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Tension-compression-shear coupled plastic-damage thin-layer element model to simulate seismic large deformation failure of concrete dams 混凝土坝地震大变形破坏的拉-压-剪耦合塑性损伤薄层单元模型
IF 4.8 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-11-10 DOI: 10.1016/j.compstruc.2025.108018
Tianyu Zhou, Jinting Wang, Jianwen Pan
In order to simulate the whole process of concrete dams from small deformation damage to large deformation failure under seismic load, this study proposed a tension–compression-shear coupled plastic-damage thin-layer element model. Based on continuum mechanics and cohesive zone theory, this model condenses the plastic-damage behavior of concrete into the thin-layer element. The constitutive model of the thin layer element is constructed using the yield surface based on the Coulomb’s law and a non-associated flow rule. Subsequently, the tensile-shear test of concrete with double notches, the direct shear test of concrete, and the cyclic loading test are simulated to verify the proposed model. Finally, the failure process of a concrete dam is simulated, the results show that the proposed tension–compression-shear coupled plastic-damage thin-layer element model aligns well with existing continuous nonlinear model in small deformation stage and effectively captures failure processes in large deformation stage.
为了模拟地震荷载作用下混凝土坝从小变形破坏到大变形破坏的全过程,提出了拉-压-剪耦合塑性损伤薄层单元模型。该模型基于连续介质力学和内聚区理论,将混凝土的塑性损伤行为浓缩为薄层单元。基于库仑定律和非关联流动规律,利用屈服面建立了薄层单元的本构模型。随后,通过双缺口混凝土的拉剪试验、混凝土的直剪试验和循环加载试验对模型进行了仿真验证。最后,对某混凝土大坝的破坏过程进行了仿真,结果表明,所建立的拉-压-剪耦合塑性损伤薄层单元模型与已有的小变形阶段连续非线性模型吻合良好,且能有效地捕捉大变形阶段的破坏过程。
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引用次数: 0
Thermo-elastic topology optimization for lightweight structures with temperature- and stress-dependent thermal contact resistance 具有温度和应力相关热接触电阻的轻量化结构的热弹性拓扑优化
IF 4.8 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-11-10 DOI: 10.1016/j.compstruc.2025.108030
Zhi-Wei Qiu , Dong Wei , Wen-Yang Peng , Gang-Feng Wang , Guang-Kui Xu , Yan-Xia Du
Thermal contact resistance plays a crucial role in interface heat transfer in multi-layer structures such as aerospace and electronic devices. However, conventional topology optimization neglects the nonlinearity and design-dependent issues caused by thermo-elastic contact. This paper presents a novel computational framework for thermo-mechanical bidirectional coupling topology optimization that incorporates temperature- and stress-dependent thermal contact resistance, formulating a lightweight optimization model subject to constraints on the compliance and temperature. Within this framework, the discontinuous Galerkin finite element method is integrated with the continuous finite element method to solve numerical discontinuities in contact problems. Furthermore, the spatial distribution of thermal contact resistance within thermo-elastic structures is modeled using the semi-empirical model. To address both the temperature dependence of material properties and the temperature-stress dependence of thermal contact resistance, a hybrid sensitivity analysis scheme utilizing the adjoint method is developed and verified. Finally, two numerical examples demonstrate the effectiveness of the proposed framework. In addition, dynamic thermal contact resistance leverages its inherent interfacial temperature discontinuity to provide enhanced design flexibility for optimization models with dual-temperature constraints. Compared to the models of neglecting thermal contact resistance or assuming constant thermal contact resistance, the dynamic thermal contact resistance model achieves a lightweight design.
热接触电阻在航空航天和电子器件等多层结构的界面传热中起着至关重要的作用。然而,传统的拓扑优化忽略了热弹性接触引起的非线性和设计相关问题。本文提出了一种新型的热-机械双向耦合拓扑优化计算框架,该计算框架结合了温度和应力相关的热接触电阻,建立了一个受柔度和温度约束的轻量化优化模型。在此框架下,将不连续伽辽金有限元法与连续有限元法相结合,求解数值不连续接触问题。在此基础上,利用半经验模型对热弹性结构内部的接触热阻空间分布进行了建模。为了解决材料性能的温度依赖性和热接触电阻的温度-应力依赖性,开发了一种利用伴随法的混合灵敏度分析方案并进行了验证。最后,通过两个算例验证了所提框架的有效性。此外,动态接触热阻利用其固有的界面温度不连续性,为具有双温度约束的优化模型提供了增强的设计灵活性。与忽略接触热阻或假设接触热阻恒定的模型相比,动态接触热阻模型实现了轻量化设计。
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引用次数: 0
Topology optimization-enabled destructive interference metastructure design for flexural wave manipulation 基于拓扑优化的弯曲波操纵相消干涉元结构设计
IF 4.8 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-11-08 DOI: 10.1016/j.compstruc.2025.108031
Long Liu , Dunhui Yao , Ran Zheng , Jianbing Hua , Bing Yi
Destructive interference-based mechanical metamaterials hold promise for manipulating flexural waves in host structures, demonstrating superior performance in mitigating mechanical vibrations over a broad frequency range. This paper presents an embedded phononic structure designed to attenuate flexural wave propagation in beam structures, using the topology optimization method. First, the theoretical framework for flexural wave propagation in a beam structure is derived. Then, an optimization objective is formulated to manipulate the flexural wavelength, and the solid isotropic material penalization (SIMP) method is employed to optimize the material distribution of the beam cross-section. Subsequently, an embedded phononic structure based on destructive interference is designed to control flexural waves in the beam. Finally, numerical simulations are conducted to evaluate the performance of the proposed method in attenuating flexural wave propagation. The results confirm the effectiveness of the embedded phononic structure for bending wave mitigation in beam structures. This study represents a novel approach to designing mechanical vibration absorbers based on destructive interference for flexural wave manipulation with assistance of topology optimization method.
基于破坏性干涉的机械超材料有望在宿主结构中操纵弯曲波,在广泛的频率范围内显示出优异的减轻机械振动的性能。本文采用拓扑优化方法设计了一种嵌入式声子结构,用于衰减梁结构中的弯曲波传播。首先,推导了弯曲波在梁结构中传播的理论框架。然后,制定了弯曲波长的优化目标,并采用固体各向同性材料惩罚(SIMP)方法对光束截面的材料分布进行了优化。随后,设计了一种基于相消干涉的嵌入式声子结构来控制光束中的弯曲波。最后进行了数值模拟,评价了该方法对弯曲波传播的衰减性能。研究结果证实了嵌入式声子结构在梁结构中抑制弯曲波的有效性。本研究提出了一种利用拓扑优化方法设计基于相消干涉的机械减振器的新方法。
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引用次数: 0
An efficient computational approach for generating synthetic data to train neural networks in concrete bridge monitoring 混凝土桥梁监测中生成综合数据训练神经网络的有效计算方法
IF 4.8 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-11-06 DOI: 10.1016/j.compstruc.2025.107995
D. Fusco, C. Rinaldi, D. Addessi, V. Gattulli
Machine-learning tools can automate inspection and monitoring of concrete bridges, but they require large, labeled datasets that encompass many damage scenarios. Conventional two-dimensional and three-dimensional nonlinear finite element models involve a high computational burden, which limits their practicality for generating large-scale datasets. This study proposes an efficient physics-based framework that couples a force-based fiber beam element with an enhanced damage-plasticity constitutive law accounting for partial crack closure, thus reproducing both nonlinear static responses and frequency shifts associated with beam cracking that underpin vibration-based Structural Health Monitoring. Validation against a prestressed beam laboratory test and the full-scale Alveo Vecchio viaduct demonstrates that the model matches load-displacement curves and crack-related frequency variations, while significantly reducing the computational burden compared to two-dimensional and three-dimensional finite element models. The resulting efficiency enables the execution of a large number of nonlinear simulations spanning elastic, cracking and yielding regimes. These synthetic responses train two neural networks for damage identification: (i) a Nonlinear AutoRegressive network that performs unsupervised novelty detection and (ii) a Long Short-Term Memory for supervised time series classification. Together the networks detect and classify damage with high accuracy in real time, illustrating how simulation-driven datasets can accelerate physics-informed Structural Health Monitoring of ageing bridge infrastructure.
机器学习工具可以自动检查和监测混凝土桥梁,但它们需要包含许多损坏场景的大型标记数据集。传统的二维和三维非线性有限元模型计算量大,限制了其在大规模数据集生成中的实用性。本研究提出了一种有效的基于物理的框架,该框架将基于力的纤维梁单元与考虑部分裂纹闭合的增强损伤塑性本构律耦合在一起,从而再现与梁裂纹相关的非线性静态响应和频移,从而支持基于振动的结构健康监测。通过预应力梁实验室试验和全尺寸Alveo Vecchio高架桥的验证表明,该模型符合荷载-位移曲线和裂纹相关频率变化,同时与二维和三维有限元模型相比,显著减少了计算量。由此产生的效率使执行大量的非线性模拟跨越弹性,开裂和屈服的制度。这些综合响应训练了两个用于损伤识别的神经网络:(i)执行无监督新颖性检测的非线性自回归网络和(ii)用于监督时间序列分类的长短期记忆网络。这些网络一起以高精度实时检测和分类损伤,说明了仿真驱动的数据集如何加速老化桥梁基础设施的物理信息结构健康监测。
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引用次数: 0
A peridynamics-based mesoscale multi-physics coupling model for chloride induced corrosion-cracking in concrete and durability analysis 基于周动力学的混凝土氯离子腐蚀开裂中尺度多物理场耦合模型及耐久性分析
IF 4.8 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-11-06 DOI: 10.1016/j.compstruc.2025.108016
Feifan Zhang, Wenliang Qiu, Meng Jiang, Haiping Wang, Qingmao Ye
This study addresses the deterioration of reinforced concrete due to chloride ion erosion by incorporating mass transfer and corrosion electrochemistry theory into peridynamics, proposing a peridynamics-based mesoscale multi-physical computational model. This model establishes a coupling between chloride ion erosion, rebar corrosion, and concrete cracking, enabling a comprehensive description of the entire process of corrosion-induced concrete cracking under chloride attack. Due to the explicit computation scheme and non-local characteristics of peridynamics, the proposed model effectively overcomes the convergence issues inherent in existing methods, such as phase-field FEM and extended FEM. The validity and accuracy of the proposed model were rigorously validated through systematic comparison with existing experimental data. The influence of material points density, coupled erosion-cracking effects, aggregate randomness, and multi-rebar corrosion impacts on concrete cracking progression were systematically investigated. In addition, a comprehensive parametric investigation was conducted to quantify the influence of key geometrical and material parameters on the corrosion-induced cracking behavior in concrete structures.
本研究通过将传质和腐蚀电化学理论结合到周期动力学中,解决了氯离子侵蚀引起的钢筋混凝土劣化问题,提出了一个基于周期动力学的中尺度多物理计算模型。该模型建立了氯离子侵蚀、钢筋腐蚀和混凝土开裂之间的耦合关系,能够全面描述氯离子侵蚀下混凝土腐蚀开裂的整个过程。该模型由于具有明确的计算格式和周期动力学的非局部特性,有效地克服了相场有限元法和扩展有限元法等现有方法的收敛性问题。通过与已有实验数据的系统比较,严格验证了所提模型的有效性和准确性。系统研究了材料点密度、耦合侵蚀-开裂效应、骨料随机性和多根钢筋腐蚀对混凝土开裂进程的影响。此外,还进行了全面的参数化研究,以量化关键几何参数和材料参数对混凝土结构腐蚀开裂行为的影响。
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引用次数: 0
Data-driven modeling of the plastic anisotropy of sheet metal with an investigation of its material symmetry based on cylindrical cup drawing experiments 基于圆柱杯拉伸实验的金属薄板塑性各向异性数据驱动建模及其材料对称性研究
IF 4.8 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-11-05 DOI: 10.1016/j.compstruc.2025.108011
Stefan C. Soare , Seonghwan Choi , Myoung-Gyu Lee
Predicting the outcome of a cylindrical cup drawing experiment is one of the most difficult challenges for both the constitutive model of the sheet and the finite element simulation of the experiment. Results using conventional yield functions are often limited to qualitative predictions (number of ears and their locations). Here we retain the standard phenomenology of metal plasticity and use instead a data-driven approach to the modeling of its constitutive elements—yielding and flow. For better quantitative predictions, the issue of the asymmetries of the cup height profiles observed in many cupping experiments needs to be addressed. For this, we construct a weakly orthotropic modeling function, based on a feed-forward neural network. Central to such data-driven constitutive modeling is the data generating scheme. For sheet metal plasticity we propose an enhanced interpolation scheme allowing for a thorough control of the yielding and flow properties in the drawing regime. The interpolation scheme is ideally suited for inferring data from complex experiments such as cup drawing. We demonstrate our methodology by performing simulations of two cupping experiments, with aluminum alloys AA2090T3 and AA6016T4. By comparison with orthotropic models, the weakly orthotropic neural network model shows the best quantitative agreement with the outcome of the experiments.
圆柱杯拉伸实验结果的预测是板料本构模型和实验有限元模拟的难点之一。使用传统产量函数的结果通常局限于定性预测(耳数及其位置)。在这里,我们保留了金属塑性的标准现象学,并使用数据驱动的方法来建模其本构元素-屈服和流动。为了更好的定量预测,在许多拔罐实验中观察到的杯子高度轮廓的不对称问题需要解决。为此,我们构造了一个基于前馈神经网络的弱正交各向异性建模函数。这种数据驱动的本构建模的核心是数据生成方案。对于钣金塑性,我们提出了一种增强的插值方案,允许在拉伸状态下彻底控制屈服和流动特性。该插值方案非常适合于从诸如杯形图等复杂实验中推断数据。我们通过模拟AA2090T3和AA6016T4铝合金的拔罐实验来验证我们的方法。通过与正交各向异性模型的比较,弱正交各向异性神经网络模型与实验结果的定量一致性最好。
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引用次数: 0
A fully explicit Lagrangian-Lagrangian fluid-structure interaction solver with GPU acceleration based on a physically consistent moving particle hydrodynamics 基于物理一致运动粒子流体力学的全显式拉格朗日-拉格朗日流固耦合求解器
IF 4.8 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-10-31 DOI: 10.1016/j.compstruc.2025.108012
Ryo Yokoyama, Kai Wang, Shuichiro Miwa, Koji Okamoto
Understanding fluid–structure interaction is essential across many engineering applications. This work presents a fully explicit Lagrangian–Lagrangian solver based on the Moving Particle Hydrodynamics method that treats fluids and structures within a unified analytical framework. A weakly compressible fluid model and a hyperelastic structural model are combined, and the coupling is achieved with a fluid–structure acceleration–based approach that enforces consistent momentum exchange at the interface. Verification and validation include the two-dimensional Turek–Hron benchmarks and three-dimensional dam-break simulations involving elastic obstacles. The solver reproduces structural oscillations, free-surface evolution, and stress distributions in close agreement with analytical references, experimental measurements, and results from established fluid–structure interaction solvers. Complex behaviors such as splash formation and large elastic deformations are captured without ad hoc stabilization. A scalability study demonstrates efficient use of graphics processing units for simulations up to twelve million particles, while reduced efficiency appears for very small particle counts due to memory-allocation overhead. Overall, the solver exhibits physical consistency, strong scalability for large-scale problems, and robustness in highly nonlinear conditions. These capabilities make it a practical, parameter-free tool for high-fidelity prediction in nuclear safety, structural impact assessment, and free-surface flow problems.
理解流固相互作用在许多工程应用中是必不可少的。这项工作提出了一个完全显式的拉格朗日-拉格朗日求解基于移动粒子流体动力学方法,处理流体和结构在一个统一的分析框架。将弱可压缩流体模型和超弹性结构模型相结合,并通过基于流体-结构加速度的方法实现耦合,该方法在界面处强制进行一致的动量交换。验证和验证包括二维Turek-Hron基准和涉及弹性障碍物的三维溃坝模拟。该求解器再现了结构振荡、自由表面演化和应力分布,与分析参考文献、实验测量和已建立的流固耦合求解器的结果密切一致。复杂的行为,如飞溅形成和大的弹性变形捕捉没有特别的稳定。一项可扩展性研究表明,图形处理单元可以有效地模拟多达1200万个粒子,而对于非常小的粒子计数,由于内存分配开销,效率会降低。总体而言,求解器表现出物理一致性,对大规模问题具有很强的可扩展性,以及在高度非线性条件下的鲁棒性。这些能力使其成为一种实用的、无参数的工具,可用于核安全、结构影响评估和自由表面流动问题的高保真预测。
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引用次数: 0
Enhanced interface dynamics in second-order Cahn–Hilliard models: A comparative analysis with applications to convection-diffusion 二阶Cahn-Hilliard模型中增强的界面动力学:与对流扩散应用的比较分析
IF 4.8 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-10-31 DOI: 10.1016/j.compstruc.2025.108009
Josef Musil , Jiří Fürst
This paper presents a numerical investigation of various formulations of the Cahn–Hilliard (CH) equation for phase separation in binary mixtures. By comparing first- and second-order CH formulations across a suite of diffusive and convective test cases, we demonstrate that second-order models not only produce sharper diffuse- and convective-interface representations but also substantially accelerate phase separation, enabling more rapid attainment of pure-phase states. A key contribution is the development of efficient, unconditionally energy stable numerical scheme for the doubly-degenerate second-order model, implemented in OpenFOAM and applied to convection–diffusion problems. Future work will address coupling of the model with the Navier–Stokes (NS) equations to capture full two-phase flow dynamics despite necessary modifications to the chemical potential.
本文对二元混合物相分离的Cahn-Hilliard (CH)方程的各种形式进行了数值研究。通过在一系列扩散和对流测试案例中比较一阶和二阶CH公式,我们证明了二阶模型不仅可以产生更清晰的扩散和对流界面表示,而且可以大大加速相分离,从而更快地达到纯相状态。一个关键的贡献是开发了有效的,无条件的能量稳定的二阶模型的数值格式,在OpenFOAM中实现并应用于对流扩散问题。未来的工作将解决该模型与Navier-Stokes (NS)方程的耦合问题,以捕获完整的两相流动力学,尽管对化学势进行了必要的修改。
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引用次数: 0
Research on the hydraulic fracturing processes of side-fissured concrete: meshless crack morphology simulations and cracking mechanisms discussion 侧裂混凝土水力破裂过程研究:无网格裂缝形态模拟及裂缝机理探讨
IF 4.8 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-10-30 DOI: 10.1016/j.compstruc.2025.108015
Ting Jiang , Jilin Wang , Ding Nie , Wenbing Zhang , Shuyang Yu
In the field of hydraulic engineering, the safety of high-head concrete dams is of vital importance, while hydraulic fracturing seriously threatens engineering safety. This study focuses on the hydraulic fracturing process of side-fissured concrete. Through improving the Smoothed Particle Hydrodynamics algorithm, meshless simulations of hydraulic fracturing crack morphology at the mesoscopic scale of concrete are achieved, and the cracking mechanisms are deeply discussed. Firstly, a failure coefficient ξ considering particle failure is introduced to modify the Smoothed Particle Hydrodynamics momentum equation, realizing the progressive failure process of particles. Secondly, a four-phase generation program for concrete aggregates, pores, transition zones, and mortar matrix is embedded in the Smoothed Particle Hydrodynamics program to construct a mesoscopic structure modeling method. Finally, four types of Smoothed Particle Hydrodynamics particles (water particles, aggregate particles, transition zone particles, and mortar particles) are defined. The application of internal water pressure and interaction mechanisms are clarified, enabling the simulation of hydraulic fracturing in concrete within the Smoothed Particle Hydrodynamics framework. Numerical results show that: The length of prefabricated fissures significantly affects hydraulic fracturing morphology. Larger lengths lead to more complex crack propagation paths, stronger interactions with aggregates, and higher particle damage counts. The fissure inclination angle alters crack direction and the timing of aggregate interaction. Small angles result in weak aggregate interaction but high damage counts, while large angles concentrate damage. An increase in aggregate percentage enhances concrete heterogeneity and the number of interfacial transition zones (ITZ), causing cracks to easily propagate around aggregates and form complex fracture networks, with damage counts increasing with higher percentages. At a fixed aggregate percentage, smaller aggregate sizes (with more particles) lead to more frequent crack-aggregate interactions and higher damage counts, whereas larger sizes result in lower counts. This research provides references for understanding the hydraulic fracturing mechanisms of concrete dams, and the proposed improved Smoothed Particle Hydrodynamics algorithm offers a new method for mesoscopic simulations of hydraulic fracturing in concrete.
在水利工程领域,高水头混凝土坝的安全至关重要,而水力压裂严重威胁着工程安全。本文主要研究侧裂混凝土的水力破裂过程。通过对光滑颗粒流体力学算法的改进,实现了混凝土细观尺度下水力压裂裂缝形态的无网格模拟,并对裂缝机理进行了深入探讨。首先,引入考虑颗粒破坏的破坏系数ξ来修正光滑颗粒流体动力学动量方程,实现颗粒的渐进破坏过程;其次,在smooth Particle Hydrodynamics程序中嵌入混凝土骨料、孔隙、过渡区和砂浆基质的四阶段生成程序,构建细观结构建模方法。最后,定义了四种类型的光滑粒子流体力学粒子(水粒子、聚集体粒子、过渡区粒子和砂浆粒子)。阐明了内部水压和相互作用机制的应用,实现了在光滑颗粒流体力学框架内对混凝土水力压裂的模拟。数值结果表明:预制裂缝长度对水力压裂形态有显著影响。较大的长度导致更复杂的裂纹扩展路径,与聚集体的相互作用更强,更高的颗粒损伤计数。裂缝倾角改变了裂缝方向和骨料相互作用的时间。小的角导致聚集相互作用弱,但损伤数高,而大的角导致损伤集中。骨料含量的增加增加了混凝土的非均质性和界面过渡区(ITZ)的数量,导致裂缝容易在骨料周围传播,形成复杂的裂缝网络,损伤数量随着骨料含量的增加而增加。在固定的骨料百分比下,较小的骨料尺寸(含有更多的颗粒)导致更频繁的裂纹-骨料相互作用和更高的损伤计数,而较大的骨料尺寸导致更低的计数。本研究为理解混凝土大坝水力破裂机理提供了参考,提出的改进的光滑颗粒流体力学算法为混凝土水力破裂细观模拟提供了一种新的方法。
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引用次数: 0
Anisotropic phase-field fracture parameters: Evolutionary algorithm perspective 各向异性相场裂缝参数:进化算法视角
IF 4.8 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-10-29 DOI: 10.1016/j.compstruc.2025.108006
Tota Rakesh Kumar , Marco Paggi
Polylactic acid (PLA) plays a prominent role in medical implants, packaging, and the textile industry, among the various industrial sectors. Components can be efficiently 3D printed by the Fusion Deposition Modeling (FDM) process, which however is inducing a material anisotropy due to the layer-by-layer deposition. The phase field (PF) approach to fracture generalized to handle anisotropic brittle materials is herein critically examined since it offers potential capabilities to simulate crack paths in such materials. Since the formulation is based on an anisotropic structural tensor ω with the incorporation of penalty parameter β, this governs the material fracture energy Gc, the internal length scale lc, and the apparent strength. The novel contribution of the work lies in integrating a metaheuristic machine learning algorithm (MLA) with the PF approach to robustly estimate fracture parameters (Gc, lc and β) and get an insight into epistemic uncertainty of the formulation. Results highlight that particle swarm optimization (PSO) is robust in estimating fracture parameters to reproduce target force-displacement response curves. Sensitivity analysis of fracture parameters reveals the critical role of β in influencing fracture predictions.
在各种工业部门中,聚乳酸(PLA)在医疗植入物、包装和纺织工业中发挥着突出作用。通过熔融沉积建模(FDM)工艺可以有效地3D打印组件,然而,由于逐层沉积,该工艺会引起材料的各向异性。相场(PF)断裂方法推广到处理各向异性脆性材料,因为它提供了模拟这类材料的裂纹路径的潜在能力,因此本文对其进行了严格的研究。由于该公式是基于一个各向异性结构张量ω,并加入了惩罚参数β,这决定了材料的断裂能Gc、内部长度尺度lc和表观强度。这项工作的新贡献在于将元启发式机器学习算法(MLA)与PF方法相结合,以鲁棒估计断裂参数(Gc, lc和β),并深入了解公式的认知不确定性。结果表明,粒子群算法在估计裂缝参数以重现目标力-位移响应曲线方面具有较强的鲁棒性。裂缝参数的敏感性分析揭示了β在影响裂缝预测中的关键作用。
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