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A strain-based J-integral formulation for an internal circumferential surface crack of pipeline under inner pressure and large axial deformation 内压和大轴向变形条件下管道内圆周表面裂缝的应变 J 积分公式
IF 3 2区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-09-10 DOI: 10.1016/j.ijpvp.2024.105316
Di Zhao , Weitao Gao , Kai Zhao , Hang Zheng , Jian Chen , Jilin Yu , Zhijun Zheng

The presence of cracks on pipelines poses a potential threat to their operational status, and it is critical to assess the permissibility of pipelines containing cracks. The dimensional analysis combined with the finite element method is applied to investigate the fracture behavior of circumferential crack on the internal surface of pipe under internal pressure and large axial deformation. Dimensionless parameters are determined to represent the effects of crack size, pipe geometry, pipe material, and external load on the crack front driving force, and a strain-based J-integral formulation is obtained by a stepwise coefficient fitting approach rather than a polynomial fitting method. This J-integral formula can be used to quickly assess the crack front driving force of a pipe in service condition and subjected to axial displacement. The diameter-to-thickness ratio of the pipe and the dimensionless pressure of the pipe are found to act together in a combined form on the crack front driving force. Increases in dimensionless crack depth, dimensionless crack length, the ratio of circumferential stress to yield strength of the pipe, and strain hardening exponent cause an increase in the crack front driving force. The effect of dimensionless crack depth on crack front driving force is more significant than other dimensionless parameters. Changes in the other dimensionless parameters do not significantly change the crack front driving force when the dimensionless crack depth is small. Other dimensionless parameters have a progressively greater influence on the crack front driving force as the crack dimensionless crack depth increases. Large deformations in the ligament zone and increasing axial stress are the main reasons for the high crack front driving force. The J-integral formula has a similar form to that of the J-integral in the Electric Power Research Institute (EPRI) method when the effect of internal pressure is not considered. It can be reduced to predict the crack front driving force of a surface cracked plate subjected to uniaxial tensile loading. For the interaction between an internal surface crack and an embedded crack, re-characterizing the crack size using BS 7910 will overestimate the equivalent crack depth, and a more accurate equivalent crack size can be obtained using the J-integral formula proposed.

管道上裂纹的存在对其运行状态构成潜在威胁,因此评估管道是否允许存在裂纹至关重要。本文采用尺寸分析与有限元法相结合的方法,研究了管道内表面周向裂纹在内压和大轴向变形条件下的断裂行为。确定了代表裂纹尺寸、管道几何形状、管道材料和外部载荷对裂纹前驱动力影响的无量纲参数,并通过逐步系数拟合方法而非多项式拟合方法获得了基于应变的 J 积分公式。该 J 积分公式可用于快速评估处于使用状态并承受轴向位移的管道的裂缝前驱动力。我们发现,管道的直径厚度比和管道的无量纲压力共同作用于裂缝前驱动力。无量纲裂纹深度、无量纲裂纹长度、管道圆周应力与屈服强度之比以及应变硬化指数的增加都会导致裂纹前驱动力的增加。与其他无量纲参数相比,无量纲裂纹深度对裂纹前驱动力的影响更为显著。当无量纲裂纹深度较小时,其他无量纲参数的变化不会显著改变裂纹前驱动力。随着无量纲裂纹深度的增加,其他无量纲参数对裂纹前驱动力的影响逐渐增大。韧带区的大变形和轴向应力的增加是裂纹前驱动力大的主要原因。在不考虑内压影响的情况下,J 积分公式与电力研究所(EPRI)方法中的 J 积分公式形式相似。它可以简化为预测承受单轴拉伸载荷的表面裂纹板的裂纹前驱动力。对于内部表面裂纹和嵌入裂纹之间的相互作用,使用 BS 7910 重新描述裂纹尺寸会高估等效裂纹深度,而使用所提出的 J 积分公式可以获得更精确的等效裂纹尺寸。
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引用次数: 0
Impact of stacking sequence on burst pressure in glass/epoxy Type IV composite overwrapped pressure vessels for CNG storage 堆叠顺序对用于 CNG 储存的玻璃/环氧 IV 型复合材料外包装压力容器爆破压力的影响
IF 3 2区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-09-07 DOI: 10.1016/j.ijpvp.2024.105315
Lucas L. Agne , José Humberto S. Almeida Jr , Sandro C. Amico , Maikson L.P. Tonatto

The shift from metallic to composite pressure vessels for storing compressed natural gas (CNG) is driven by the goal of reducing environmental impact by using lighter higher-performing structures. This work focuses on enhancing the internal pressure strength of a type IV composite overwrapped pressure vessel (COPV) by optimising the stacking sequence of the overwrapping composite layers. Parametric finite element (FE) models are developed to reveal symmetry effects. In these models, both the thickness build-up and fibre angle variation at the turnaround zones are accurately modelled. Subsequently, the stacking sequence is optimised with the objective function of maximising burst strength. The parametric modelling demonstrates that representing the COPV as an axisymmetric continuum reduces computational costs in 5400× while yielding results comparable to full 3D continuum models. Experimental burst tests are carried out to validate the numerical predictions, and the difference in pressure between them is 12.6 %.

通过使用更轻、性能更高的结构来减少对环境的影响,是压缩天然气(CNG)储存压力容器从金属向复合材料转变的驱动力。这项研究的重点是通过优化复合材料包覆层的堆叠顺序,提高 IV 型复合材料包覆压力容器 (COPV) 的内部压力强度。为揭示对称效应,开发了参数有限元 (FE) 模型。在这些模型中,转折区的厚度增加和纤维角度变化都得到了精确模拟。随后,以爆破强度最大化为目标函数对堆叠顺序进行了优化。参数建模表明,将 COPV 表示为轴对称连续体可降低 5400 倍的计算成本,同时得出的结果可与全三维连续体模型相媲美。为验证数值预测结果,进行了爆破试验,两者之间的压力差为 12.6%。
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引用次数: 0
Hydrostatic failure behavior of externally pressurized ceramic egg-shaped shells 外部加压陶瓷蛋形外壳的静水失效行为
IF 3 2区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-09-07 DOI: 10.1016/j.ijpvp.2024.105313
Huinan Kang , Jian Zhang , Yunsen Hu , Ming Zhan , Xilu Zhao

This study investigated the failure behavior of ceramic egg-shaped shells under external pressure. Four ceramic egg-shaped shells with two thicknesses were manufactured and then subjected to geometric measurements, hydrostatic pressure tests, analytical validations, and numerical simulations. The experimental results were compared with the simulation results to validate the feasibility of the numerical modeling. Furthermore, the effects of thickness and shape on ceramic egg-shaped shells were explored. The research findings indicate that ceramic egg-shaped shells have excellent compressive properties. The performance ratio of these ceramic egg-shaped shells is approximately 10 and 5 times higher than those of resin and steel egg-shaped shells, respectively. This finding highlights the crucial role that affordable ceramic materials can play in facilitating the widespread use of submersibles in deep waters.

本研究探讨了陶瓷蛋形外壳在外部压力作用下的失效行为。研究人员制造了四种厚度的陶瓷蛋形外壳,并对其进行了几何测量、静水压力测试、分析验证和数值模拟。实验结果与模拟结果进行了比较,以验证数值建模的可行性。此外,还探讨了厚度和形状对陶瓷蛋形外壳的影响。研究结果表明,陶瓷蛋形外壳具有优异的抗压性能。这些陶瓷蛋形外壳的性能比分别比树脂蛋形外壳和钢蛋形外壳高出约 10 倍和 5 倍。这一发现凸显了经济实惠的陶瓷材料在促进深水潜水器广泛使用方面可发挥的关键作用。
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引用次数: 0
A new strategy for springback compensation of spatial tube product in free bending technology 自由弯曲技术中空间管产品回弹补偿的新策略
IF 3 2区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-09-06 DOI: 10.1016/j.ijpvp.2024.105305
Shuai Zhang , Zhenming Yue , Aijun Xu , Yusen Li , Yuliang Qiu , Fanjuan Meng

Three-dimensional free bending technology (3D-FBT), as an innovative tube forming process, can achieve complex spatial tube components. However, caused by springback problem how to optimize its forming accuracy for the spatially curved components of tubes is still a major issue. In this study, a springback compensation model for variable curvature tube bending components is constructed and validated based on a developed discretization methodology. The central axis curve of the tube is discretized, and the spatial compensation angles in different cylindrical helix elements were incrementally calculated by a springback analysis model, in which the stress neutral layer offset on the cross-section of the tube induced by axial thrust force. Finally, the validation and accuracy of the proposed methodology is proved through a typical 3D tube component of AL6061. By comparing the numerical and experimental results, it is found that the average shape error of the 3D component is 2.62 mm (24.52 mm without compensation).

三维自由弯曲技术(3D-FBT)作为一种创新的管材成型工艺,可以实现复杂的空间管材部件。然而,由于回弹问题,如何优化空间弯曲管件的成形精度仍是一个主要问题。在本研究中,基于开发的离散化方法,构建并验证了变曲率管材弯曲部件的回弹补偿模型。在轴向推力的作用下,管子横截面上的应力中性层发生偏移,通过回弹分析模型对管子的中心轴曲线进行离散化,并逐步计算不同圆柱螺旋元素中的空间补偿角。最后,通过一个典型的 AL6061 三维管组件证明了所提方法的有效性和准确性。通过比较数值结果和实验结果,发现三维部件的平均形状误差为 2.62 毫米(无补偿时为 24.52 毫米)。
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引用次数: 0
Resilience analysis of stress corrosion cracking in AISI 4340 steel under varying industrial electrochemical conditions 不同工业电化学条件下 AISI 4340 钢应力腐蚀开裂的弹性分析
IF 3 2区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-09-04 DOI: 10.1016/j.ijpvp.2024.105304
Hasan Hamdan , Abdullah Alsit , Aghyad B. Al Tahhan , Hadi Jaber , Abdel-Hamid I. Mourad , Mariam Jaber , Mohammad Alkhedher

Stress Corrosion Cracking (SCC) presents a substantial challenge within industries where materials confront both mechanical stresses and corrosive environments. This work comprehensively examines SCC, incorporating the collection and analysis of a diverse dataset. The dataset encompasses pivotal parameters, including time to failure, corrosion rates, and electrochemical data. These parameters are meticulously garnered through Slow Strain Rate Testing on carefully prepared smooth, round tension specimens. The experiments are vigilantly overseen through a condition-based data acquisition and logging system, employing various Potentiostatic loads to mirror real-world electrochemical conditions. This research elucidates the intricate interplay between mechanical stresses, electrochemical processes, and corrosive conditions, rendering crucial insights for industries dependent on material integrity amidst formidable environmental challenges. Findings show that AISI 4340 Steel specimens exposed to a +400mV potential in NS4 solution exhibit an extended time to failure of approximately 7.4 days. Conversely, a 1200mV potential in NS4 accelerates the failure to around 5.24 days. In a 3.5wt% NaCl solution at 0mV, the time to failure is approximately 5.76 days. On the other hand, an applied potential of +400mV increases the failure time to approximately 6.16 days. And an applied potential of 1200mV accelerates the failure time to approximately 4.77 days. Specifically, the study reflects on structures submerged in water and those buried underground, represented by NS4 (Near Neutral Soil Simulating Solution) and 3.5w.t.% NaCl solutions, simulating real-world corrosive conditions. Through a deeper comprehension of SCC, industries can better anticipate and mitigate the risks associated with material failure in harsh environmental conditions, advancing the safeguarding of critical infrastructures.

应力腐蚀开裂(SCC)在材料同时面临机械应力和腐蚀环境的行业中是一项巨大的挑战。本研究通过收集和分析各种数据集,对 SCC 进行了全面研究。数据集包含关键参数,包括失效时间、腐蚀速率和电化学数据。这些参数是通过对精心制备的光滑圆形拉伸试样进行慢应变速率测试而精心收集的。通过基于条件的数据采集和记录系统,采用各种恒电位载荷来反映真实世界的电化学条件,从而对实验进行严格的监督。这项研究阐明了机械应力、电化学过程和腐蚀条件之间错综复杂的相互作用,为在严峻的环境挑战中依赖材料完整性的行业提供了至关重要的见解。研究结果表明,暴露在 NS4 溶液中 +400mV 电位的 AISI 4340 钢试样的失效时间延长了约 7.4 天。相反,NS4 溶液中的 -1200mV 电位会将失效时间缩短至 5.24 天左右。在 0mV 的 3.5wt% NaCl 溶液中,失效时间约为 5.76 天。另一方面,施加 +400mV 的电位会将失效时间延长至约 6.16 天。而施加 -1200mV 的电位会将失效时间加速到约 4.77 天。具体而言,研究反映了浸没在水中的结构和埋在地下的结构,以 NS4(近中性土壤模拟溶液)和 3.5w.t.% NaCl 溶液为代表,模拟真实世界的腐蚀条件。通过加深对 SCC 的理解,各行业可以更好地预测和降低材料在恶劣环境条件下失效的相关风险,从而推进关键基础设施的保护工作。
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引用次数: 0
Reduction in residual stress and distortion of thin-walled inconel 718 specimens fabricated by selective laser melting: Experiment and numerical simulation 减少选择性激光熔化法制造的薄壁 inconel 718 试样的残余应力和变形:实验和数值模拟
IF 3 2区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-09-04 DOI: 10.1016/j.ijpvp.2024.105292
T. Wu , C. Li , F. Sun , P.F. Liu , H.B. Xia

Residual stresses were induced in the fabrication of thin-walled Inconel 718 specimens through selective laser melting (SLM) due to rapid heating and cooling, which yield distortion and have a detrimental impact on their mechanical performance. Reducing the process-induced residual stress and distortion is of great importance for practical applications. For achieving this aim, accurate measurement of residual stress and distortion is required. In the present work, residual stresses of SLMed samples were measured through hole drilling method (HDM), taking into account their anisotropic features. The distortion induced by the release of residual stress after manufacturing was measured using digital image correlation (DIC). The effect of thickness of thin-walled samples on residual stress and distortion was investigated. The results indicate that by reducing the thickness of sample, the residual stress could be reduced, whereas the distortion was increased. Furthermore, it was revealed that by manufacturing a pair of side samples in one printing job, the distortion and residual stress of the thin-walled component fabricated by SLM can be evidently reduced. The obtained results were clarified by using thermal-mechanical simulations of SLM.

在通过选择性激光熔化(SLM)制造薄壁 Inconel 718 试样的过程中,由于快速加热和冷却会产生残余应力,从而导致变形并对其机械性能产生不利影响。减少加工过程引起的残余应力和变形对实际应用非常重要。为实现这一目标,需要对残余应力和变形进行精确测量。在本研究中,考虑到 SLMed 样品的各向异性特征,通过钻孔法(HDM)测量了其残余应力。使用数字图像相关(DIC)测量了制造后残余应力释放引起的变形。研究了薄壁样品的厚度对残余应力和变形的影响。结果表明,通过减小样品厚度,残余应力可以减小,而变形却增大了。此外,研究还发现,通过在一次印刷作业中制造一对侧边样品,可以明显减小用 SLM 制造的薄壁部件的变形和残余应力。利用 SLM 的热机械模拟对所获得的结果进行了澄清。
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引用次数: 0
Detection of deposits adhered on the back surface of plate-like structures using a scanning laser source technique 利用扫描激光源技术检测板状结构背面附着的沉积物
IF 3 2区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-09-03 DOI: 10.1016/j.ijpvp.2024.105303
Shoma Tanaka, Takahiro Hayashi, Naoki Mori

An imaging technique using a scanning laser source (SLS) was applied to detect deposits inside pipes, which are necessary for the safe decommissioning of the Fukushima Nuclear Power Plant. Experimental results showed that the more firmly adhered the deposit on the back surface of a flat plate, the clearer it is to obtain an image of the deposit. This result is as expected because the imaging by an SLS technique is dependent on the bending stiffness of the thin plate structure. Furthermore, even epoxy putty as large as 50 mm in diameter adhered to the inner surface of the pipe could be imaged, and even when the receiver device was changed from a piezoelectric device to a non-contact laser doppler vibrometer, the image of the deposit could be obtained properly with some degradation of the image due to the effect of a lower signal-to-noise ratio.

使用扫描激光源 (SLS) 的成像技术检测了管道内的沉积物,这对福岛核电站的安全退役非常必要。实验结果表明,沉积物在平板背面附着得越牢固,沉积物的图像就越清晰。这一结果在意料之中,因为 SLS 技术的成像取决于薄板结构的弯曲刚度。此外,即使是粘附在管道内表面的直径达 50 毫米的环氧腻子也能成像,甚至当接收装置从压电装置改为非接触式激光多普勒测振仪时,也能正确获得沉积物的图像,只是由于信噪比较低的影响,图像会有一些衰减。
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引用次数: 0
Stress relaxation assessment of high-temperature bolts under combined biaxial loads: Theory and simulation 组合双轴载荷下高温螺栓的应力松弛评估:理论与模拟
IF 3 2区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-08-30 DOI: 10.1016/j.ijpvp.2024.105302
Cheng Gong , Jian Xiao , Xiuqing Lu , Peishan Ding , Xiaotao Zheng

Estimating bolt stress within high-temperature bolted connection systems is crucial for determining bolt preload and assessing bolt assembly integrity. This work proposes a theoretical model for estimating high-temperature bolt load under combined tension, bending, torque, and shear loads, considering the characteristics of bolt stress distribution and relaxation. To assess the model's accuracy, finite element analysis was employed to examine the impact of various creep parameters and load combinations on bolt stress relaxation. The results indicate that the introduction of bending moments, torque, and shear loads accelerates axial stress relaxation in bolts. Under a high-temperature load for 300,000 h, the stress relaxation predicted by the theoretical model aligns well with the results from finite element analysis.

估算高温螺栓连接系统中的螺栓应力对于确定螺栓预紧力和评估螺栓装配完整性至关重要。考虑到螺栓应力分布和松弛的特点,本研究提出了一种理论模型,用于估算螺栓在拉伸、弯曲、扭矩和剪切组合载荷下的高温载荷。为了评估该模型的准确性,采用了有限元分析来研究各种蠕变参数和载荷组合对螺栓应力松弛的影响。结果表明,引入弯矩、扭矩和剪切载荷会加速螺栓的轴向应力松弛。在持续 30 万小时的高温载荷下,理论模型预测的应力松弛与有限元分析的结果非常吻合。
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引用次数: 0
Experimental and numerical study on the material constraint effect in pipeline steel welded joint 管道钢焊接接头材料约束效应的实验和数值研究
IF 3 2区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-08-28 DOI: 10.1016/j.ijpvp.2024.105301
Yinhui Zhang, Fuxiang Wang, Zhengqiang Lei, Yanhui Zhang, Wenbo Xuan, Hui Yang, Guangyong Yang, Xin Su, Jian Chen, Ting Zhong

An in-depth analysis of the material constraint effect is crucial for accurately determining the constitutive relationship and safety evaluation of pipeline steel welded joint. Therefore, this work combines experiments and finite element simulations to study the constraint effect. Through the welding method, the weld specimens with different sizes and strength mismatch conditions are prepared. The microstructure and hardness distribution of the specimens are measured, and tensile tests based on the digital image correlation (DIC) technology are conducted. Finite element models of the weld specimens with different sizes and material parameters are established, followed by tensile simulations and detailed analysis. Based on the experiments and numerical simulations, the tensile strain responses, stress-strain curves, and material parameters of different weld specimens are obtained. The results show that the smaller the weld width, the more significant the effect of the material constraint. For undermatched welds, the calculated stress of the weld metal (WM) increases with the decrease of the weld width. Additionally, the calculated stress of WM also increases with the decrease of the mismatch coefficient, where the mismatch coefficient refers to the ratio of the yield strength of WM to that of the base metal (BM). Conversely, for overmatched welds, the calculated stress of WM decreases with the decrease of the weld width. The material constraint effect is also influenced by the mismatch condition of the weld. An increase in the mismatch coefficient reduces the effective range of the stress-strain curve obtainable for WM. To analyze the effect of the mismatch condition, it is necessary to comprehensively compare the yield strength and strain hardening capacity of each material. The width-to-thickness ratio of the weld specimen has little effect on the calculated stress of WM. The finite element simulation method can be used to correct the stress-strain curves obtained from the tests to achieve accurate constitutive relationships.

深入分析材料的约束效应对于准确确定管道钢焊接接头的构成关系和安全评估至关重要。因此,本研究结合实验和有限元模拟对约束效应进行了研究。通过焊接方法,制备了不同尺寸和强度失配条件下的焊接试样。测量了试样的微观结构和硬度分布,并基于数字图像相关(DIC)技术进行了拉伸试验。建立了不同尺寸和材料参数的焊接试样的有限元模型,随后进行了拉伸模拟和详细分析。在实验和数值模拟的基础上,得出了不同焊缝试样的拉伸应变响应、应力-应变曲线和材料参数。结果表明,焊缝宽度越小,材料约束的影响越明显。对于咬合焊缝,焊缝金属(WM)的计算应力随着焊缝宽度的减小而增大。错配系数是指 WM 的屈服强度与母材 (BM) 的屈服强度之比。相反,对于过匹配焊缝,WM 的计算应力随着焊缝宽度的减小而减小。材料约束效应还受到焊缝失配情况的影响。失配系数的增加会减小 WM 应力-应变曲线的有效范围。要分析错配条件的影响,有必要综合比较每种材料的屈服强度和应变硬化能力。焊接试样的宽厚比对 WM 的计算应力影响不大。有限元模拟法可用于修正试验获得的应力-应变曲线,以实现精确的构成关系。
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引用次数: 0
Evaluation of the fatigue life of AISI 347 specimens with small notches based on local strain considerations 基于局部应变考虑评估带有小缺口的 AISI 347 试样的疲劳寿命
IF 3 2区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2024-08-23 DOI: 10.1016/j.ijpvp.2024.105297
Klaus Heckmann , Jürgen Sievers , Ruth Acosta , Christian Boller , Tim Schopf , Stefan Weihe , Tobias Bill , Peter Starke , Lukas Luecker , Kai Donnerbauer , Frank Walther

The use of materials data for cyclic loading determined on unnotched specimens to predict the fatigue life of notched components has a long tradition, specifically when it comes to nuclear engineering. The basic principle is that the material behaviour of the unnotched specimens can be transferred to what the material is exposed to be in a notch root. This principle has been proven for large notches. However, what happens when the notch is relatively small? Can the fatigue life still be predicted on the grounds of what has been considered as the local strain or Neuber approach? A key reference in that regard is the Neuber equation or generally the load versus notch stress, notch strain – or any combination of those – relationship. In a larger study, unnotched and notched specimens from the metastable austenitic steel AISI 347 have been tested and characterized providing a database that may give some answers to the question raised above.

The unnotched specimens considered here had a cross-section diameter of 10 mm while the notch radii of the notched components were only 0.5 and 0.35 mm, respectively. Notch radii of such dimensions will easily reach a fully plastic condition once the material has exceeded the yield limit, because the difference in load between yield start in the notch and full plastification is relatively small. This fully plastic state exceeds the validity of the Neuber equation and requires respective corrections. In this paper it is shown how such corrections can be obtained through a finite element analysis and how this applies to the cases mentioned above.

使用在无缺口试样上确定的循环加载材料数据来预测缺口部件的疲劳寿命由来已久,特别是在核工程领域。其基本原理是,无缺口试样的材料特性可以转化为缺口根部材料的特性。这一原理已在大缺口中得到证实。然而,当缺口相对较小时会发生什么情况?疲劳寿命还能根据被认为是局部应变或 Neuber 方法来预测吗?这方面的一个重要参考是 Neuber 方程,或者通常是载荷与缺口应力、缺口应变或它们的任意组合之间的关系。在一项规模较大的研究中,我们测试并表征了来自 AISI 347 可变质奥氏体钢的无缺口和有缺口试样,并提供了一个数据库,该数据库可能会对上述问题给出一些答案。一旦材料超过屈服极限,这种尺寸的缺口半径很容易达到全塑化状态,因为缺口中的屈服起始点与全塑化之间的载荷差异相对较小。这种全塑化状态超出了 Neuber 方程的有效性,需要进行相应的修正。本文展示了如何通过有限元分析获得此类修正,以及如何将其应用于上述情况。
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引用次数: 0
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International Journal of Pressure Vessels and Piping
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