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P2PE: A finite element formulation for panel-to-panel cross-laminated timber connections P2PE:板对板交叉层压木材连接的有限元配方
IF 4.7 2区 工程技术 Q1 Mathematics Pub Date : 2024-05-27 DOI: 10.1016/j.compstruc.2024.107404
M.F. Chacón , P. Guindos

This paper presents a new multi-spring finite element formulation called P2PE that simulates the cyclic behavior of panel-to-panel Cross-Laminated Timber (CLT) connections. The formulation comprises five types of uncoupled linear/nonlinear springs representing the fasteners and contact between panels. For instance, the in-plane fastener behavior is simulated with a co-rotational spring and the Modified Richard–Abbott (MRA) model, which is adapted to account for the asymmetry, pinching, degradation, and low-cycle fatigue of timber connections. The model was implemented into ANSYS through user-element/materials, including all computer implementation steps, and can be freely downloaded. The model's response and sensitivity were studied in three demonstrative CLT diaphragms, and it was validated at the connection and assembly stage with benchmark tests. In the first stage, the fastener model was verified with four cyclic CLT connections, while in the second stage, the model was validated with three medium-to-large scale CLT assemblies. The model accurately predicts the stiffness, strength, deformation, slip, and failure mechanisms of both stages. Finally, a parametric analysis of in-plane bending CLT diaphragms was assessed by varying their panel dimensions. This analysis demonstrated that diaphragms with slender panels have larger capacities, fastener energy dissipation, and shear slips but lower ductilities than shorter ones.

本文提出了一种名为 P2PE 的新型多弹簧有限元计算方法,用于模拟板与板之间的交叉层压木材 (CLT) 连接的循环行为。该公式由五种非耦合线性/非线性弹簧组成,分别代表紧固件和面板之间的接触。例如,平面内的紧固件行为是通过同向旋转弹簧和改良理查德-阿博特(MRA)模型模拟的,该模型适用于木材连接的不对称、挤压、退化和低周期疲劳。该模型通过用户元素/材料在 ANSYS 中实施,包括所有计算机实施步骤,并可免费下载。该模型的响应和灵敏度在三个示范性 CLT 横梁中进行了研究,并在连接和组装阶段通过基准测试进行了验证。在第一阶段,用四个循环 CLT 连接验证了紧固件模型;在第二阶段,用三个中大型 CLT 组件验证了该模型。该模型准确预测了两个阶段的刚度、强度、变形、滑移和失效机制。最后,通过改变面板尺寸,对 CLT 连续墙进行了平面弯曲参数分析。该分析表明,与较短的隔墙板相比,细长隔墙板的承载力、紧固件能量耗散和剪切滑移更大,但延展性较低。
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引用次数: 0
Overlapping finite elements for the Navier-Stokes equations 纳维-斯托克斯方程的重叠有限元
IF 4.7 2区 工程技术 Q1 Mathematics Pub Date : 2024-05-25 DOI: 10.1016/j.compstruc.2024.107343
Williams L. Nicomedes , Klaus-Jürgen Bathe , Fernando J. S. Moreira , Renato C. Mesquita

The purpose of this paper is to investigate the performance of a certain family of low-order quadrilateral finite elements in the solution of the stationary Navier-Stokes equations governing incompressible fluid flows. These finite elements are derived from the ‘overlapping finite elements’, first developed for the solution of problems in solid mechanics [5,9,48] and incorporate features of both meshfree and traditional finite element methods. One of their most remarkable properties is the insensitivity to mesh distortions. Also, since the Shepard functions are replaced by a suitable interpolation, the resulting basis functions are entirely polynomial, which allows the numerical integration of the weak forms to be performed with few integration points [6,49]. We also discuss the theoretical reasons for the stability of the solutions, that is, the absence of spurious pressure modes, and show that the proposed discretization scheme passes the relevant inf-sup test.

本文旨在研究低阶四边形有限元族在求解不可压缩流体流动的静态纳维-斯托克斯方程时的性能。这些有限元源于 "重叠有限元",最初是为解决固体力学问题而开发的[5,9,48],并融合了无网格和传统有限元方法的特点。其最显著的特性之一是对网格变形不敏感。此外,由于 Shepard 函数被适当的插值所取代,因此得到的基函数完全是多项式的,这使得弱形式的数值积分只需很少的积分点即可完成[6,49]。我们还讨论了解的稳定性(即不存在虚假压力模式)的理论原因,并证明所提出的离散化方案通过了相关的 inf-sup 检验。
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引用次数: 0
Concrete spalling detection system based on semantic segmentation using deep architectures 基于深度架构语义分割的混凝土剥落检测系统
IF 4.7 2区 工程技术 Q1 Mathematics Pub Date : 2024-05-20 DOI: 10.1016/j.compstruc.2024.107398
Tamanna Yasmin , Duc La , Kien La , Minh Tuan Nguyen , Hung Manh La

This paper presents a method for detecting the location of spalling and assessing the severity level of the spalling in concrete surfaces. The proposed method is constructed based on deep learning architectures and multi-class semantic segmentation. The proposed method can detect each pixel as a non-spalling, a deep-spalling, or a shallow-spalling. The proposed method consists of three different deep learning architectures with several encoders as backbone networks. Both qualitative and quantitative analyses show that the deep learning architecture with a certain encoder network can detect spalling with different severity levels very well. Additionally, the paper proposes a method to analyze the deep spalling areas of concrete to show their severity levels. The performance analysis shows that this approach provides very convincing results with respect to the actual affected spalling areas. The results convey that this paper achieved a higher level of performance for detecting spalling and assessing the severity of the spalling.

本文介绍了一种检测混凝土表面剥落位置和评估剥落严重程度的方法。该方法基于深度学习架构和多类语义分割技术。所提出的方法可以将每个像素检测为非剥落、深剥落或浅剥落。所提出的方法由三种不同的深度学习架构和多个编码器作为骨干网络组成。定性和定量分析都表明,采用特定编码器网络的深度学习架构能很好地检测出不同严重程度的剥落。此外,本文还提出了一种分析混凝土深度剥落区域的方法,以显示其严重程度。性能分析表明,这种方法在实际受影响的剥落区域方面提供了非常令人信服的结果。结果表明,本文在检测剥落和评估剥落严重程度方面达到了较高的性能水平。
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引用次数: 0
Bridge frequency identification using multi-contact responses computed from multi-DOF moving vehicle by nodal distribution method and enhanced integration algorithm 利用节点分布法和增强型积分算法计算的多DOF运动车辆的多接触响应进行桥梁频率识别
IF 4.7 2区 工程技术 Q1 Mathematics Pub Date : 2024-05-15 DOI: 10.1016/j.compstruc.2024.107397
Y.B. Yang , X.Q. Mo , K. Shi , S.Y. Gao , S.K. Tian

This paper presents for the first time a top-down procedure for calculating the multi contact responses from the response of a multi DOF vehicle (containing two bogies and four wheelsets), which can be measured or simulated. Two key steps are involved. First, the nodal distribution method was devised for distributing the vehicle’s responses to those of the four wheelsets. Then by treating the wheelset as a single-DOF system, the contact response is calculated exactly by the enhanced integration algorithm for each time step. Two scenarios are studied. In Scenario 1, the vehicle is kept stationary on the rails, but excited differently via the contact points, by which the transmission of vibration from the wheelsets up to the vehicle components and down again by the present method is validated. In Scenario 2, the vehicle is set to move over a simple bridge, by which the contact responses are shown to outperform the vehicle’s responses in extracting the bridge frequencies, due to the fact that the vehicle’s frequencies were totally eliminated. In addition, the present method has been demonstrated to be of excellent accuracy, efficiency and robustness in each application.

本文首次提出了一种自上而下的程序,用于从可测量或模拟的多 DOF 车辆(包含两个转向架和四个轮组)的响应中计算多接触响应。其中涉及两个关键步骤。首先,设计了节点分布法,将车辆的响应分布到四个轮组的响应上。然后,将车轮组视为单多维系统,通过增强积分算法精确计算每个时间步的接触响应。研究了两种情况。在方案 1 中,车辆在轨道上保持静止,但通过接触点以不同方式进行激励,通过这种方式验证了本方法将振动从轮组向上传递到车辆部件再向下传递的效果。在方案 2 中,车辆被设置为在一座简单的桥梁上行驶,由于车辆的频率被完全消除,因此在提取桥梁频率时,接触点响应优于车辆响应。此外,本方法在每次应用中都被证明具有出色的准确性、效率和稳健性。
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引用次数: 0
A family of minimum residual displacement methods as nonlinear solution schemes for equilibrium path-following in structural mechanics 作为结构力学平衡路径跟踪非线性求解方案的最小残余位移法系列
IF 4.7 2区 工程技术 Q1 Mathematics Pub Date : 2024-05-14 DOI: 10.1016/j.compstruc.2024.107407
Mostafa Salehi Ahmad-Abad , Ali Maghami , Morteza Ghalishooyan , Ahmad Shooshtari

In the realm of nonlinear structural mechanics, tracing load-displacement curves becomes complex when approaching the limit points caused by instability. Multiple ideas have addressed this challenge, dating back to the late 1960s. Despite the integration of various algorithms into commercial finite element software, no single algorithm generally solves all nonlinear structural problems. Moreover, many existing methods are sensitive to initial parameters, e.g. step-length and might have problem with large values. This paper introduces a family of minimum residual displacement methods for tracing equilibrium paths. Our approach can be seen as a generalized framework that provides new methods and encompasses some existing ones as specific instances. We develop and apply straightforward techniques to control residual displacement in nodes, elements, or specific deformation components. We present a comprehensive library of methods implemented in OpenSees, enabling a comparison between our presented methods and the minimum residual displacement method, as well as four well-established techniques. We apply these methods to solve complex geometrically nonlinear problems involving truss, frame, and shell structures. The results highlight the enhanced ability to converge with larger step-length even in highly complex behavioral scenarios and the capacity to reduce the required iterations to converge.

在非线性结构力学领域,当接近不稳定性引起的极限点时,追踪荷载-位移曲线就变得复杂起来。早在 20 世纪 60 年代末,就有多种方法来应对这一挑战。尽管在商业有限元软件中集成了各种算法,但没有一种算法能普遍解决所有非线性结构问题。此外,许多现有方法对初始参数(如步长)很敏感,可能会出现大值问题。本文介绍了一系列用于追踪平衡路径的最小残余位移方法。我们的方法可以看作是一个通用框架,它提供了新的方法,并将一些现有的方法作为具体实例。我们开发并应用直接的技术来控制节点、元素或特定变形组件中的残余位移。我们提供了一个在 OpenSees 中实现的综合方法库,可将我们提出的方法与最小残余位移法以及四种成熟技术进行比较。我们将这些方法用于解决涉及桁架、框架和壳体结构的复杂几何非线性问题。结果表明,即使在行为非常复杂的情况下,采用较大步长的收敛能力也得到了增强,而且还能减少收敛所需的迭代次数。
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引用次数: 0
Non-uniform discretization bond-based peridynamics with constant horizon and a novel volume correction for the cracking behaviors 基于非均匀离散键的周流体力学与恒定地平线,以及针对开裂行为的新型体积修正
IF 4.7 2区 工程技术 Q1 Mathematics Pub Date : 2024-05-13 DOI: 10.1016/j.compstruc.2024.107408
Er-Bao Du, Xiao-Ping Zhou

Cracking behavior investigation is very important in solid mechanics. In this study, a non-uniform discretization bond-based peridynamic (NUD-BBPD) method is proposed to investigate the cracking behavior, in which the new volume correction method for regenerative family material points is proposed based on Monte Carlo statistical approach. When computational domain non-uniform discretization (NUD) is employed, the proposed method eliminates the need to use the variational horizon, and naturally solves the issue of unbalanced force in NUD. Additionally, the force loading condition is revised based on the energy conservation in the proposed method. This revision eliminates the need for fictitious material points when the displacement loading condition is used in simulation, and the drawback of the conventional force loading condition, in which the force is constrained, is also solved. The proposed method is then used to analyze the static and dynamic fractures of solids. The effects of the material points arrangement on the cracking behavior are obtained via a comprehensive comparison, and the numerical results obtained by the proposed method are in good agreement with those obtained by the conventional uniform discretizational peridynamics. Moreover, NUD peridynamics with constant horizon has higher computational efficiency than traditional peridynamics.

开裂行为研究在固体力学中非常重要。本研究提出了一种基于非均匀离散键的周动力学(NUD-BBPD)方法来研究开裂行为,其中基于蒙特卡洛统计方法提出了新的再生族材料点体积修正方法。当采用计算域非均匀离散化(NUD)时,所提出的方法无需使用变分地平线,并自然地解决了 NUD 中的不平衡力问题。此外,该方法还根据能量守恒原则修改了力加载条件。这一修改消除了在模拟中使用位移加载条件时虚构材料点的需要,同时也解决了传统力加载条件中力受约束的缺点。然后,将所提出的方法用于分析固体的静态和动态断裂。通过综合比较,得出了材料点布置对开裂行为的影响,并且提出的方法得到的数值结果与传统均匀离散周动力学得到的结果有很好的一致性。此外,与传统的周动力学相比,恒定水平线的 NUD 周动力学具有更高的计算效率。
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引用次数: 0
A review of peridynamic theory and nonlocal operators along with their computer implementations 围动力学理论和非局部算子及其计算机实现方法综述
IF 4.7 2区 工程技术 Q1 Mathematics Pub Date : 2024-05-10 DOI: 10.1016/j.compstruc.2024.107395
Mehmet Dorduncu , Huilong Ren , Xiaoying Zhuang , Stewart Silling , Erdogan Madenci , Timon Rabczuk

This study presents a comprehensive exploration of Peridynamic (PD) theory, with a specific focus on its theoretical foundations and practical implementations, including various PD formulations and PD operators. The objective is to highlight the unique attributes of each PD formulation and assess their suitability in the framework of material failure simulations by providing an extensive literature review. The research focuses on the bond-based (BB), ordinary state-based (OSB), and non-ordinary state-based (NOSB) PD formulations, offering a thorough understanding of their distinctive characteristics. Moreover, this study presents the importance of the PD operators on the solution of the differential equations. Numerical implementation is a central aspect of this research, providing a detailed flow chart of the computer codes for PD and PD operator models. In order to demonstrate the robustness of the PD formulations, this study presents numerical results, showcasing predictions generated by computer codes that can be accessed online.

本研究全面探讨了周动力(PD)理论,重点关注其理论基础和实际应用,包括各种 PD 公式和 PD 算子。研究的目的是通过广泛的文献综述,突出每种 PD 公式的独特属性,并评估它们在材料失效模拟框架中的适用性。研究重点关注基于粘合剂(BB)、基于普通状态(OSB)和基于非普通状态(NOSB)的 PD 配方,全面了解它们的独特性。此外,本研究还介绍了 PD 算子对微分方程求解的重要性。数值实现是本研究的核心内容,它提供了 PD 和 PD 算子模型计算机代码的详细流程图。为了证明 PD 公式的稳健性,本研究介绍了数值结果,展示了可在线访问的计算机代码生成的预测结果。
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引用次数: 0
Novel non-convex aggregate model for interfacial transition zone (ITZ) mesostructure and diffusivity of concrete 针对界面过渡区(ITZ)中间结构和混凝土扩散性的新型非凸骨料模型
IF 4.7 2区 工程技术 Q1 Mathematics Pub Date : 2024-05-10 DOI: 10.1016/j.compstruc.2024.107399
Mingkun Jia , Junliang Fu , Xianglong Su , Fangyu Han , Wenxiang Xu

This work aims to establish a numerical framework for mesostructure characterization and diffusivity estimation of concrete with non-convex aggregates. Firstly, a new two-dimensional (2D) non-convex aggregate model is proposed by applying contraction deformation to the contour of an ellipse. Then, a 2D three-phase mesostructure of concrete is constructed, which includes simulating a random packing model of non-convex aggregates by the discrete element method (DEM) and forming interfacial transition zones (ITZs) surrounding aggregates based on the hard core-soft shell (HCSS) model. Subsequently, the ITZ area fraction of the 2D three-phase concrete mesostructure is numerically estimated through a Monte Carlo random point sampling method. In addition, a theoretical model of ITZ area fraction incorporating aggregate properties is derived. Lastly, the effective diffusivity of the concrete mesostructure is evaluated by a developed Dual-probability-Brownian motion (DP-BM) scheme. The results show that the effective diffusivity of concrete depends on the competition of the decreasing effect by more tortuous diffusion paths and the increasing effect by a higher ITZ fraction, which can be resulted from a higher packing fraction, a smaller sphericity, and a finer gradation of aggregates. This work has the potential to serve as a foundation for estimating and optimizing the properties of concrete.

本研究旨在建立一个数值框架,用于非凸集料混凝土的中观结构表征和扩散率估算。首先,通过对椭圆轮廓施加收缩变形,提出了一种新的二维(2D)非凸集料模型。然后,构建了混凝土的二维三相介观结构,包括通过离散元法(DEM)模拟非凸集料的随机堆积模型,以及基于硬核-软壳(HCSS)模型在集料周围形成界面过渡区(ITZ)。随后,通过蒙特卡洛随机点取样法对二维三相混凝土中间结构的 ITZ 面积分数进行了数值估算。此外,还得出了包含骨料特性的 ITZ 面积分数理论模型。最后,通过开发的双概率-布朗运动(DP-BM)方案评估了混凝土中间结构的有效扩散性。结果表明,混凝土的有效扩散率取决于更曲折的扩散路径所产生的递减效应和更高的 ITZ 分数所产生的递增效应之间的竞争。这项工作有可能成为估算和优化混凝土性能的基础。
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引用次数: 0
Zonal free element method for free and forced vibration analysis of two- and three-dimensional structures 用于二维和三维结构自由振动和受迫振动分析的区域自由单元法
IF 4.7 2区 工程技术 Q1 Mathematics Pub Date : 2024-05-09 DOI: 10.1016/j.compstruc.2024.107400
Bin Li , Jing-da Li , Hua-yu Liu , Miao Cui , Jun Lv , Bing-bing Xu , Xiao-wei Gao

This paper presents a new numerical method called the zonal free element method (ZFREM) for the free and forced vibration analysis of elastodynamic problems. In this approach, a complex computational domain is divided into some simple zones and generates a series of regularly arranged nodes in each zone, which can improve the accuracy during the analysis of complex models. The distinguishing feature of the ZFREM is that an independent isoparametric element is formed by only one freely chosen surrounding node at each configuration node. In this method, the mass term exists only in the internal nodes, which can accelerate the assembly of the final system equations. Building upon this foundation, the present study developed the Krylov reduced dimensional iterative method, which approximates the solution of the equation system by constructing a lower-dimensional subspace. This approach avoids the complex equation transformations involved in traditional algorithms for solving eigenvalue problems, thereby further enhancing computational efficiency. Moreover, to tackle damped vibration problems encountered in engineering applications, the proposed method is further extended to solve the non-linear forced vibration problems. The accuracy and effectiveness of the method are verified by numerical examples of free and forced vibration problems.

本文提出了一种新的数值方法,称为分区自由单元法(ZFREM),用于弹性力学问题的自由振动和受迫振动分析。在这种方法中,复杂的计算域被划分成一些简单的区域,并在每个区域中生成一系列规则排列的节点,从而提高复杂模型分析的精度。ZFREM 的显著特点是在每个配置节点上仅由一个可自由选择的周边节点构成一个独立的等参数元素。在这种方法中,质量项只存在于内部节点,这可以加速最终系统方程的组装。在此基础上,本研究开发了克雷洛夫降维迭代法,通过构建低维子空间来近似方程系统的解。这种方法避免了解决特征值问题的传统算法中涉及的复杂方程变换,从而进一步提高了计算效率。此外,为了解决工程应用中遇到的阻尼振动问题,所提出的方法进一步扩展到解决非线性受迫振动问题。自由振动和受迫振动问题的数值实例验证了该方法的准确性和有效性。
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引用次数: 0
Automatic calibration of a discrete element model of a masonry arch by swarm intelligence methods 用蜂群智能方法自动校准砌拱离散元件模型
IF 4.7 2区 工程技术 Q1 Mathematics Pub Date : 2024-05-09 DOI: 10.1016/j.compstruc.2024.107401
Ghulam Kibriya , János Botzheim , Ákos Orosz , Katalin Bagi

This paper addresses the automatic calibration of constitutive parameters of the Discrete Element Method (DEM) models of masonry structures. Three swarm intelligence algorithms were applied, which are efficient in problems characterised by the small number of unknown parameters but high computational demand for the evaluation of the target function. Trust-Based Particle Swarm Optimisation (TBPSO) was chosen due to its excellent convergence rate. It was already tested that TBPSO converged faster than the original Genetic Algorithm and Particle Swarm Optimisation Methods. Therefore, TBPSO was compared with two recent and promising methods, the Marine Predator Algorithm (MPA) and the Golden Eagle Optimiser (GEO). The paper also presents a novel two-step approach, which enhances the performance of the tested optimisation strategies. The methodology is capable to account for and precisely find the mode of failure using Convolutional Neural Networks (CNN). The three optimisation methods and the two-step approach were applied on the DEM model of a quasi-static masonry arch collapse experiment from the literature. Performance of the three algorithms in identifying the appropriate constitutive parameters values of the DEM model were compared. Clear evidence on the advantage of the two-step approach with TBPSO is demonstrated. Remarks about different modelling issues are also included.

本文探讨了砌体结构离散元素法(DEM)模型构成参数的自动校准问题。本文应用了三种蜂群智能算法,这些算法对于未知参数数量少但目标函数评估计算量大的问题非常有效。基于信任的粒子群优化(TBPSO)因其出色的收敛速度而被选中。经过测试,TBPSO 的收敛速度快于原始遗传算法和粒子群优化方法。因此,将 TBPSO 与海洋捕食者算法 (MPA) 和金鹰优化器 (GEO) 这两种最新的有前途的方法进行了比较。本文还介绍了一种新颖的两步法,该方法提高了测试优化策略的性能。该方法能够利用卷积神经网络(CNN)解释并精确查找故障模式。三种优化方法和两步法被应用于文献中准静态砌体拱倒塌实验的 DEM 模型。比较了三种算法在确定 DEM 模型的适当构成参数值方面的性能。清楚地证明了 TBPSO 两步法的优势。此外,还对不同的建模问题进行了说明。
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引用次数: 0
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