Computers & Structures最新文献

英文中文

Coupling of finite and boundary element methods for contact analysis of dielectric solids immersed in electrostatic medium 静电介质中介电固体接触分析的有限元和边界元耦合方法

IF 4.4 2区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Structures

Pub Date : 2025-01-15 DOI: 10.1016/j.compstruc.2024.107591

Moonhong Kim, Dongwoo Sohn

This paper introduces a novel approach for analyzing the frictionless two-dimensional contact between dielectric solids in an electrostatic medium. This analysis is achieved by combining the finite element and boundary element methods. The finite elements model elastic dielectric solids undergoing geometrically nonlinear mechanical deformation and electric polarization. We present a finite element-based contact formulation to address the electromechanical contact between dielectric solids. To enforce the contact condition, we employ the nested augmented Lagrangian method. In contrast, the boundary element method is applied to consider the electrostatic medium surrounding the dielectric solids. The boundary elements are coupled with the finite elements on the surfaces of the dielectric solids. This coupling and elaborate treatment of transition zones between contacting and non-contacting solid surfaces ensures accurate capture of electrical interactions along all boundaries. Our proposed method successfully passes a contact patch test even with non-matching meshes. To further validate the effectiveness of our approach, we provide numerical examples that explore the impact of piezoelectricity and flexoelectricity. These examples demonstrate the applicability of the proposed method.

本文介绍了一种分析静电介质中介电固体之间无摩擦二维接触的新方法。这种分析是通过结合有限元和边界元方法实现的。有限元模拟发生几何非线性机械变形和电极化的弹性介电固体。我们提出了一种基于有限元的接触公式，以解决介电固体之间的机电接触问题。为了执行接触条件，我们采用了嵌套增强拉格朗日法。而边界元法则用于考虑介电固体周围的静电介质。边界元素与介电固体表面的有限元耦合。这种耦合以及对接触和非接触固体表面之间过渡区的精心处理，确保了沿着所有边界准确捕捉电相互作用。即使在网格不匹配的情况下，我们提出的方法也能成功通过接触贴片测试。为了进一步验证我们方法的有效性，我们提供了数值示例来探讨压电和挠电的影响。这些例子证明了所提方法的适用性。

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引用次数: 0

Nonlinear finite element analysis of layered steel fiber reinforced concrete beams 层状钢纤维混凝土梁非线性有限元分析

IF 4.4 2区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Structures

Pub Date : 2025-01-15 DOI: 10.1016/j.compstruc.2024.107637

Anas M.H. Fares, Burcu Burak Bakir

This study investigates the effect of fiber properties and SFRC layer thickness on the flexural behavior of layered beams that undergo both compression and tension failures. Four specimens tested in a prior experimental study are modeled utilizing nonlinear finite element software ABAQUS, and numerical results are verified by comparison with experimental results. Contrary to existing nonlinear models, developed model accurately predicts damage pattern, descending portion of the load–displacement relationship, and ultimate displacement, which results in an accurate estimation of energy dissipation capacity and ductility. Moreover, a comprehensive parametric study is carried out to investigate the effect of tension reinforcement ratio, fiber volume fraction, fiber aspect ratio, and SFRC layer thickness on flexural behavior. Numerical results verify the improvement of beam flexural behavior by increasing SFRC layer thickness and indicate the significance of defining a minimum layer thickness. If the SFRC layer has a thickness lower than 40% of beam depth, there is only limited improvement in the behavior even for fibers with high aspect ratios. In contrast to SFRC beams, layered SFRC beams with up to 1.5% steel fibers exhibit a minor increase in the load carrying capacity, while ductility and energy dissipation capacity significantly improve with increasing layer thickness.

本文研究了纤维性能和纤维纤维层厚度对受压和受拉破坏的层状梁受弯性能的影响。利用非线性有限元软件ABAQUS对先前试验研究中的4个试件进行建模，并将数值结果与实验结果进行对比验证。与现有的非线性模型相比，该模型能够准确地预测损伤形态、荷载-位移关系下降部分和极限位移，从而准确地估计出结构的耗能能力和延性。此外，还进行了综合参数研究，探讨了受拉配筋率、纤维体积分数、纤维长径比和SFRC层厚度对抗弯性能的影响。数值结果验证了增加钢纤维层厚度对梁的抗弯性能的改善，并指出了确定最小层厚度的重要性。如果SFRC层的厚度低于光束深度的40%，即使对于高纵横比的纤维，其性能也只有有限的改善。与钢纤维层状钢纤维梁相比，钢纤维层状钢纤维梁的承载能力略有提高，但随着层厚的增加，延性和耗能能力显著提高。

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引用次数: 0

An explicit topology and thickness control approach in SIMP-based topology optimization 基于simp的拓扑优化中的显式拓扑和厚度控制方法

IF 4.4 2区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Structures

Pub Date : 2025-01-15 DOI: 10.1016/j.compstruc.2024.107631

Tongxing Zuo , Haitao Han , Qianglong Wang , Qiangwei Zhao , Zhenyu Liu

In order to improve the topology optimization results for the requirements such as manufacturability and functionality, and to strengthen the link between structural topology optimization and computational topology, this paper measures the topology and thickness of the structure using topological invariants (i.e., Euler characteristic and Betti numbers) in the computational topology. Based on set theory, explicit relationships between structural topology/thickness and design variables are established, leading to the construction of solid and void constraints. These two constraints are then integrated into the SIMP-based topology optimization framework to control the minimum/maximum solid thickness and minimum void thickness while keeping the structural topology unchanged during topology optimization process. 2D and 3D numerical examples demonstrate that the new approach does have the capability to give a complete control of the topology and thickness of the optimal structure in an explicit way.

为了针对可制造性和功能性等要求改进拓扑优化结果，并加强结构拓扑优化与计算拓扑之间的联系，本文利用计算拓扑中的拓扑不变式（即欧拉特征和贝蒂数）来测量结构的拓扑和厚度。基于集合论，本文在结构拓扑/厚度和设计变量之间建立了明确的关系，从而构建了实体和虚空约束。然后将这两个约束整合到基于 SIMP 的拓扑优化框架中，以控制最小/最大实体厚度和最小空隙厚度，同时在拓扑优化过程中保持结构拓扑不变。二维和三维数值示例表明，新方法能够以明确的方式对最优结构的拓扑和厚度进行完全控制。

引用次数: 0

Advanced 3D Hamiltonian nodal position finite element method for nonlinear dynamic analysis of rotating solids 旋转固体非线性动力分析的先进三维哈密顿节点位置有限元方法

IF 4.4 2区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Structures

Pub Date : 2025-01-15 DOI: 10.1016/j.compstruc.2024.107634

Fuzhen Yao , Chaofeng Li , Zheng H. Zhu

This paper develops a novel 3D brick element by Nodal Position Finite Element Method (NPFEM) to effectively model rotating solids. It uses nodal positions instead of nodal displacements to formulate element’s strain and kinetic energies. This approach effectively avoids computational errors caused by spurious strains induced by large rigid-body rotations and can automatically account for stiffening effects arising from centrifugal forces. By directly solving for the positions of rotating elastic solids using Hamiltonian canonical equations, the new 3D NPFEM brick element allows elastic deformation to be efficiently and accurately extracted by subtracting the rigid-body motion from these positions. Additionally, the ability of the new 3D NPFEM brick element to model bending deformation is enhanced by directly introducing incompatible modes into the element shape functions. Numerical validation shows that the new 3D NPFEM brick element accurately models and analyzes the elastic deformation of rotating blades. It automatically captures nonlinear frequency responses of rotating solids without requiring special boundary and loading condition treatments commonly used in classic FEM. This advancement offers significant advantages by avoiding errors when modeling complex rotating solids or machines, thereby improving computational efficiency and accuracy.

本文采用节点位置有限元法（NPFEM）开发了一种新的三维砖块单元，以有效地模拟旋转实体。它用节点位置代替节点位移来表示单元的应变和动能。该方法有效地避免了由于刚体大旋转引起的伪应变引起的计算误差，并能自动考虑离心力引起的加筋效应。通过使用哈密顿正则方程直接求解旋转弹性固体的位置，新的三维NPFEM砖单元可以通过从这些位置减去刚体运动来有效准确地提取弹性变形。此外，通过在单元形状函数中直接引入不相容模态，提高了新型三维NPFEM砖单元模拟弯曲变形的能力。数值验证表明，所建立的三维NPFEM砖单元能够准确地模拟和分析旋转叶片的弹性变形。它可以自动捕获旋转固体的非线性频率响应，而不需要经典有限元中常用的特殊边界和加载条件处理。这一进步提供了显著的优势，避免了建模复杂旋转固体或机器时的错误，从而提高了计算效率和准确性。

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引用次数: 0

A refined aeroelastic beam finite element for the stability analysis of flexible subsonic wings 用于柔性亚音速机翼稳定性分析的精细化气动弹性梁有限元

IF 4.4 2区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Structures

Pub Date : 2025-01-15 DOI: 10.1016/j.compstruc.2024.107618

Carmelo Rosario Vindigni , Giuseppe Mantegna , Calogero Orlando , Andrea Alaimo , Marco Berci

In this work, a novel finite element approach for the computational aeroelastic analysis of flexible lifting structures in subsonic flow is presented. The numerical simulation of the fluid-structure interaction relies on the physical concept and mathematical formulation of an aeroelastic beam element, that is based on Euler-Bernoulli and De Saint-Venant theories for the structure dynamics and modified strip theory for the unsteady airload. An implementation of the unsteady vortex lattice method is used to correct standard strip theory in the time domain, considering the actual wing geometry and taking the aerodynamic effects of its sweep, aspect ratio and taper ratio into account. The effects of shed and trailed vorticity on the sectional load development and distribution are also accounted for, within a hybrid semi-analytical reduced-order aerodynamic model. Building on previous works, the present computational framework for aeroelastic modelling and simulations of flexible lifting structures is investigated and validated through a parametric stability assessment of swept tapered wings. The aeroelastic beam element proves to be an intuitive, reliable and efficient reduced-order tool, well suited for the preliminary multidisciplinary design and optimisation of flexible aircraft.

在这项工作中，提出了一种新的有限元方法用于亚音速流动中柔性提升结构的计算气动弹性分析。流固耦合的数值模拟依赖于气动弹性梁单元的物理概念和数学公式，即基于欧拉-伯努利和德圣维南理论的结构动力学和修正条理论的非定常气动载荷。采用非定常涡点阵法在时域上对标准条形理论进行了修正，考虑了实际机翼几何形状，并考虑了机翼的后掠、展弦比和锥度比对气动性能的影响。在混合半解析降阶气动模型中，还考虑了落涡和尾涡对截面载荷发展和分布的影响。在前人工作的基础上，通过对后掠锥形机翼的参数稳定性评估，对柔性升力结构气动弹性建模和仿真的计算框架进行了研究和验证。气动弹性梁单元是一种直观、可靠、高效的降阶工具，非常适合于柔性飞机的多学科初步设计和优化。

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引用次数: 0

Ground structure method-based stiffener layout topology optimization for horizontal machining center headstock cover plate 基于地面结构法的卧式加工中心主轴箱盖板加劲板布置拓扑优化

IF 4.4 2区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Structures

Pub Date : 2025-01-15 DOI: 10.1016/j.compstruc.2024.107633

Hongyu Liu , Zheng Qiu , Jun Shi , Jianhong Sun , Song Zhang

Structural dynamic performance of a machine tool greatly affects machining precision and productivity. One effective approach in improving the dynamic performance is by applying topology design optimization to the machine tool structure. A method based on the Ground Structure Method (GSM) is established to optimize the layout of stiffener structure. The GSM is employed for the construction of the stiffener. The optimal layout of the stiffeners is obtained by optimizing the thickness of each stiffener and penalizing intermediate thicknesses to ensure a clear layout. A topology optimization method based on maximizing the natural frequency is established to achieve maximum natural frequency design of stiffener plate. Finally, a few examples are presented to demonstrate the efficacy of the proposed method in enhancing the basic frequency of the structure. The method has been effectively utilized in the optimal design of the machine tool headstock cover plate. As a result, the lowest six natural frequencies of the headstock are increased by 17.83 %, 17.88 %, 5.99 %, 5.58 %, 19.52 % and 14,53 %, respectively. The new approach outlined in this paper serves as a valuable reference for optimizing the dynamic characteristics of machine tools.

机床结构动态性能对加工精度和生产率有很大影响。对机床结构进行拓扑优化设计是提高机床动态性能的有效途径之一。建立了一种基于地面结构法（GSM）的加劲结构布局优化方法。GSM用于加劲筋的构造。通过对各加劲筋厚度进行优化，并对中间加劲筋厚度进行惩罚，得到加劲筋的最优布置，保证了加劲筋布局的清晰。为实现加筋板的最大固有频率设计，建立了一种基于固有频率最大化的拓扑优化方法。最后，通过算例验证了该方法在提高结构基本频率方面的有效性。该方法已有效地应用于机床主轴箱盖板的优化设计中。结果表明，主轴箱的最低6个固有频率分别提高了17.83 %、17.88 %、5.99 %、5.58 %、19.52 %和14.53 %。本文提出的新方法为机床动态特性的优化提供了有价值的参考。

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引用次数: 0

A space-time approach for the simulation of brittle fracture with phase-field models in elastodynamics 弹性动力学中相场模型模拟脆性断裂的时空方法

IF 4.4 2区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Structures

Pub Date : 2025-01-15 DOI: 10.1016/j.compstruc.2024.107616

F.K. Feutang, S. Lejeunes, D. Eyheramendy

A space-time approach is proposed to simulate the propagation of brittle cracks in an isotropic and elastic solid in dynamics. We adopt the so called phase-field description of crack that is based on a variational representation of fracture mechanics. Due to this variational structure, the crack initiation and propagation can be then described thanks to a well chosen potential. In this approach, we propose to consider a space-time potential to derive the appropriate Euler equations on the space-time domain. A time discontinuous Galerkin approach is used and adapted to damage and elastodynamics such as to be able to account of time singularities in the considered fields. This approach follows a previous work done on elastodynamics (see [47]) in which we have proposed a stabilized formulation with the help of least square terms. The proposed space-time potential is discretized with either standard finite-elements (ST-FE) or isogeometric analysis (ST-IGA). We apply this approach to different numerical examples including dynamic fragmentation.

提出了一种时空动力学方法来模拟各向同性弹性固体中脆性裂纹的扩展。我们采用基于断裂力学变分表示的所谓裂纹相场描述。由于这种变分结构，裂纹的起裂和扩展可以用一个选择好的势来描述。在这种方法中，我们建议考虑一个时空势来在时空域上推导适当的欧拉方程。时间不连续伽辽金方法用于损伤和弹性动力学，以便能够考虑所考虑领域的时间奇点。这种方法遵循了先前在弹性动力学方面所做的工作（见[47]），在该工作中，我们利用最小二乘项提出了一个稳定的公式。提出的时空势用标准有限元（ST-FE）或等几何分析（ST-IGA）进行离散化。我们将这种方法应用于不同的数值例子，包括动态碎片。

引用次数: 0

A framework for developing a machine learning-based finite element model for structural analysis 用于开发用于结构分析的基于机器学习的有限元模型的框架

IF 4.4 2区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Structures

Pub Date : 2025-01-15 DOI: 10.1016/j.compstruc.2024.107617

Gang Li, Rui Luo, Ding-Hao Yu

This paper presents a machine learning-based finite element construction method (MLBFE) to predict a precise strain field with minimal nodes. The method first establishes a standardized MLBFE model via the substructure concept and the static condensation method. Then, a training data collection method involving nodal displacements and strain fields, and considering (1) boundary continuity, (2) strain field continuity, and (3) the effect of rigid body motion, is developed. Furthermore, multivariate linear regression is adopted as the strain field prediction model for the MLBFE. The stiffness matrix and restoring forces of the MLBFE are calculated by employing the principle of virtual work and considering rigid body motion. Compared with common finite element models, the MLBFE enables refined structural simulation with fewer elements and nodes, reducing the number of degrees of freedom and computational costs. Moreover, the MLBFE exhibits high generalizability because it does not rely on specific structures or materials. This paper provides a detailed establishment of MLBFE-based planar elements and investigates the impact of the elemental settings on the computational accuracy of the elastic structural response. The ability of the MLBFE for nonlinear structural analysis is also verified.

本文提出了一种基于机器学习的有限元构建方法（MLBFE）来精确预测最小节点应变场。该方法首先通过子结构概念和静态凝结法建立了标准化的MLBFE模型。然后，提出了考虑(1)边界连续性、(2)应变场连续性、(3)刚体运动影响的节点位移和应变场训练数据采集方法。在此基础上，采用多元线性回归模型作为MLBFE的应变场预测模型。采用虚功原理，考虑刚体运动，计算了MLBFE的刚度矩阵和恢复力。与普通有限元模型相比，MLBFE可以用更少的元素和节点进行精细的结构模拟，从而减少了自由度和计算成本。此外，由于它不依赖于特定的结构或材料，MLBFE具有很高的通用性。本文详细建立了基于mlbfe的平面单元，并研究了单元设置对弹性结构响应计算精度的影响。验证了MLBFE对非线性结构分析的能力。

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引用次数: 0

Impact of non-local damage formulation on chloride transport modeling in concrete 非局部损伤公式对混凝土中氯离子输运模型的影响

IF 4.7 2区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Structures

Pub Date : 2025-01-10 DOI: 10.1016/j.compstruc.2025.107648

Pavel Trávníček, Jiří Němeček, Tomáš Koudelka, Jaroslav Kruis

Reinforced concrete structures, such as roads and bridges, are exposed to chloride ingress, leading to steel reinforcement corrosion and reduced service life. Accurate numerical simulations of chloride ingress must account for damage caused by loading, as higher damage increases diffusion. This paper analyzes the impact of selected damage evolution laws and non-local formulations on the diffusion coefficient. The results show significant variations in load capacity (up to 20%) and damage extent (up to 72%) depending on the chosen model and averaging technique, which affects chloride diffusion modeling. Two diffusion models—Kurumatani et al. (2017) [49] and a new model by Trávníček et al. (2024) [52]—were compared for chloride penetration, with the latter validated using experimental data from a cracked reinforced concrete beam. Both diffusion models and four non-local damage variants were assessed in a Brazilian splitting test, showing differences in chloride concentration of up to 475%. This highlights the critical impact of selecting an appropriate damage model and a particular non-local formulation based on spatial averaging.

钢筋混凝土结构，如道路和桥梁，暴露于氯化物的进入，导致钢筋腐蚀，降低使用寿命。准确的数值模拟氯化物的进入必须考虑到由加载引起的损伤，因为更高的损伤会增加扩散。本文分析了所选择的损伤演化规律和非局部公式对扩散系数的影响。结果表明，根据所选择的模型和平均技术，载荷能力（高达20%）和损伤程度（高达72%）存在显著差异，这影响了氯化物扩散建模。对两种扩散模型——kurumatani等人（2017）[49]和Trávníček等人（2024）[52]——进行了氯离子渗透的比较，后者使用裂缝钢筋混凝土梁的实验数据进行了验证。在巴西劈裂试验中，对扩散模型和四种非局部损伤变体进行了评估，结果显示氯化物浓度差异高达475%。这突出了选择合适的损伤模型和基于空间平均的特定非局部公式的关键影响。

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引用次数: 0

An analytical approach to the sensitivity analysis of semi-recursive ODE formulations for multibody dynamics 多体动力学半递归ODE公式灵敏度分析的解析方法

IF 4.7 2区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Structures

Pub Date : 2025-01-10 DOI: 10.1016/j.compstruc.2024.107642

Álvaro López Varela, Daniel Dopico Dopico, Alberto Luaces Fernández

Sensitivity analysis is an extremely powerful tool in many applications such as in the optimization of the dynamics of multibody systems with gradient-based methods. Sensitivity calculations are computationally burdensome and, depending on the method chosen for differentiation and the set of dynamic equations, they could result highly inefficient. Semi-recursive dynamic methods are seldom studied analytically in terms of sensitivity analysis due to their complexity, even though their dynamic performance is usually among the most efficient.

灵敏度分析在许多应用中都是极为强大的工具，例如在使用基于梯度的方法优化多体系统动力学时。灵敏度计算是一项繁重的计算工作，而且根据所选的微分方法和动态方程组的不同，灵敏度计算的效率可能非常低。尽管半递归动态方法的动态性能通常是最高效的，但由于其复杂性，很少从灵敏度分析的角度对其进行分析研究。

引用次数: 0

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