Engineering Fracture Mechanics最新文献_第7页

Enhanced cellulose paper interfaces with MWCNT/Graphene for improved structural health monitoring and mechanical performance in CARALL 增强纤维素纸与MWCNT/石墨烯的界面，以改善CARALL的结构健康监测和机械性能

IF 5.3 2区工程技术 Q1 MECHANICS

Engineering Fracture Mechanics

Pub Date : 2026-02-21 Epub Date: 2026-01-10 DOI: 10.1016/j.engfracmech.2026.111857

Tugay Üstün , Ebru Saraloğlu Güler , Volkan Eskizeybek

Carbon fiber reinforced aluminum laminates (CARALL) suffer from weak metal–composite interfaces and the lack of built-in damage sensing. Here, cellulose paper interleaves loaded with hybrid multi-walled carbon nanotubes (CNTs) and graphene (5–9 wt% at 160 or 210 g/m²) are fabricated by conventional papermaking and inserted at the Al/CFRP interface. CARALL panels were produced via hand lay-up and vacuum bagging and evaluated under tensile, three-point flexural, and Mode-I fracture tests, with damage events monitored in situ through piezoresistive electrical resistance measurements (ΔR/R). The 210 g/m² paper with 9 wt% hybrid nanofiller maintains baseline tensile strength and yields up to ∼ 20 % higher flexural strength versus unreinforced CARALL, while interlaminar fracture toughness increases during both initiation and propagation. Microscopic observations reveal fiber bridging/pull-out and crack deflection within the paper interlayer, while the formation of a percolated CNT/graphene network enables clear piezoresistive responses. Abrupt ΔR/R jumps were observed at final failure under tensile loading (approximately twofold), whereas event-correlated ΔR/R fluctuations were recorded during flexural and Mode-I fracture tests (typically in the range of ∼ 0.25–2 during flexure and − 0.5 to + 0.5 during double cantilever beam tests). The results demonstrate that lightweight, low-cost cellulose-nanocarbon interleaves simultaneously toughen CARALL and provide integrated structural health monitoring capability.

碳纤维增强铝层压板（CARALL）存在金属复合界面薄弱和缺乏内置损伤传感的问题。通过传统的造纸工艺，将纤维素纸与混合多壁碳纳米管（CNTs）和石墨烯（5-9 wt%， 160或210 g/m2）交织在一起，并插入Al/CFRP界面。CARALL面板通过手工铺层和真空装袋生产，并在拉伸、三点弯曲和i型断裂测试下进行评估，并通过压阻电阻测量（ΔR/R）现场监测损伤事件。210 g/m2的混合纳米填料与未增强的CARALL相比，可保持基线抗拉强度，并产生高达20%的抗弯强度，而在起始和扩展过程中，层间断裂韧性均有所增加。微观观察显示，纸张夹层内的纤维桥接/拉出和裂纹偏转，而碳纳米管/石墨烯网络的渗透形成实现了清晰的压阻响应。在拉伸载荷下的最终破坏时，观察到突然的ΔR/R跳变（大约两倍），而在弯曲和i型断裂试验期间，记录到事件相关的ΔR/R波动（通常在弯曲期间为- 0.25-2范围内，在双悬臂梁试验期间为- 0.5至+ 0.5）。结果表明，轻质、低成本的纤维素-纳米碳交织材料同时增强了CARALL的韧性，并提供了集成的结构健康监测能力。

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引用次数: 0

Estimating the fracture properties of Martian rocks based on microscale rock mechanical experiments and probability model 基于微尺度岩石力学实验和概率模型的火星岩石断裂特性估计

IF 5.3 2区工程技术 Q1 MECHANICS

Engineering Fracture Mechanics

Pub Date : 2026-02-21 Epub Date: 2026-01-10 DOI: 10.1016/j.engfracmech.2026.111850

Shuohui Yin , Yingjie Wang , Yiheng Zhang , Linling Li , Jinggang Liu , Shuitao Gu

The human space exploration activities on Mars, such as space observation stations and scientific research, etc., need the support of planetary geotechnical theory. Due to the rarity and arbitrary shapes of Martian rock samples, it is difficult to obtain their probability distribution of mechanical properties through the macroscale rock mechanics experiments (macro-RME) with standard samples. In this work, a novel and effective probabilistic method was proposed to estimate the probability distribution of mechanical and fracture properties of Martian rocks through the microscale rock mechanical experiments (micro-RME), probability model and energy-based method combined with the mechanical property correlation. Firstly, the minerals of the NWA12564 Martian meteorite were analyzed through the TESCAN Integrated Mineral Analyzer (TIMA) and grid nanoindentation tests. The optimal probability distribution of fracture toughness (

K_{C}

) was obtained through the Kolmogorov-Smirnov (K-S) test and an energy method. Secondly, the probability distribution of macroscale fracture toughness (

K_{IC}

) was derived by an upscaling method and Monte Carlo simulations (MCS). Thirdly, the probability distributions of tensile strength (

TS

) and unconfined compressive strength (

UCS

) were estimated by the mechanical property correlations with the macroscale fracture toughness

K_{IC}

. The research also indicated that, while the macroscale mechanical and fracture properties of Martian rocks follow a lognormal distribution, the microscopic fracture toughness of the five minerals may follow distinct probability distributions. The proposed method enables the estimation of the probability distribution of mechanical and fracture properties with arbitrarily shaped and sized Martian rocks, and the obtained properties provide support to the future Mars exploration.

人类在火星上的空间探索活动，如空间观测站和科学研究等，都需要行星岩土理论的支持。由于火星岩石样品的稀有性和任意形状，用标准样品进行宏观岩石力学实验（macro-RME），很难获得其力学性质的概率分布。通过微观岩石力学实验（micro-RME）、概率模型和基于能量的方法，结合力学性质相关性，提出了一种估算火星岩石力学和断裂性质概率分布的新颖有效的概率方法。首先，通过TESCAN集成矿物分析仪（TIMA）和网格纳米压痕测试对NWA12564火星陨石的矿物进行了分析。通过Kolmogorov-Smirnov （K-S）试验和能量法得到断裂韧性（KC）的最佳概率分布。其次，采用上标方法和蒙特卡罗模拟（MCS），推导了宏观断裂韧性（KIC）的概率分布。第三，通过力学性能与宏观断裂韧性KIC的相关关系，估计了抗拉强度和无侧限抗压强度的概率分布。研究还表明，火星岩石的宏观力学和断裂性质服从对数正态分布，而五种矿物的微观断裂韧性可能服从不同的概率分布。该方法能够估计任意形状和大小的火星岩石的力学和断裂性质的概率分布，为未来的火星探测提供支持。

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引用次数: 0

A fusion framework of improved YOLOv8 and lightweight DeepLabv3 + for concrete bridge surface defect identification 改进的YOLOv8与轻型DeepLabv3 +融合框架用于混凝土桥梁表面缺陷识别

IF 5.3 2区工程技术 Q1 MECHANICS

Engineering Fracture Mechanics

Pub Date : 2026-02-21 Epub Date: 2026-01-13 DOI: 10.1016/j.engfracmech.2026.111864

Daihai Chen , Xichao Ma , Yunsen Zhang , Shizhan Xu , Yu Zhang

With the increasing prevalence of bridge aging and overloading, traditional manual inspection methods suffer from low efficiency and strong subjectivity, making it difficult to achieve accurate and efficient damage recognition. In recent years, deep learning techniques have provided new solutions for the intelligent detection of bridge surface defects. This study investigates typical defects in concrete bridges, including cracks, exposed reinforcement, and spalling. To address the challenges of small-defect recognition in complex backgrounds and high computational complexity, an improved YOLOv8-based model integrating the Triplet Attention mechanism and a dynamic detection head (DyHead) is proposed for defect detection, while an enhanced semantic segmentation approach for concrete bridge surface defects is developed based on the DeepLabV3 + architecture. First, defect images of bridges in Henan Province were collected and annotated at the pixel level using the Labelme software, which were then converted into mask images. Data augmentation strategies, such as rotation and flipping, expanded the dataset to 5,155 images, followed by systematic labeling and partitioning. In the object detection task, the proposed YOLOv8 model with Triplet Attention and DyHead effectively enhanced defect feature extraction and multi-scale localization, achieving an [email protected] of 80.5 %, a 4.9 % improvement over the baseline. In the semantic segmentation task, a lightweight DeepLabV3 + model with MobileNetV3 as the backbone was constructed, incorporating the CBAM attention mechanism and a joint loss function. This design achieved an mIoU of 80.47 % while maintaining a relatively low parameter count (7.8 M), with an 8.2 % improvement in crack segmentation accuracy. The results demonstrate that the proposed methods outperform mainstream models in both accuracy and efficiency, providing a reliable solution for the intelligent recognition of concrete bridge surface defects.

随着桥梁老化和超载的日益普遍，传统的人工检测方法存在效率低、主观性强的问题，难以实现准确、高效的损伤识别。近年来，深度学习技术为桥梁表面缺陷的智能检测提供了新的解决方案。本研究调查了混凝土桥梁的典型缺陷，包括裂缝、暴露的钢筋和剥落。针对复杂背景下小缺陷识别和计算复杂度高的难题，提出了一种基于yolov8的改进模型，该模型集成了三重注意机制和动态检测头（DyHead），用于缺陷检测，并基于DeepLabV3 +架构开发了一种增强的混凝土桥梁表面缺陷语义分割方法。首先，采集河南省桥梁缺陷图像，利用Labelme软件在像素级进行标注，然后转换成掩模图像；数据增强策略，如旋转和翻转，将数据集扩展到5155张图像，然后进行系统的标记和分区。在目标检测任务中，本文提出的带有Triplet Attention和DyHead的YOLOv8模型有效地增强了缺陷特征提取和多尺度定位，[email protected]的识别率达到80.5%，比基线提高4.9%。在语义分割任务中，构建了以MobileNetV3为骨干的轻量级DeepLabV3 +模型，该模型结合了CBAM注意机制和联合损失函数。该设计实现了80.47%的mIoU，同时保持了相对较低的参数计数（7.8 M），裂缝分割精度提高了8.2%。结果表明，该方法在精度和效率上均优于主流模型，为混凝土桥梁表面缺陷的智能识别提供了可靠的解决方案。

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引用次数: 0

Phase-field modelling of quasi-static and dynamic brittle fracture: A FreeFEM++ implementation 准静态和动态脆性断裂的相场建模：FreeFEM++实现

IF 5.3 2区工程技术 Q1 MECHANICS

Engineering Fracture Mechanics

Pub Date : 2026-02-21 Epub Date: 2026-01-15 DOI: 10.1016/j.engfracmech.2026.111846

Andres F. Galvis

This work presents a robust phase-field formulation for brittle fracture, combining a quasi-monolithic solution strategy with a frozen history field, Houbolt time integration for dynamic/transient regimes, and adaptive remeshing in FreeFEM++. This approach enhances numerical robustness, simplifies parameter calibration, and facilitates extensions to multi-physics fracture problems. Despite widespread interest, building on this framework, a key contribution is the first open serial implementation of this framework in FreeFEM++, offering advantages in mesh adaptivity, solver flexibility, and concise variational syntax. The mesh adaptivity feature concentrates resolution near evolving crack tips to efficiently capture fracture evolution. The implementation is validated on standard benchmarks, showing close agreement with reference crack paths, load–displacement, and dissipated energy responses. By releasing a concise, well-documented FreeFEM++ code, this work bridges a reproducibility gap and establishes a methodological foundation for future developments.

这项工作提出了一个强大的脆性断裂相场公式，结合了准单片解策略和冻结历史场，动态/瞬态状态的Houbolt时间积分，以及FreeFEM++中的自适应网格划分。该方法增强了数值鲁棒性，简化了参数校准，便于扩展到多物理场裂缝问题。尽管有广泛的兴趣，在这个框架的基础上，一个关键的贡献是在FreeFEM++中第一个开放的串行实现这个框架，提供网格适应性，求解器灵活性和简洁的变分语法方面的优势。网格自适应特征将分辨率集中在演化裂纹尖端附近，从而有效地捕捉裂缝演化过程。在标准基准测试中验证了该实现，显示与参考裂缝路径、荷载-位移和耗散能量响应密切一致。通过发布一个简明的、文档完备的FreeFEM++代码，这项工作弥补了可再现性的差距，并为未来的开发建立了方法论基础。

引用次数: 0

Design strategy of overlapped composite joint integrating strength, flexibility and toughness 结合强度、柔度、韧性的叠合复合材料接头设计策略

IF 5.3 2区工程技术 Q1 MECHANICS

Engineering Fracture Mechanics

Pub Date : 2026-02-21 Epub Date: 2025-12-31 DOI: 10.1016/j.engfracmech.2025.111836

Tong Cui, Xiaofang Zhang, Yanan Yuan

The variable wing requires a flexible skin composite that combines high strength, high toughness, and flexibility. Inspired by the layered arrangements found in biological structures such as fish scales, a novel gradient overlapped structural design strategy based on the span direction using thin ply has been proposed. Under three-point bending tests, experimental results demonstrate that the gradient overlapped laminates with thin ply can effectively mitigates the inherent brittle fracture of continuous fiber composite. Compared to continuous fiber designs, the bio-inspired overlapped design exhibits superior structural performance in terms of flexibility and damage tolerance. Particularly, the four-gradient overlap structure achieves an excellent balance between strength and toughness by integrating the advantages of continuous and short overlap configurations. Finite element simulations further reveal the significant advantages of “S-C type” special joints designs in enhancing the comprehensive mechanical performance of composites. The optimized special joint configurations demonstrate exceptional superiority in terms of toughness and flexibility. This study provides new insights and methodologies for the structural design of composite laminates, offering important guidance for engineering applications such as aircraft skin structures that require a balance between high strength and high toughness.

可变机翼需要一种结合了高强度、高韧性和灵活性的柔性复合材料。受鱼鳞等生物结构的分层排列的启发，提出了一种基于跨度方向的梯度重叠结构设计策略。在三点弯曲试验中，实验结果表明，薄层梯度叠层能有效缓解连续纤维复合材料固有的脆性断裂。与连续纤维设计相比，仿生重叠设计在灵活性和损伤容忍度方面表现出优越的结构性能。特别是，四梯度重叠结构通过整合连续和短重叠结构的优点，在强度和韧性之间取得了很好的平衡。有限元模拟进一步揭示了“S-C型”特殊接头设计在提高复合材料综合力学性能方面的显著优势。优化后的特殊接头结构在韧性和柔韧性方面表现出卓越的优势。该研究为复合材料层压板的结构设计提供了新的见解和方法，为需要在高强度和高韧性之间取得平衡的飞机蒙皮结构等工程应用提供了重要的指导。

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引用次数: 0

Meso-scale simulation method for dynamic propagation behavior of concrete cracks around or through aggregates 混凝土裂缝绕集料或穿透集料动态扩展特性的细观尺度模拟方法

IF 5.3 2区工程技术 Q1 MECHANICS

Engineering Fracture Mechanics

Pub Date : 2026-02-21 Epub Date: 2025-12-26 DOI: 10.1016/j.engfracmech.2025.111827

Dong Li, Yan Liu, Liu Jin, Xiuli Du

This study proposes an automated meso-scale numerical simulation method based on the extended self-consistent finite stress principle and the “static-dynamic unified” meso-fracture criterion, aiming to investigate the propagation behavior of concrete cracks either around or through aggregates under dynamic loads. This study mainly includes the following contributions. First, a strain rate-dependent elastic modulus subroutine is developed using Fortran, which overcomes the limitation of the Concrete Damaged Plasticity (CDP) model in characterizing the elastic modulus strengthening effect under dynamic uniaxial tension. Second, a dynamic propagation criterion for concrete cracks undergoing through-aggregate failure is established. Integrating meso-mechanical parameters and strain rate effects, this criterion can quantitatively predict whether cracks propagate through aggregates or along interfaces under dynamic loads. Further, two key improved technologies are proposed to enhance the authenticity of meso-scale simulations. One is defective aggregate modeling, i.e., presetting initial geometric defects at the aggregate-interfacial transition zone (ITZ) interface; the other is graded material property division, i.e., constructing a gradient transition layer of material properties in the mortar surrounding the ITZ to characterize the stress concentration caused by aggregate inclusions. Validation results in the single-aggregate model show that the ITZ crack length exhibits significant mesh sensitivity but is insensitive to strain rate. The constructed automated analysis framework can effectively simulate the dynamic propagation path of cracks around or through aggregates in single-aggregate systems, which is consistent with theoretical predictions. For multi-graded concrete, aggregate defects are located via image recognition technology, and the meso-scale dynamic propagation process of cracks around or through aggregates considering the stress interference effects between aggregates is successfully simulated. This study provides a theoretical framework and technical support for the multiscale predictive model of concrete dynamic fracture behavior.

本文提出了一种基于扩展自一致有限应力原理和“动静统一”细观断裂准则的自动化细观数值模拟方法，旨在研究动荷载作用下混凝土裂缝在骨料周围或穿透骨料的扩展行为。本研究主要有以下贡献。首先，利用Fortran开发了应变率相关的弹性模量子程序，克服了混凝土损伤塑性（CDP）模型在表征动态单轴拉伸下弹性模量强化效应方面的局限性；其次，建立了混凝土穿透骨料破坏时裂缝的动态扩展准则。综合细观力学参数和应变率效应，该准则可以定量预测裂纹在动载荷作用下是通过骨料扩展还是沿界面扩展。在此基础上，提出了两项关键改进技术，以提高中尺度模拟的真实性。一是缺陷集料建模，即在集料-界面过渡区（ITZ）界面处预设初始几何缺陷；二是材料性能分级划分，即在ITZ周围的砂浆中构建材料性能梯度过渡层，表征骨料夹杂物引起的应力集中。单骨料模型的验证结果表明，ITZ裂纹长度具有显著的网格敏感性，但对应变速率不敏感。所构建的自动化分析框架能够有效地模拟单骨料体系中裂缝在骨料周围或穿透骨料的动态扩展路径，与理论预测一致。对于多级配混凝土，通过图像识别技术定位骨料缺陷，成功模拟了考虑骨料间应力干涉效应的骨料周围或穿透骨料裂纹的细观尺度动态扩展过程。本研究为混凝土动力断裂行为的多尺度预测模型提供了理论框架和技术支持。

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引用次数: 0

On the mixed mode crack propagation using a 2D BEM formulation combined with a Newton-Raphson/Arc-length iterative method: discussion about material bifurcation 结合牛顿-拉夫森/弧长迭代法的二维边界元公式研究混合模式裂纹扩展：关于材料分岔的讨论

IF 5.3 2区工程技术 Q1 MECHANICS

Engineering Fracture Mechanics

Pub Date : 2026-02-21 Epub Date: 2026-01-12 DOI: 10.1016/j.engfracmech.2026.111858

Gabriela R. Fernandes , Eduardo A. de Souza Neto , José J.C. Pituba

Numerical modeling of mixed mode cracks propagation is discussed by using a 2D Boundary Element formulation with Quadratic convergence applied to Strong Discontinuities (BEMQ-SD). This model is based on strong discontinuity technique embedded into a continuum medium. The criterion for material bifurcation is the singularity of the acoustic tensor, being the normal direction to the crack surface defined by its eigenvalue. Usually only one direction is related to this singularity, but we discuss examples where we can have two different directions associated with the material bifurcation. Thus, we propose an efficient criterion to identify the correct solution. The Arc-length method combined with the Newton-Raphson method is adopted to obtain the solution of the iterative procedure required to solve the equilibrium problem. This force control procedure is efficient and has low computational cost, achieving the solution with a small number of iterations. As numerical examples, we consider a plate with a fragile sub-domain subjected to pure shear and to a combination of loads, a single-edge notched shear test and two experimentally tested examples, which present a mixed-mode fracture configuration with multiple cracks. We show that the proposed model can find the correct solution, and it is accurate, stable and efficient, showing itself to be an alternative tool to FEM or XFEM models. An important advantage of BEM models is that is not necessary to discretize the domain that remains with elastic behavior, what reduces the computational effort.

采用二维强不连续二次收敛边界元公式，讨论了混合模式裂纹扩展的数值模拟。该模型基于嵌入连续介质的强不连续技术。材料分叉的判据是声张量的奇异性，即由其特征值定义的到裂纹表面的法向。通常只有一个方向与这个奇点有关，但我们讨论的例子中，我们可以有两个不同的方向与材料分岔有关。因此，我们提出了一个有效的标准来识别正确的解决方案。采用弧长法结合牛顿-拉夫逊法求解平衡问题所需的迭代过程。该力控制程序效率高，计算成本低，迭代次数少。作为数值算例，我们考虑了具有脆性子域的板在纯剪切和组合载荷作用下，单边缺口剪切试验和两个实验测试实例，它们呈现出多重裂纹的混合模式断裂形态。仿真结果表明，所提出的模型能够找到正确的解，且精度高、稳定性好、效率高，可作为有限元模型或XFEM模型的替代工具。边界元模型的一个重要优点是不需要对保持弹性行为的区域进行离散化，从而减少了计算量。

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引用次数: 0

Probabilistic parameter estimation and uncertainty quantification of mode I fracture in wood 木材I型断裂的概率参数估计与不确定性量化

IF 5.3 2区工程技术 Q1 MECHANICS

Engineering Fracture Mechanics

Pub Date : 2026-02-21 Epub Date: 2025-12-30 DOI: 10.1016/j.engfracmech.2025.111820

Johannes Jonasson , Johan Lindström , Henrik Danielsson , Erik Serrano

The characterisation of wood’s fracture behaviour is a challenging task due to its inherently complex microstructure and natural variability. Consequently, to accurately model wood for engineering applications, deterministic input parameters are rarely sufficient in, for example, finite element models; the stochastic nature of the material must be considered. In the present work, we aim to quantify the variability in the fracture behaviour of two wood species: Norway spruce, which is commonly used for structural purposes in Europe, and birch, which could be an advantageous complement to Norway spruce, mainly thanks to its stiffer and stronger mechanical properties. The fracture behaviour is characterised through the three parameters that govern a material’s brittleness: the stiffness, the strength and the specific fracture energy. By formulating a parameter estimation problem based in probability theory, we use Bayesian optimisation to estimate statistical distributions of the fracture parameters of interest. These distributions are multi-variate distributions and thus contain information about the mean values, variability and dependence among the parameters. It is shown that by using random samples from the acquired distributions as input parameters to finite element models, variability observed in experimental testing is recovered well.

由于木材本身复杂的微观结构和自然变异性，表征其断裂行为是一项具有挑战性的任务。因此，为了准确地为工程应用建模木材，确定性输入参数在例如有限元模型中很少是足够的；必须考虑到材料的随机性。在目前的工作中，我们的目标是量化两种木材的断裂行为的可变性：挪威云杉，在欧洲通常用于结构目的，以及桦木，这可能是挪威云杉的有利补充，主要是由于其更硬、更强的机械性能。断裂行为是通过控制材料脆性的三个参数来表征的：刚度、强度和比断裂能。通过基于概率论的参数估计问题，我们使用贝叶斯优化来估计感兴趣的裂缝参数的统计分布。这些分布是多变量分布，因此包含了关于平均值、变异性和参数之间的依赖性的信息。结果表明，将获取的分布中的随机样本作为有限元模型的输入参数，可以很好地恢复实验测试中观察到的变异性。

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引用次数: 0

Numerical simulation of sulfate-eroded concrete structure based on a coupled chemical-transport-mechanical phase-field model 基于化学-输运-力学相场耦合模型的硫酸盐侵蚀混凝土结构数值模拟

IF 5.3 2区工程技术 Q1 MECHANICS

Engineering Fracture Mechanics

Pub Date : 2026-02-21 Epub Date: 2026-01-06 DOI: 10.1016/j.engfracmech.2026.111843

Jie Luo , Qiao Wang , Wei Zhou , Xiaolin Chang , Qiang Yue , Zhangzhen Peng , Chuqiao Feng , Anli Wang

Sulfate-induced cracking shortens the service life of concrete structures. Numerical modeling is a valuable tool for investigating the degradation process. Most previous models can assess the damage extent, but struggle to predict cracking induced by erosion. This study proposes a coupled chemical-transport-mechanical phase-field model to effectively simulate the cracking process of sulfate-eroded concrete. The diffusion–reaction process is modeled based on transport law and reaction kinetics. A simplified kinetic equation is employed to describe the calcium leaching phenomenon. By employing the phase-field model, discrete erosion cracks are converted into regularized cracks, enabling easy coupling of the cracking process with the diffusion–reaction process. The cracking driving force in the phase-field model is calculated by the expansion strain, which is derived by solving the diffusion–reaction model. A new piecewise function is used to describe the influence of cracks and pores on ion transport, achieving bidirectional coupling between the cracking and transport processes. By solving the phase-field equations, complex erosion cracks can be automatically predicted. The calculation results align well with experimental data and can reproduce the transverse cracks observed in the erosion-expansion experiment. Compared to other models, the proposed model achieves more accurate results with a larger residual error. Furthermore, the deterioration of concrete column corners under various factors is simulated, and the significance of different factors and their interactions is analyzed, providing new insights for enhancing the durability of concrete structures in sulfate environments.

硫酸盐引起的裂缝缩短了混凝土结构的使用寿命。数值模拟是研究退化过程的一种有价值的工具。大多数以前的模型可以评估损伤程度，但很难预测由侵蚀引起的开裂。为了有效地模拟硫酸盐侵蚀混凝土的开裂过程，提出了化学-输运-力学相场耦合模型。根据输运定律和反应动力学对扩散反应过程进行了建模。采用简化的动力学方程来描述钙浸出现象。采用相场模型将离散侵蚀裂纹转化为正则化裂纹，使裂纹过程与扩散反应过程容易耦合。在相场模型中，裂纹驱动力是通过求解扩散反应模型得到的膨胀应变来计算的。采用一种新的分段函数来描述裂纹和孔隙对离子输运的影响，实现了裂纹和输运过程的双向耦合。通过求解相场方程，可以实现复杂侵蚀裂纹的自动预测。计算结果与试验数据吻合较好，能较好地再现侵蚀膨胀试验中观察到的横向裂纹。与其他模型相比，该模型在残差较大的情况下获得了更准确的结果。模拟了不同因素下混凝土柱角的劣化过程，分析了不同因素及其相互作用的意义，为提高硫酸盐环境下混凝土结构的耐久性提供了新的见解。

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引用次数: 0

Energy-based coupling law and lifetime bounds for nonlinear fatigue of viscoplastic joints under thermo-vibrational loading 热振动载荷下粘塑性节点非线性疲劳的能量耦合规律及寿命界

IF 5.3 2区工程技术 Q1 MECHANICS

Engineering Fracture Mechanics

Pub Date : 2026-02-21 Epub Date: 2026-01-01 DOI: 10.1016/j.engfracmech.2025.111838

Yaohui Deng , Peisheng Liu , Zhao Zhang , Jiajie Jin , Feiyu Qiang

A unified energy-based framework is developed to predict fatigue life and interpret damage evolution in viscoplastic joints under combined thermal cycling and broadband random vibration. The methodology integrates the Anand constitutive model for nonlinear time-dependent deformation, Darveaux’s strain energy density method for low-cycle thermal fatigue, and a Basquin-type strain life relation for vibration-induced high-cycle fatigue. Using strain energy density as a physically grounded surrogate for the fracture driving force, we propose a coupling law with an explicit interaction term that links thermal and vibrational damage channels. We further derive an analytical lifetime bound showing that the coupled lifetime is upper-bounded by the harmonic mean of the single-mode lives. Dimensionless similarity groups are introduced to generalize the predictions across materials and geometries and to support rapid design screening. Finite-element case studies on micro-interconnects demonstrate nonlinear degradation under coupled loading. The predicted hot-spot locations qualitatively follow experimentally reported corner-joint and upper-interface initiation trends. The proposed framework provides quantitative life estimation, spatial localization of fracture-prone regions without explicit crack tracking, and mechanism-informed design guidance for layered structures containing viscoplastic interfaces in thermo-vibrational environments.

建立了热循环与宽带随机振动联合作用下粘塑性节点疲劳寿命预测和损伤演化的统一能量框架。该方法集成了求解非线性时变变形的Anand本构模型、求解低周热疲劳的Darveaux应变能密度法和求解振动诱发高周疲劳的basquin型应变寿命关系。我们使用应变能密度作为断裂驱动力的物理依据，提出了一个耦合定律，其中包含一个明确的相互作用项，将热损伤通道和振动损伤通道联系起来。我们进一步推导出一个解析寿命界，表明耦合寿命是由单模寿命的谐波平均值上界的。引入无量纲相似性组来推广跨材料和几何形状的预测，并支持快速设计筛选。微互连的有限元实例研究证明了耦合载荷作用下的非线性退化。预测的热点位置定性地遵循了实验报道的角接头和上界面起爆趋势。所提出的框架提供了定量的寿命估计，易断裂区域的空间定位，而没有明确的裂纹跟踪，以及热振动环境中含有粘塑性界面的层状结构的机制信息设计指导。

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引用次数: 0