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A consistent crack bandwidth for higher-order beam theories: Application to concrete 高阶梁理论的一致裂缝带宽:应用于混凝土
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2023-12-16 DOI: 10.1177/10567895231215557
Jiahui Shen, Mário Rui Tiago Arruda, Alfonso Pagani
Higher-order theories have a broad range of successful applications but also suffer from localization instability and mesh-size dependency when modeling quasi-brittle materials such as concrete with strain-softening behavior. To overcome the above difficulties, this paper proposes a fracture energy regularization method with a unified, consistent crack bandwidth specifically tailored for higher-order beam theories. The Carrera unified formulation (CUF) is applied to develop scalable structural theories and related finite elements. To evaluate the accuracy of the new crack bandwidth, three typical experimental quasi-static benchmarks of pure concrete structures are utilized. A modified Mazars damage model with tensile and compressive softening laws is implemented in these benchmarks. The comparison between numerical and experimental results demonstrates that the proposed method can accurately determine the correct crack bandwidth and preserve the dissipated energy per unit area of a fracture surface. Moreover, this robust estimation of crack bandwidth reduces the mesh dependency in general, ensuring the high efficiency of the CUF model.
高阶理论有着广泛的成功应用,但在模拟混凝土等具有应变软化行为的准脆性材料时,也存在局部不稳定性和网格大小依赖性等问题。为了克服上述困难,本文提出了一种断裂能正则化方法,该方法具有统一、一致的裂缝带宽,专为高阶梁理论量身定制。Carrera 统一公式(CUF)被应用于开发可扩展的结构理论和相关有限元。为了评估新裂缝带宽的准确性,使用了三个典型的纯混凝土结构准静态实验基准。在这些基准中采用了具有拉伸和压缩软化规律的改良马扎斯损伤模型。数值结果与实验结果的对比表明,所提出的方法可以准确确定正确的裂缝带宽,并保持断裂面单位面积的耗散能量。此外,这种对裂纹带宽的稳健估计在总体上降低了网格依赖性,确保了 CUF 模型的高效性。
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引用次数: 0
Continuum damage mechanics of cyclic viscoplasticity using asymptotic numerical method 使用渐近数值法的循环粘弹性连续损伤力学
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2023-12-11 DOI: 10.1177/10567895231217036
Suvadeep Sen, Badri Prasad Patel
Conscious efforts on reduction of greenhouse gas emissions have led to an energy transition to renewable energy, however uncertainties of renewable energy production have resulted in higher thermal cycling demands from conventional power plants. Thermal load cycling at high temperature regions of steam turbine components leads to enhanced creep-fatigue damage accumulation. It is well established that such damage mechanism is numerically best predicted by unified constitutive modeling including damage as a variable as per the formalism of continuum damage mechanics at an expense of considerable computational efforts using finite element analysis. In this paper, the non-iterative Asymptotic Numerical Method (ANM), currently limited to partial cycle analysis with linear hardening plasticity model, is proposed for the first time to address cyclic viscoplasticity problems including damage capable of handling multiple cycles and most generalized loading conditions. Regularization techniques additionally necessary to implement loading-unloading-reloading criteria and advanced constitutive models etc. are presented. The constitutive model chosen for the formulation includes the non-linear multiple back stress variable modified Chaboche model to include damage combined with modified Chaboche-Rousselier isotropic hardening model to include damage, power law for viscoplasticity, Lemaitre’s damage potential and Kachanov-Rabotnov’s creep damage law. The method is verified with defined error measures and then applied to two high pressure steam turbine rotors, one with and another without thermal stress relief groove (TSRG) at the inlet under service type loading conditions to study the beneficial effect of the TSRG on creep-fatigue damage evolution. The accumulated errors of the proposed ANM and computational time are compared to a conventional Newton-Raphson solution.
为减少温室气体排放所做的努力促使能源向可再生能源过渡,但可再生能源生产的不确定性导致传统发电厂对热循环的要求更高。蒸汽轮机部件高温区域的热负荷循环导致蠕变疲劳损伤累积加剧。众所周知,这种损伤机制的最佳数值预测方法是按照连续损伤力学的形式,将损伤作为一个变量进行统一的结构建模,但这需要使用有限元分析进行大量的计算工作。本文首次提出了非迭代渐近数值方法(ANM),该方法目前仅限于使用线性硬化塑性模型进行部分循环分析,用于解决循环粘塑性问题,包括能够处理多个循环和大多数通用加载条件的损伤问题。此外,还介绍了实施加载-卸载-再加载准则所需的正则化技术和先进的构成模型等。所选择的构成模型包括非线性多背应力变量修正 Chaboche 模型(包括损伤)、修正 Chaboche-Rousselier 各向同性硬化模型(包括损伤)、粘塑性幂律、Lemaitre 损伤势能和 Kachanov-Rabotnov 蠕变损伤律。该方法通过定义的误差测量进行验证,然后应用于两个高压蒸汽轮机转子,一个在入口处有热应力消除槽(TSRG),另一个在服役类型加载条件下没有,以研究 TSRG 对蠕变-疲劳损伤演变的有利影响。将拟议 ANM 的累积误差和计算时间与传统的牛顿-拉夫逊(Newton-Raphson)解法进行了比较。
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引用次数: 0
Identification of the damage mechanism in orthopaedic implant. Case study including the biomechanical analysis 确定整形外科植入物的损伤机制。案例研究,包括生物力学分析
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2023-12-11 DOI: 10.1177/10567895231215553
Grzegorz Szczęsny, M. Kopeć, Adrian Łukaszewicz, Zbigniew L. Kowalewski
Implant breaking destabilizing the fracture may be caused by its structural defect, inappropriate use, or massive overloads. We present the patient, who broke the plate stabilizing comminuted clavicular fracture at the sixth postoperative week due to the, primarily reported, simple loading of the limb that should not exceeded admissible limits. Macroscopic examination excluded its manufacturing defect of an explant, but revealed areas of fatigue fractures, as well as anterior and inferior bending of its edges. Mechanical analysis proved sufficient material durability. Those findings clearly showed that the plate broke in consequence of repetitive overloads exceeding its durability. Patient, when acquitted with those results, confessed that the plate broke, while fishing. Moreover, he reported an episode of alcohol overuse that could contribute to implant failure bringing the risk of additional injury. Biomechanical analysis confirmed that mechanical loads throwing the spinner exceed values adequate for plate breaking. Thus, the real circumstances of the complication seem to be unveiled pointing out to facts that some patients disobey postoperative recommendations to avoid overloading of stabilized extremity, thus participating actively in this type of complications, that they dissemble the real circumstances of the complications, and that they may exhibit risky and irrational behavior. Basing on the presented case we concluded that in some cases plaster cast immobilization supporting stabilized fracture may be beneficial precluding banned activities and preventing from secondary injuries reducing the risk of postoperative complications.
植入物断裂导致骨折不稳的原因可能是其结构缺陷、使用不当或大量超负荷。我们接诊了一名患者,他在术后第6周因肢体简单负重而导致稳定锁骨粉碎性骨折的钢板断裂。宏观检查排除了其制造缺陷,但发现了疲劳断裂的区域,以及其边缘的前部和下部弯曲。机械分析证明其材料具有足够的耐久性。这些结果清楚地表明,钢板是在超过其耐久性的重复超负荷作用下断裂的。病人在得到这些结果后承认,钢板是在钓鱼时断裂的。此外,他还称曾有过酗酒的经历,这可能会导致植入物失效,并带来额外的伤害风险。生物力学分析证实,抛掷旋转器的机械负荷超过了足以导致钢板断裂的数值。因此,该并发症的真实情况似乎并不明显,这说明有些患者不遵守术后避免稳定肢体超负荷的建议,从而积极参与此类并发症的发生,他们不了解并发症的真实情况,可能会表现出冒险和不理智的行为。根据本病例,我们得出结论,在某些情况下,石膏固定支持稳定骨折可能是有益的,可以避免禁止活动,防止二次伤害,降低术后并发症的风险。
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引用次数: 0
Effects of multiple edge cracks, shear force, elastic foundation, and boundary conditions on bucking of small-scale pillars 多边缘裂缝、剪力、弹性地基和边界条件对小型支柱屈曲的影响
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2023-12-06 DOI: 10.1177/10567895231215558
H. Darban, Raimondo Luciano, Michał Basista
The buckling instability of micro- and nanopillars can be an issue when designing intelligent miniaturized devices and characterizing composite materials reinforced with small-scale beam-like particles. Analytical modeling of the buckling of miniaturized pillars is especially important due to the difficulties in conducting experiments. Here, a well-posed stress-driven nonlocal model is developed, which allows the calculation of the critical loads and buckling configurations of the miniaturized pillars on an elastic foundation and with arbitrary numbers of edge cracks. The discontinuities in bending slopes and deflection at the damaged cross-sections due to the edge cracks are captured through the incorporation of both rotational and translational springs. A comprehensive analysis is conducted to investigate the instability of pillars containing a range of one to four cracks. This analysis reveals interesting effects regarding the influence of crack location, nonlocality, and elastic foundation on the initial and subsequent critical loads and associated buckling configurations. The main findings are: (i) the shielding and amplification effects related to a system of cracks become more significant as the dimensions of pillars reduce, (ii) the influence of the shear force at the damaged cross-section related to the translational spring must not be neglected when dealing with higher modes of buckling and long cracks, (iii) an elastic foundation decreases the effects of the cracks and size dependency on the buckling loads, and (iv) the effects of the edge cracks on the critical loads and buckling configurations of the miniaturized pillars are highly dependent on the boundary conditions.
微柱和纳米柱的屈曲失稳是设计智能小型化器件和表征小尺度束状颗粒增强复合材料的一个问题。由于试验的困难,小型矿柱的屈曲分析建模显得尤为重要。本文建立了一个适定应力驱动的非局部模型,该模型可以计算弹性基础上任意数量边缘裂纹的小型化柱的临界载荷和屈曲构型。弯曲斜坡的不连续性和由于边缘裂缝而造成的损坏截面的挠度通过旋转和平移弹簧的结合被捕获。对含1 ~ 4条裂缝的矿柱失稳进行了综合分析。该分析揭示了裂纹位置、非局域性和弹性基础对初始和后续临界载荷以及相关屈曲构型的影响。主要研究结果如下:(i)随着柱的尺寸减小,与裂缝系统相关的屏蔽和放大效应变得更加显著;(ii)在处理更高阶屈曲模态和长裂缝时,与平移弹簧相关的受损截面剪切力的影响不容忽视;(iii)弹性基础降低了与屈曲载荷相关的裂缝和尺寸的影响。(4)边缘裂纹对微型化柱临界载荷和屈曲形态的影响高度依赖于边界条件。
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引用次数: 0
Entropy-based damage model for assessing the remaining useful fatigue life 用于评估剩余有用疲劳寿命的基于熵的损伤模型
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2023-12-02 DOI: 10.1177/10567895231215474
Ali Mahmoudi, Arash P. Jirandehi, Mohammad Ali Amooie, M. Khonsari
A reliable approach based on an entropy-damage model for assessing remaining useful fatigue life is presented. Two damage models are presented and evaluated to assess their effectiveness in predicting remaining useful life. The first model focuses on reduced toughness caused by fatigue degradation, while the second is based on accumulating entropy during fatigue loading. The entropy-based approach employs infrared thermography to anticipate entropy accumulation and damage status. Outcomes reveal that the entropy-driven technique offers enhanced precision. Moreover, its damage growth rate remains consistent, regardless of the number of cycles leading to failure, ensuring a more stable tracking of damage evolution. It successfully predicts the remaining useful life and can treat variable load sequencing without knowing the loading history. An extensive set of experimental results with carbon steel 1018 are presented to illustrate the utility of the approach.
提出了一种基于熵损伤模型的剩余有效疲劳寿命评估方法。提出了两种损伤模型,并对其进行了评估,以评估其在预测剩余使用寿命方面的有效性。第一个模型侧重于疲劳退化导致的韧性降低,而第二个模型基于疲劳加载过程中的累积熵。基于熵的方法采用红外热成像来预测熵积累和损伤状态。结果表明,熵驱动技术提供了更高的精度。此外,它的损伤增长速度保持一致,无论导致故障的循环次数,确保更稳定的损伤演变跟踪。它成功地预测了剩余使用寿命,并且可以在不知道加载历史的情况下处理可变负载排序。用碳钢1018进行了大量的实验,以说明该方法的实用性。
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引用次数: 0
A new damage constitutive model for frozen-thawed sandstone under triaxial conditions: Considering the characteristics of pre-peak compaction and post-peak residual strength 三轴条件下冻融砂岩的新破坏构造模型:考虑峰前压实和峰后残余强度的特征
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2023-11-28 DOI: 10.1177/10567895231215555
Xin Xiong, K. Zhou, Feng Gao, Chun Xu, Jie-lin Li
The study of the constitutive model under stress loading for rock after undergoing freeze-thaw weathering cycles (FTWCs) treatment has important theoretical significance for the site operation and numerical calculation of rock mass engineering in cold regions. In this work, a series of FTWCs treatment tests of sandstone were carried out, and the evolution characteristics of the T2 spectrum distribution curve for sandstone before and after FTWCs treatment were analyzed utilizing nuclear magnetic resonance (NMR) technology. The schematic diagram of freeze-thaw damage evolution for sandstone was drawn, and the damage evolution mechanism was analyzed. Evolution laws of the stress-strain curves, peak and residual strength, peak and residual strain, and Young's modulus of sandstone under different FTWCs and confining pressures were analyzed by conventional triaxial compression tests. A piecewise constitutive model under triaxial stress loading for sandstone after undergoing FTWCs treatment was established, and the model considered the significant influence of FTWCs on the nonlinear deformation in the compaction stage and residual strength. By introducing error analysis indexes, the proposed model and published models were compared with the experimental data, it was found that the proposed model's performance is better than the published models, which indicated that the proposed model has good performance and strong universality.
研究经过冻融风化循环(FTWCs)处理后岩石在应力荷载作用下的组成模型,对于寒冷地区岩体工程的现场操作和数值计算具有重要的理论意义。本研究对砂岩进行了一系列冻融风化处理试验,并利用核磁共振技术分析了冻融风化处理前后砂岩 T2 频谱分布曲线的演变特征。绘制了砂岩冻融损伤演变示意图,分析了损伤演变机理。通过常规三轴压缩试验,分析了砂岩在不同冻融碳化钨和约束压力下的应力-应变曲线、峰值和残余强度、峰值和残余应变以及杨氏模量的演变规律。建立了经 FTWCs 处理后砂岩在三轴应力加载下的片断组成模型,该模型考虑了 FTWCs 对压实阶段非线性变形和残余强度的显著影响。通过引入误差分析指标,将提出的模型和已发表的模型与实验数据进行对比,发现提出的模型性能优于已发表的模型,这表明提出的模型具有良好的性能和较强的普适性。
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引用次数: 0
Characteristics of orthopaedic implants damage and mechanisms of its initiation 骨科植入物损坏的特点及其引发机制
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2023-11-28 DOI: 10.1177/10567895231212329
Adrian Łukaszewicz, M. Kopeć, Grzegorz Szczęsny, Zbigniew L. Kowalewski
Implant fractures complicate orthopaedic procedures requiring secondary surgeries. However, it is not exactly known when the damage initiation starts and which factors predispose them to the highest degree. Thus, the aim of the study was to characterize changes observed in orthopaedic implants after their removal from the bone. Particular efforts were made to determine, which of them occur during the process of its production, installation, usage and removal. Such identification enabled to specify the role of lesions emerging during each period and their role in the implant’s deformation or fracture. The paper was focused on implants dedicated to the stabilization of the femur fractures since the bone transfers the highest loads. External surface and geometric features of eight representative implants were observed under standard and stereoscopic cameras, as well as under light and scanning electron microscopes. Macroscopic analysis of the investigated implants exhibited a number of defects in the form of scratches, abrasions, deformations and chipping. The wear degree of each implant was different and strictly depended on how it was implanted in the patient's body, as well as on how the patient exploited it through his mobility. Four different sources of implant integrity changes were identified: manufacturing-related changes, implant application-related changes, daily life-related changes and implant removal-related changes.
植入物骨折是骨科手术的并发症,需要进行二次手术。然而,人们并不确切知道损伤何时开始,也不知道哪些因素最容易导致损伤。因此,本研究的目的是分析骨科植入物从骨骼中取出后的变化特征。研究人员特别努力确定哪些变化发生在植入物的生产、安装、使用和移除过程中。通过这种识别,可以明确每个阶段出现的病变的作用,以及它们在植入物变形或断裂中的作用。本文的重点是用于稳定股骨骨折的植入物,因为骨头传递的负荷最大。在标准和立体相机以及光镜和扫描电子显微镜下观察了八个代表性植入体的外表面和几何特征。对所研究的植入体进行的宏观分析表明,它们存在许多划痕、擦伤、变形和崩裂等缺陷。每种植入物的磨损程度各不相同,并严格取决于植入患者体内的方式以及患者的活动方式。研究发现了四种不同的植入物完整性变化来源:与制造相关的变化、与植入物应用相关的变化、与日常生活相关的变化和与植入物移除相关的变化。
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引用次数: 0
The effects of boundary and inhomogeneities on the delamination of a bi-layered material system 边界和不均匀性对双层材料系统分层的影响
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2023-11-25 DOI: 10.1177/10567895231216008
Chunlin Wu, Huiming Yin
The inclusion-based boundary element method (iBEM) is developed to calculate the elastic fields of a bi-layered composite with inhomogeneities in one layer. The bi-material Green’s function has been applied to obtain the elastic field caused by the domain integral of the source fields on inclusions and the boundary integral of the applied loads on the surface. Using Eshelby’s equivalent inclusion method (EIM), the material mismatch between the particle and matrix phases is simulated with a continuously distributed source field, namely eigenstrain, on inhomogeneities so that the iBEM can calculate the local field. The stress singularity along the interface leads to the delamination of the bimaterials under a certain load. The crack’s energy release rate (  J) is obtained through the J-integral, which predicts the stability of the delamination. When the stiffness of one layer increases, the J-integral increases with a higher gradient, leading to lower stability. Particularly, the effect of the boundary and inhomogeneity on the J-integral is illustrated by changing the crack length and inhomogeneity configuration, which shows the crack is stable at the beginning stage and becomes unstable when the crack tip approaches the boundary; a stiffer inhomogeneity in the neighborhood of a crack tip decreases J and improves the fracture resistance. For the stable cracking phase, the J-integral increases with the volume fraction of inhomogeneity are evaluated. The model is applied to a dual-glass solar module with air bubbles in the encapsulant layer. The stress distribution is evaluated with the iBEM, and the J-integral is evaluated to predict the delamination process with the energy release rate, which shows that the bubbles significantly increase the J-integral. The effect of the bubble size, location, and number on the J-integral is also investigated. The present method provides a powerful tool for the design and analysis of layered materials and structures.
本文开发了基于夹杂物的边界元素法(iBEM),用于计算单层不均匀的双层复合材料的弹性场。应用双材料格林函数获得了由夹杂物上的源场的域积分和表面上的外加载荷的边界积分引起的弹性场。利用 Eshelby 的等效夹杂物方法(EIM),用非均质上的连续分布源场(即特征应变)模拟颗粒和基体相之间的材料失配,从而使 iBEM 可以计算局部场。沿界面的应力奇异性导致双材料在一定载荷下分层。裂纹的能量释放率(J)可通过 J 积分获得,从而预测分层的稳定性。当一层的刚度增加时,J 积分会以更高的梯度增加,从而导致稳定性降低。特别是通过改变裂纹长度和非均质性配置来说明边界和非均质性对 J 积分的影响,结果表明裂纹在开始阶段是稳定的,当裂纹尖端接近边界时变得不稳定;裂纹尖端附近较硬的非均质性降低了 J 值,提高了抗断裂性。对于稳定的开裂阶段,J 积分随非均匀性体积分数的增加而增加。该模型适用于封装层中含有气泡的双玻璃太阳能组件。利用 iBEM 评估了应力分布,并评估了 J 积分,以预测能量释放率的分层过程,结果表明气泡显著增加了 J 积分。此外,还研究了气泡大小、位置和数量对 J 积分的影响。本方法为层状材料和结构的设计与分析提供了强有力的工具。
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引用次数: 0
A multi-scale model from microscopic cracks to macroscopic damage of concrete at elevated temperatures 高温下混凝土从微观裂缝到宏观损伤的多尺度模型
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2023-11-22 DOI: 10.1177/10567895231215554
Bin Sun, Tong Guo
A multi-scale model is established to describe the relationship between the macroscopic damage evolution and microscopic cracks behaviors of concrete at elevated temperatures. The evolution equation of the ideal microscopic crack system of concrete at elevated temperatures is deduced for construct the model, which can predict the microscopic crack density and macroscopic damage of concrete at elevated temperatures. The multi-scale model fuses some advantages of the traditional microscopic and macroscopic damage models. Finally, multi-scale damage of a concrete block under high temperature is predicted and compared with the corresponding experimental results, which is utilized to support the ability of the developed model. The results show that the developed multi-scale model can be used to evaluate fire damage of concrete structures in macro-scale as well as explain its physical mechanisms in micro-scale.
建立了一个多尺度模型来描述高温下混凝土宏观损伤演变与微观裂缝行为之间的关系。推导出了高温下混凝土理想微观裂缝体系的演化方程,从而构建了该模型,该模型可预测高温下混凝土的微观裂缝密度和宏观损伤。多尺度模型融合了传统微观和宏观损伤模型的一些优点。最后,对混凝土块在高温下的多尺度损伤进行了预测,并与相应的实验结果进行了比较,以证明所开发模型的能力。结果表明,所开发的多尺度模型可用于在宏观尺度上评估混凝土结构的火灾损伤,并在微观尺度上解释其物理机制。
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引用次数: 0
Effect of printing direction on fatigue response and damage development in additive manufactured Haynes 282 nickel superalloy 打印方向对增材制造Haynes 282镍高温合金疲劳响应和损伤发展的影响
2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2023-11-07 DOI: 10.1177/10567895231204951
Mateusz Kopec, Xiaochuan Liu, Dominik Kukla, Ryszard Sitek, Zbigniew L Kowalewski
In this paper, three different directions of 0°, 45° and 90° were used to manufacture the Haynes 282 alloy bars by using the Direct Metal Laser Sintering (DMLS) method. The additively manufactured specimens as well as these of the wrought Haynes 282 were subsequently subjected to comparative fatigue tests in the range of stress amplitude from ±400 MPa to ±800 MPa. The AM process enhanced the fatigue response of the nickel-based alloy in question by 200 MPa. Furthermore, it was found, that the printing direction does not affect the fatigue response of additively manufactured specimens significantly as minor differences in service life were observed for the entire stress amplitude range adopted. Finally, fatigue damage measure φ and fatigue damage parameter D approaches were used to reveal the dynamics of damage development and to monitor damage development due to fatigue.
本文采用直接金属激光烧结(DMLS)方法,采用0°、45°和90°三个不同方向制备了Haynes 282合金棒材。随后,在±400 MPa至±800 MPa的应力幅范围内,对增材制造的试样以及变形的Haynes 282试样进行了比较疲劳试验。增材制造工艺使镍基合金的疲劳响应提高了200 MPa。此外,发现打印方向对增材制造试样的疲劳响应没有显著影响,在采用的整个应力幅值范围内,使用寿命差异很小。最后,采用疲劳损伤测度φ法和疲劳损伤参数D法来揭示损伤发展动态,并对疲劳损伤发展进行监测。
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引用次数: 0
期刊
International Journal of Damage Mechanics
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