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Multiaxial fatigue life assessment of welded joints using the super ellipse criterion under consideration of support effects 考虑支撑效应的超椭圆准则焊接接头多轴疲劳寿命评价
IF 6.8 2区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-12-24 DOI: 10.1016/j.ijfatigue.2025.109458
Niklas Michael Bauer, Annina Wöhle, Jörg Baumgartner
The super ellipse criterion has recently been developed as an easy-to-use method reliably predicting multiaxial fatigue life of welded joints based on experimentally determined S-N curves. This paper evaluates the application of the super ellipse criterion using design S-N curves on the basis of so-called effective stresses. In contrast to the established stress concepts such as the nominal, the structural, or the notch stress concept, effective stresses incorporate both the local weld geometry and the support effect of the material surrounding the failure critical weld notch allowing fatigue assessment using S-N curves independent of the weld geometry, such as the weld toe or the weld root. Based on a comprehensive database of welded steel joints under multiaxial loading, the super ellipse criterion is found to accurately and precisely predict multiaxial fatigue life using effective normal and effective shear stresses derived by the critical distance or the stress averaging approach, achieving root mean square logarithmic errors of 0.36 and 0.35. Moreover, the assessment procedure is unified by providing parameters for deriving effective stresses for different stress components and plate thicknesses.
超椭圆准则是基于实验确定的S-N曲线可靠预测焊接接头多轴疲劳寿命的一种简便易行的方法。本文以有效应力为基础,用设计S-N曲线对超椭圆准则的应用进行了评价。与已建立的应力概念(如标称应力、结构应力或缺口应力概念)相反,有效应力结合了局部焊缝几何形状和失效临界焊缝缺口周围材料的支撑效应,允许使用独立于焊缝几何形状(如焊缝脚趾或焊缝根部)的S-N曲线进行疲劳评估。基于综合的多轴载荷下焊接钢接头数据库,发现超椭圆准则能够准确准确地预测多轴疲劳寿命,利用临界距离法和应力平均法分别得到有效法向和有效剪应力,其对数均方根误差分别为0.36和0.35。此外,通过提供不同应力分量和板厚的有效应力计算参数,统一了评估程序。
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引用次数: 0
Predicting the whole-life stress amplitude evolution of high-Mn TWIP steel under complex loading conditions using fatigue failure criteria and machine learning 基于疲劳失效准则和机器学习的高mn TWIP钢在复杂载荷条件下的全寿命应力幅值演化预测
IF 6.8 2区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-12-22 DOI: 10.1016/j.ijfatigue.2025.109449
Di Song , Jinze Pei , Ye Xiao , Ronghai Wu , Heng Li
Previous research on fatigue performance has primarily focused on fatigue life, with limited emphasis on the evolution of stress amplitude. However, stress amplitude is a critical parameter in strain-controlled fatigue failure analysis. The interaction of deformation mechanisms during cyclic loading complicates the evolution of stress amplitude, and this challenge is further amplified when considering the applicability of models across diverse loading conditions. This study employs both failure criteria-based and machine learning approaches to develop predictive models for the entire fatigue life stress amplitude evolution under varying loading orientations, pre-strains, temperatures, and strain amplitudes. The failure criteria-based model introduces a novel combined prediction framework of fatigue life and stress amplitude, enabling the prediction of four representative stress amplitudes: initial, maximum, half-life, and failure. The fatigue life prediction achieves an accuracy of 96.1 % within a 2 × error band, while stress amplitude predictions attain 96.4 % within a 1.2 × error band. The machine learning model, based on symbolic regression, utilizes these four amplitudes as training data to derive an interpretable formula for the entire evolution curve, achieving 99.7 % data within the 1.2 × error band. The overall curve exhibits a high R2 of 0.95 and a mean absolute percentage error (MAPE) of 1.87 %, demonstrating robust predictive capability across diverse conditions.
以往对疲劳性能的研究主要集中在疲劳寿命上,对应力幅值的演化研究较少。而应力幅值是应变控制疲劳失效分析中的一个关键参数。循环加载过程中变形机制的相互作用使应力幅值的演化变得复杂,考虑到模型在不同加载条件下的适用性,这一挑战进一步放大。本研究采用基于失效准则的方法和机器学习方法,建立了在不同加载方向、预应变、温度和应变幅值下的整个疲劳寿命应力幅值演变的预测模型。基于失效准则的模型引入了一种新的疲劳寿命和应力幅值组合预测框架,能够预测4种具有代表性的应力幅值:初始、最大、半衰期和失效。疲劳寿命预测精度在2 ×误差范围内达到96.1%,应力幅值预测精度在1.2 ×误差范围内达到96.4%。机器学习模型基于符号回归,利用这四个幅值作为训练数据,推导出整个进化曲线的可解释公式,在1.2 ×误差范围内实现99.7%的数据。总体曲线的R2为0.95,平均绝对百分比误差(MAPE)为1.87%,显示出在不同条件下的稳健预测能力。
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引用次数: 0
Multi-mechanism crystal plasticity-based finite element framework uncovering the tensile and fatigue behavior of Ni-based single crystal superalloy 基于多机制晶体塑性的有限元框架揭示了ni基单晶高温合金的拉伸和疲劳行为
IF 6.8 2区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-12-22 DOI: 10.1016/j.ijfatigue.2025.109456
Yuanyuan Wang , Donghai Yu , Changjian Geng , Xianglin Zhou , Shilei Li , Yan-Dong Wang
A multi-mechanism crystal plasticity finite element (CPFE) model is developed to capture the micromechanical deformation and fatigue behavior of γ′-strengthened [001]-oriented Ni-based single-crystal (Ni-based SX) superalloy across a wide temperature range. The model integrates lattice friction and dislocation resistance for both γ and γ′ phases to reproduce hardening characteristics. In the γ matrix, microstructual features such as γ channel width are introduced to determine the initial slip resistance, while the strengthening effect associated with dislocation bypass of γ′ precipitate is incorporated through an Orowan mechanism. The critical γ/γ′ phase interaction is represented by back stress arising from dislocation pileup at the phase boundary. For the γ′ phase, the resistance to anti-phase boundary (APB) shearing is explicitly considered to account for the additional stress required for dislocation motion within the ordered structure. Model parameters are calibrated through temperature-dependent tensile tests using the genetic algorithm (GA) to minimize discrepancies between simulated and experimental stress–strain responses. The model reliably reproduces the stress–strain response, clarifying the contribution of distinct deformation mechanisms, and accurately captures the evolution of hysteresis loops, which exhibit a plastic-to-elastic transition at 760 ℃ and a fully elastic regime at 900 ℃. Finally, an empirical energy-based approach is employed to predict fatigue life across different temperatures and strain amplitudes, achieving good agreement with our experimental results.
建立了一种多机制晶体塑性有限元(CPFE)模型,以捕获γ′强化[001]取向镍基单晶(Ni-based SX)高温合金在宽温度范围内的微观力学变形和疲劳行为。该模型综合了γ相和γ′相的晶格摩擦和位错阻力,再现了硬化特征。在γ基体中,引入了γ通道宽度等微观结构特征来确定初始抗滑性,而与γ′沉淀的位错旁路相关的强化效应通过Orowan机制被纳入。γ/γ′相的临界相互作用表现为位错堆积在相边界处产生的背应力。对于γ′相,明确考虑了反相边界(APB)剪切的阻力,以解释有序结构内位错运动所需的附加应力。模型参数通过使用遗传算法(GA)的温度相关拉伸测试进行校准,以尽量减少模拟和实验应力-应变响应之间的差异。该模型可靠地再现了应力-应变响应,明确了不同变形机制的贡献,并准确地捕捉了迟滞回线的演变过程,在760℃时表现为塑性-弹性转变,在900℃时表现为完全弹性状态。最后,采用基于经验能量的方法预测了不同温度和应变幅值下的疲劳寿命,与实验结果吻合较好。
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引用次数: 0
Competitive propagation of multiple surface fatigue cracks in railheads: compact tension tests and peridynamic simulations 铁路道头多个表面疲劳裂纹的竞争扩展:紧致张力试验和周围动力学模拟
IF 6.8 2区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-12-21 DOI: 10.1016/j.ijfatigue.2025.109453
Xiaoming Wang , Yitong Shi , Weijia Dong , Qing He , Boyang An , Bing Yang , Jun Huang , Ping Wang
Significant interactions exist among multiple surface cracks in railheads. This study investigates the competitive propagation behavior of rail surface cracks using the compact tension (CT) tests and a peridynamic (PD) model. Four sets of CT tests for multi-crack propagation were designed with U75V railhead material, and corresponding PD fatigue models were established. Significant shielding effects were observed among cracks during propagation, with the PD model accurately replicating crack propagation paths and fatigue lives from CT tests. A PD model was constructed to simulate the dynamic crack propagation on rail surfaces under rolling wheel loading, revealing significant promotion and suppression effects among cracks dominantly influenced by crack number and spacing. PD-predicted crack branching and coalescence align with field rail damage patterns.
铁路道头多个表面裂缝之间存在着显著的相互作用。本文研究了钢轨表面裂纹的竞争扩展行为,采用了致密拉伸(CT)试验和周动力(PD)模型。采用U75V轨道口材料设计了4套多裂纹扩展CT试验,建立了相应的PD疲劳模型。在裂纹扩展过程中观察到明显的屏蔽效应,PD模型准确地复制了CT试验的裂纹扩展路径和疲劳寿命。建立了滚动车轮荷载作用下钢轨表面裂纹动态扩展的PD模型,发现裂纹数量和裂纹间距对钢轨表面裂纹扩展具有显著的促进和抑制作用。pd预测的裂纹分支和合并与现场钢轨损伤模式一致。
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引用次数: 0
Fatigue life prediction of multi jet fusion-manufactured polyamide12 lattice structures using the average strain energy density method 用平均应变能密度法预测多喷流熔接聚酰胺12晶格结构的疲劳寿命
IF 6.8 2区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-12-21 DOI: 10.1016/j.ijfatigue.2025.109452
Raffaele De Biasi , Lorenzo Romanelli , Ciro Santus , Matteo Perini , Filippo Berto , Matteo Benedetti
The industrial sector continues to explore innovative strategies to exploit the full potential of Additive Manufacturing (AM). Among its many advantages, AM enables the fabrication of lattice structures; these are lightweight metamaterials with tunable mechanical properties and excellent energy absorption capabilities. Despite their promise, the widespread industrial use of such structures is limited by the difficulty in accurately assessing their fatigue behavior. This study presents a methodology aimed at predicting the fatigue life of polymer-based lattice components, with a specific focus on PA12 manufactured using the Multi Jet Fusion (MJF) process. This is an industrially relevant technology offering large production volumes, high printing quality and low production costs. The approach begins with fatigue testing of bulk PA12 specimens to establish baseline material behavior. Based on these results, a predictive algorithm is developed to estimate the fatigue performance of lattice structures. The model adopts an energy-based framework inspired by the Average Strain Energy Density (ASED) method, previously used for metallic materials, and adapts it to the characteristics of polymer lattices. The proposed methodology contributes to the development of efficient fatigue assessment tools, supporting the broader adoption of lattice structures in cost-sensitive industrial applications where polymer-based materials are effective.
工业部门继续探索创新战略,以充分利用增材制造(AM)的潜力。在其众多优点中,增材制造可以制造晶格结构;这些都是重量轻的超材料,具有可调的机械性能和出色的能量吸收能力。尽管它们很有前途,但由于难以准确评估其疲劳行为,这种结构的广泛工业应用受到了限制。本研究提出了一种方法,旨在预测基于聚合物的晶格部件的疲劳寿命,特别关注使用多喷射融合(MJF)工艺制造的PA12。这是一项工业相关技术,可提供大批量,高印刷质量和低生产成本。该方法首先进行散装PA12试样的疲劳试验,以建立基准材料性能。在此基础上,提出了一种预测网格结构疲劳性能的算法。该模型采用了一种基于能量的框架,其灵感来自于之前用于金属材料的平均应变能密度(ASED)方法,并使其适应于聚合物晶格的特性。提出的方法有助于开发有效的疲劳评估工具,支持在成本敏感的工业应用中更广泛地采用晶格结构,其中聚合物基材料是有效的。
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引用次数: 0
Investigation on fatigue crack growth behavior and remaining useful life prediction of 6005A-T6 aluminum alloy under fatigue aging 6005A-T6铝合金疲劳老化疲劳裂纹扩展行为及剩余使用寿命预测研究
IF 6.8 2区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-12-21 DOI: 10.1016/j.ijfatigue.2025.109448
Zhe Zhang, Bing Yang, Shiqi Zhou, Jinbang Liu, Long Yang, Shoune Xiao, Guangwu Yang, Tao Zhu
To address the fatigue aging of 6005A-T6 aluminum alloy—widely used in rail transit structures—under long-term service, this study investigates its crack growth behavior and remaining useful life (RUL) prediction under different fatigue aging conditions. The simulation covered 4 fatigue aging states, achieved by applying different numbers of pre-fatigue cycles. Compact-tension-shear specimens were tested under mixed-mode I + II fatigue crack growth at 4 loading angles (0°, 30°, 45°, and 60°). Digital image correlation was employed to capture crack tip strain fields for analyzing crack growth behavior. Experimental results show that fatigue aging significantly reduces the material’s resistance to crack growth. While increasing the loading angle suppresses crack growth rate, this suppressive effect is weakened under severe fatigue aging conditions. The antagonistic interplay between fatigue aging and increased loading angle in determining RUL is investigated for the first time. Fractographic analysis reveals that the reduction in fatigue striations and the increase in microcrack formation are the key microstructural mechanisms responsible for the fatigue aging-induced decline in crack resistance. Furthermore, an extended finite element model based on an energy release rate attenuation mechanism was developed. The simulation results show high agreement with experimental data, with a maximum standard deviation of 1.3887 and a maximum life prediction error within 7.5 %. These findings provide theoretical support and technical guidance for service life prediction and failure assessment of aluminum alloy structures.
为解决轨道交通结构中广泛使用的6005A-T6铝合金在长期使用条件下的疲劳老化问题,研究了不同疲劳老化条件下6005A-T6铝合金的裂纹扩展行为和剩余使用寿命预测。模拟涵盖了4种疲劳老化状态,通过应用不同数量的预疲劳循环来实现。在4种加载角度(0°、30°、45°和60°)下,对压实拉伸-剪切试件进行混合模式I + II疲劳裂纹扩展试验。采用数字图像相关技术捕获裂纹尖端应变场,分析裂纹扩展行为。实验结果表明,疲劳老化显著降低了材料的抗裂纹扩展能力。增大加载角度对裂纹扩展速率有抑制作用,但在严重疲劳老化条件下,这种抑制作用减弱。本文首次研究了疲劳老化与加载角增大之间的拮抗作用。断口分析表明,疲劳条痕的减少和微裂纹形成的增加是疲劳老化导致抗裂性能下降的关键组织机制。在此基础上,建立了基于能量释放速率衰减机理的扩展有限元模型。仿真结果与实验数据吻合较好,最大标准差为1.3887,最大寿命预测误差在7.5 %以内。研究结果为铝合金结构寿命预测和失效评估提供了理论支持和技术指导。
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引用次数: 0
A framework for fatigue life prediction of fiber reinforced composites with limited testing data 基于有限试验数据的纤维增强复合材料疲劳寿命预测框架
IF 6.8 2区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-12-21 DOI: 10.1016/j.ijfatigue.2025.109446
Lu Yubin , Wu Zhen
To ensure structural integrity, it is essential to establish an accurate fatigue life prediction model. Traditional regression models are constrained by predefined functional forms, which often neglect the effects of material properties. However, purely data-driven methods require large datasets and exhibit poor extrapolation ability. Therefore, this study develops a novel framework to accurately predict fatigue life using limited testing data. The framework consists of two main parts, namely feature selection and iterative generation-estimation process (IGEP). Based on Pearson correlation coefficient, Variance inflation factors and Shapley additive explanations, the stress level, strength, and stiffness are selected as critical features. The IGEP uniquely integrates two synergistic neural networks, namely a generative model L (mapping stress to life) and an estimated model D (mapping life to stress). Seven neural architectures are evaluated, and then Convolutional Neural Network (CNN) and a combined model including Convolutional Neural Network, Long Short-Term Memory, and Attention module (CNN-LSTM-Attention) are selected to construct L and D, respectively. Models L and D form a closed-loop system that iteratively refines life predictions under the constraint of the fundamental S-N relationship. Compared with experimental data, the predictive accuracy of the IGEP has been verified. Despite the paucity of available experimental data, IGEP can generate reliable fatigue life curves across a wide range of stress levels. Moreover, when applied to stress levels, laminate configurations and material systems beyond those represented in the training data, the IGEP demonstrates robust extrapolation capability. The proposed framework provides a practical and generalizable tool for fatigue life prediction in FRPs under data-limited conditions.
为了保证结构的完整性,建立准确的疲劳寿命预测模型至关重要。传统的回归模型受到预定义函数形式的约束,往往忽略了材料特性的影响。然而,纯数据驱动的方法需要大型数据集,并且表现出较差的外推能力。因此,本研究开发了一种新的框架,可以使用有限的测试数据准确预测疲劳寿命。该框架由特征选择和迭代生成估计过程(IGEP)两个主要部分组成。基于Pearson相关系数、方差膨胀因子和Shapley加性解释,选择应力水平、强度和刚度作为关键特征。IGEP独特地集成了两个协同神经网络,即生成模型L(将压力映射到生活)和估计模型D(将生活映射到压力)。评估了7种神经结构,然后选择卷积神经网络(CNN)和卷积神经网络、长短期记忆和注意模块(CNN- lstm -Attention)的组合模型分别构建L和D。模型L和D形成了一个闭环系统,在基本S-N关系的约束下迭代地细化寿命预测。通过与实验数据的比较,验证了IGEP预测的准确性。尽管缺乏可用的实验数据,但IGEP可以在广泛的应力水平范围内生成可靠的疲劳寿命曲线。此外,当应用于应力水平、层压板结构和材料系统时,IGEP显示出强大的外推能力。提出的框架为数据有限条件下frp的疲劳寿命预测提供了一个实用的、可推广的工具。
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引用次数: 0
Study on fatigue crack growth characteristics and microscopic damage evolution of ER8 wheel steel with different microstructures 不同组织ER8车轮钢疲劳裂纹扩展特征及细观损伤演化研究
IF 6.8 2区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-12-20 DOI: 10.1016/j.ijfatigue.2025.109444
Yuqi Qiao , Xiaohui Shi , Fengfeng Huo , Minhao Li , Junwei Qiao
In the present study, the fatigue crack growth characteristics of ER8 wheel steel were examined. Five billets with different microstructures were prepared by the hot working process. The correlation between fatigue crack growth rate (da/dN) and stress intensity factor range (ΔK) was derived based on stress-controlled fatigue experiments. Fatigue crack growth paths were analyzed with the assistance of electron backscatter diffraction (EBSD) technology. EBSD analysis revealed that cracks were deflected when encountering high-angle grain boundaries and tend to propagate along low-energy paths, with low-angle grain boundaries being such paths. Finally, based on the tensile property parameters of the materials, two prediction models were established to assess the effect of microstructural morphologies on the fatigue crack growth rate.
对ER8车轮钢的疲劳裂纹扩展特性进行了研究。采用热加工工艺制备了5种不同组织的钢坯。基于应力控制疲劳试验,推导了疲劳裂纹扩展速率(da/dN)与应力强度因子范围(ΔK)的相关关系。利用电子背散射衍射(EBSD)技术分析了疲劳裂纹的扩展路径。EBSD分析表明,裂纹在遇到高角度晶界时会发生偏转,并倾向于沿低能路径扩展,其中低角度晶界是低能路径。最后,基于材料的拉伸性能参数,建立了两种预测模型来评估微观组织形态对疲劳裂纹扩展速率的影响。
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引用次数: 0
A pseudo-damage-constrained data–model fusion method for dynamic load spectrum estimation in electric-drive assemblies 基于伪损伤约束数据模型融合的电传动组件动态载荷谱估计方法
IF 6.8 2区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-12-19 DOI: 10.1016/j.ijfatigue.2025.109445
Peng Liu, Haoyuan Li, Hailong Tian, Lai Wei, Yunshenghao Qiu
Dynamic load spectra for electric-drive assemblies are difficult to estimate from road tests because the signals are non-stationary, non-Gaussian, and noisy. We propose a pseudo-damage-constrained data–model fusion framework that reconstructs torque/load histories while preserving rainflow counting and fatigue consistency. The approach combines trend extraction with nonlinear state estimation and an innovation-based adaptive step that enforces pseudo-damage equivalence to the raw signal within a controlled tolerance. Extreme-value fits are used only as tail diagnostics to verify that rare high-load behavior is preserved; they are not involved in cycle counting. On representative road data, the method achieved a Peak–Valley Preservation Rate ≈93% and the lowest weighted-MAPE (26.2%) among EKF, PF, KalmanNet, and LSTM baselines, with clear gains in fatigue-critical mid–high levels and no inflation of the spectrum tail. The results indicate that the proposed framework yields higher-fidelity spectra for durability analysis and test-bench replay while keeping established fatigue rules (four-point rainflow with Goodman correction) unchanged.
由于信号是非平稳的、非高斯的和有噪声的,电驱动组件的动态负载谱很难从道路试验中估计出来。我们提出了一个伪损伤约束数据模型融合框架,重建扭矩/负载历史,同时保留雨流计数和疲劳一致性。该方法结合了趋势提取和非线性状态估计,以及基于创新的自适应步骤,该步骤在可控容限内对原始信号进行伪损伤等效。极值拟合仅用作尾部诊断,以验证保留了罕见的高负载行为;它们不参与循环计数。在代表性道路数据上,该方法在EKF、PF、KalmanNet和LSTM基线中实现了峰谷保留率≈93%,加权mape最低(26.2%),在疲劳临界中高水平上有明显的增益,并且没有频谱尾部膨胀。结果表明,所提出的框架在保持既定疲劳规则(四点雨流与Goodman校正)不变的情况下,为耐久性分析和试验台重播提供了更高保真度的光谱。
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引用次数: 0
Novel nonlinear fatigue damage model based on dynamic action coefficient with three factors 基于三因素动力作用系数的非线性疲劳损伤模型
IF 6.8 2区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-12-18 DOI: 10.1016/j.ijfatigue.2025.109451
Lu Zhang
The estimation of fatigue life is vital for ensuring structural durability and safety in engineering applications. To address the limitations of current nonlinear fatigue cumulative damage models, which often overlook the interplay between load sequence and material properties, a novel nonlinear fatigue damage accumulation model is developed in this work. By comprehensively reviewing and analyzing nonlinear action coefficients in prior enhanced models, a new function for the action coefficient is formulated, incorporating three key elements: adjacent stress ratio, material S-N curve slope, and equivalent fatigue damage. The key parameters of the model are determined based on two-level stress test data of multiple materials. Furthermore, using fatigue test data of various metal materials under two-level to five-level stress spectra, the prediction accuracy of the new model is compared and verified against 8 typical models. The results show that the new model exhibits better adaptability and prediction accuracy under different stress levels and load sequences, demonstrating good potential for engineering applications.
在工程应用中,疲劳寿命的估算对于保证结构的耐久性和安全性至关重要。针对现有非线性疲劳累积损伤模型忽略载荷顺序与材料性能之间相互作用的局限性,提出了一种新的非线性疲劳累积损伤模型。在综合分析前人增强模型中非线性作用系数的基础上,建立了包含相邻应力比、材料S-N曲线斜率和等效疲劳损伤三个关键因素的作用系数函数。该模型的关键参数是基于多种材料的双水平应力测试数据确定的。利用不同金属材料在两级至五级应力谱下的疲劳试验数据,与8种典型模型进行了预测精度的比较和验证。结果表明,该模型在不同的应力水平和荷载序列下具有较好的适应性和预测精度,具有较好的工程应用潜力。
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引用次数: 0
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International Journal of Fatigue
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