结果证实了所提出的标度规律,在综合材料考虑下,决定系数(R2)超过0.94。使用实验数据进行校准的DEM模拟,以高保真度再现了破碎力和缩放模式,并将尺寸范围扩展了2倍以上的直径和4倍以上的质量,同时还通过每个尺寸类别的更多复制次数提高了统计分辨率。这种数值扩展不仅可以进行更广泛的参数探索,还可以减轻实验限制,例如样品可变性,制备不一致性和实际尺寸限制。通过分析、实验和数值方法,一致的协议被发现,支持该模型的一般适用性。研究结果为在基于dem的模拟中定义破损阈值提供了坚实的基础。对于基于替换的方法,并提供物理测试的可扩展替代方案。经过验证的框架有助于改进慢压缩系统(如颚式破碎机)的破碎行为预测,并有助于更广泛地理解脆性材料的颗粒尺度力学。
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引用次数: 0
Advances in discrete element modeling of rock fracture for next-generation comminution models 面向下一代破碎模型的岩石断裂离散元建模研究进展
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-11-08 DOI: 10.1007/s40571-025-01092-y
Vedad Tojaga, Mijo Nikolić, Michael Denzel, Jacinto Ulloa, Adnan Ibrahimbegovic, Magnus Evertsson, Adam Bilock, Timo Saksala, Johannes Quist

This paper provides a methodological overview of the current state of the art in discrete element modeling of rock fracture in the context of comminution, an energy-intensive process of breaking down rocks into smaller sizes. This process is essential for liberating valuable metals and minerals that are in growing demand for the green transition and the electrification of society. The paper covers the most recent developments and addresses fundamental issues in the bonded discrete element method, the lattice element method, the particle replacement method, and the level-set discrete element method. We argue that the most effective modeling approach must emerge from a synergy between solid mechanics, rock mechanics, and the comminution field—an effort made by this collaborating multidisciplinary group, with the goal of making the next generation of comminution models, powered by GPU-accelerated high-performance computing, more reflective of real-life rock behavior, advancing energy-efficient mining.

本文提供了一种方法概述,在粉碎的背景下,岩石断裂的离散单元建模的当前状态,这是一种将岩石分解成较小尺寸的能源密集型过程。这一过程对于释放对绿色转型和社会电气化日益增长的贵重金属和矿物至关重要。本文涵盖了键合离散元法、点阵离散元法、粒子置换法和水平集离散元法的最新发展和基本问题。我们认为,最有效的建模方法必须来自固体力学、岩石力学和粉碎领域之间的协同作用——这是一个多学科合作小组的努力,目标是制造下一代粉碎模型,由gpu加速的高性能计算驱动,更能反映现实生活中的岩石行为,推进节能采矿。
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引用次数: 0
A monolithic PFEM-FEM approach for fluid–structure interaction with structural contact: applications in engineering and biomechanics 流体-结构相互作用与结构接触的整体pmm - fem方法:在工程和生物力学中的应用
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-10-11 DOI: 10.1007/s40571-025-01081-1
Darcy H. F. R. Moreira, Giovane Avancini, Rodolfo A. K. Sanches

The simulation of fluid–structure interaction problems involving structural contact has a wide range of applications in engineering as well as in biomechanical contexts, such as the actuation of heart valves. However, simulating these problems presents significant challenges, particularly due to the occurrence of topological changes in the fluid domain, dynamic solid-to-solid contact, and the complexities of fluid–structure coupling. This paper presents a monolithic numerical framework for simulating fluid–structure interaction problems involving structural contact. The method combines a particle-position-based formulation of the particle finite element method (PFEM) for fluid dynamics with a position-based total Lagrangian formulation for nonlinear solid mechanics, and employs a node-to-segment algorithm with Lagrange multipliers to handle structural contact. The PFEM effectively addresses topological changes in the fluid domain by integrating remeshing techniques with the particle concept, while the node-to-segment algorithm proves to be a reliable method for managing structural contact, even in scenarios involving complex geometries. The particle-position-based approach uses nodal positions as primary variables, making the monolithic coupling with the total Lagrangian position-based formulation for the solid straightforward and efficient, resulting in a framework that is particularly effective for strongly coupled problems. The proposed approach is tested through two-dimensional numerical examples, demonstrating its robustness and potential for biomedical and engineering applications.

涉及结构接触的流固相互作用问题的模拟在工程和生物力学环境中有着广泛的应用,例如心脏瓣膜的驱动。然而,模拟这些问题带来了巨大的挑战,特别是由于流体领域的拓扑变化,动态固-固接触以及流固耦合的复杂性。本文提出了一个整体数值框架来模拟涉及结构接触的流固耦合问题。该方法将流体力学中基于粒子位置的粒子有限元方法(PFEM)与非线性固体力学中基于位置的全拉格朗日公式相结合,并采用拉格朗日乘子的节点到段算法处理结构接触。PFEM通过将网格划分技术与粒子概念相结合,有效地解决了流体域的拓扑变化,而节点到段算法被证明是管理结构接触的可靠方法,即使在涉及复杂几何形状的情况下也是如此。基于粒子位置的方法使用节点位置作为主要变量,使得整体耦合与基于整体拉格朗日位置的实体公式直接有效,从而形成一个对强耦合问题特别有效的框架。通过二维数值实例验证了该方法的鲁棒性和在生物医学和工程领域的应用潜力。
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引用次数: 0
An element-free Galerkin approach for rate- and temperature-dependent behavior of inelastic solids 非弹性固体随速率和温度变化行为的无单元伽辽金方法
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-09-19 DOI: 10.1007/s40571-025-01060-6
Hojjat Badnava, Sayed Hassan Nourbakhsh, Mahmoud Pezeshki

In many engineering applications, materials are subjected to high loading rates and severe deformation, where the coupled effects of temperature and mechanical response become significant. This study presents an element-free Galerkin meshless method for modeling the thermo-viscoplastic behavior of materials under dynamic loading conditions. The formulation is derived based on first-order conservation laws for linear momentum, deformation gradient tensor, volume map, area map, and entropy, within a total Lagrangian framework. A variational multiscale stabilization approach is employed to ensure numerical robustness. The Johnson-Cook model is incorporated to capture strain rate sensitivity in plastic deformation. The method is validated through plasticity benchmark problems, including the modeling of Taylor impact test, necking bar, and equal channel angular pressing process. Furthermore, the temperature-dependent phase transformation behavior of shape memory alloys is simulated under dynamic loading. Results demonstrate the capability of the proposed method to accurately capture the complex interplay between thermal and mechanical effects in highly nonlinear scenarios.

在许多工程应用中,材料受到高加载率和严重变形的影响,其中温度和机械响应的耦合效应变得显著。本研究提出了一种无单元Galerkin无网格方法来模拟材料在动态加载条件下的热粘塑性行为。该公式是基于线性动量、变形梯度张量、体积映射、面积映射和熵在总拉格朗日框架内的一阶守恒定律推导出来的。采用变分多尺度稳定化方法保证数值鲁棒性。采用Johnson-Cook模型来捕捉塑性变形中的应变率敏感性。通过Taylor冲击试验建模、缩颈杆和等道角压成形等塑性基准问题对该方法进行了验证。此外,还模拟了形状记忆合金在动载荷作用下的相变行为。结果表明,所提出的方法能够准确地捕捉高度非线性情况下热效应和力学效应之间复杂的相互作用。
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引用次数: 0
Application of the PFEM to the study of blood flows and their interactions with highly deformable artery walls, including rupture 应用PFEM研究血流及其与高变形动脉壁的相互作用,包括破裂
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-09-09 DOI: 10.1007/s40571-025-01042-8
Jeanne Delhez, Martin Lacroix, Jean-Philippe Ponthot

Cardiovascular diseases are the leading cause of mortality worldwide, with projections indicating a concerning rise in related deaths. Computational models offer promising tools to understand the hemodynamics and biomechanical mechanisms underlying vascular failure. In particular, Fluid-Structure Interaction (FSI) algorithms have found significant applications in cardiovascular engineering. This study aims at demonstrating the relevance of the Particle Finite Element Method (PFEM). to model fluid–structure interactions between artery walls and blood flows, and assess the corresponding biomechanical aspects. For this, the flow–structure interaction problem is addressed using a partitioned approach with a strong coupling of the PFEM (for the fluid) and FEM (for the solid) models. Both Newtonian and Casson fluid models, as well as a Mooney–Rivlin hyperelastic model for the deformation of blood vessels, are incorporated. The numerical simulations successfully describe a wide range of situations, from the ejection of blood from the left ventricle to the dynamics of an abdominal aortic aneurysm. To the best of our knowledge, this work describes the very first applications of the PFEM to the study of blood flows in FSI simulations. It is also original by the explicit description of the rupture of the artery wall. Although the model could still be improved, for instance by introducing a turbulence model to deal with high–speed flow through the valve or considering anisotropic hyperelastic models for vessels, the results demonstrate the high potential of this method for describing the interactions of blood flows with the deforming artery walls.

心血管疾病是全世界死亡的主要原因,预测表明相关死亡人数令人担忧地上升。计算模型为理解血管衰竭的血流动力学和生物力学机制提供了有前途的工具。特别是流固耦合(FSI)算法在心血管工程中有重要的应用。本研究旨在证明粒子有限元法(PFEM)的相关性。模拟动脉壁和血流之间的流体结构相互作用,并评估相应的生物力学方面。为此,流动-结构相互作用问题是通过PFEM(流体)和FEM(固体)模型的强耦合的分区方法来解决的。牛顿和卡森流体模型,以及Mooney-Rivlin血管变形的超弹性模型都被纳入其中。数值模拟成功地描述了广泛的情况,从左心室的血液喷射到腹主动脉瘤的动力学。据我们所知,这项工作描述了PFEM在FSI模拟中研究血流的第一个应用。它还原创性地明确描述了动脉壁的破裂。尽管该模型仍然可以改进,例如通过引入湍流模型来处理通过瓣膜的高速血流或考虑血管的各向异性超弹性模型,但结果表明该方法在描述血流与变形动脉壁的相互作用方面具有很高的潜力。
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引用次数: 0
Modelling the breakage of coated particles using discrete element and bonded particle method 采用离散元法和结合粒子法对包覆颗粒的破碎进行建模
IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-09-06 DOI: 10.1007/s40571-025-01061-5
Wasif Safdar, Sonja Rotter, Maike Orth, Stefan Heinrich, Alexander Düster

In recent years, particles have gained popularity as crash absorbers. To improve their mechanical properties, a coating layer can be applied. To predict the effect of this coating, a numerical model must be developed. For this purpose, the present study employs the discrete element method, extended by the bonded particle method, using both high- and low-fidelity approaches. In this framework, a single physical particle is modelled as a cluster or agglomerate of smaller particles bonded together. To identify the parameters involved, a sensitivity analysis is performed, followed by optimisation using the particle swarm algorithm, with calibration based on uniaxial single particle compression tests. Once an optimised parameter set is obtained, the models are validated against multi particle compression test results. The outcomes of this study demonstrate the potential of the proposed methodology for simulating large-scale compression tests of coated granular materials.

近年来,颗粒作为碰撞减震器越来越受欢迎。为了提高它们的机械性能,可以涂上一层涂层。为了预测这种涂层的效果,必须建立一个数值模型。为此,本研究采用离散元方法,由结合粒子方法扩展,使用高保真度和低保真度方法。在这个框架中,单个物理粒子被建模为粘合在一起的小粒子的簇或团块。为了确定所涉及的参数,进行了灵敏度分析,然后使用粒子群算法进行优化,并基于单轴单粒子压缩测试进行校准。一旦获得优化参数集,模型就会根据多粒子压缩试验结果进行验证。这项研究的结果证明了所提出的方法模拟涂层颗粒材料的大规模压缩试验的潜力。
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引用次数: 0
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Computational Particle Mechanics
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