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Strain energy density and entire fracture surface parameters relationship for LCF life prediction of additively manufactured 18Ni300 steel 用于加成制造 18Ni300 钢 LCF 寿命预测的应变能密度与整个断裂面参数的关系
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-05-03 DOI: 10.1177/10567895241245879
Wojciech Macek, Ricardo Branco, Joel de Jesus, José Domingos Costa, Shun-Peng Zhu, Reza Masoudi Nejad, Andrew Gryguć
In this study, the connection between total strain energy density and fracture surface topography is investigated in additively manufactured maraging steel exposed to low-cycle fatigue loading. The specimens were fabricated using laser beam powder bed fusion (LB-PBF) and examined under fully-reversed strain-controlled setup at strain amplitudes scale from 0.3% to 1.0%. The post-mortem fracture surfaces were explored using a non-contact 3D surface topography measuring system and the entire fracture surface method. The focus is on the relationship between fatigue characteristics, expressed by the total strain energy density, and the fracture surface topography features, represented by areal, volume, and fractal dimension factors. A fatigue life prediction model based on total strain energy density and fracture surface topography parameters is proposed. The presented model shows good accordance with fatigue test results and outperforms other existing models based on the strain energy density. This model can be useful for post-failure analysis of engineering elements under low-cycle fatigue, especially for materials produced by additive manufacturing (AM).
本研究探讨了暴露于低循环疲劳加载的快速成型马氏体时效钢的总应变能密度与断裂表面形貌之间的联系。试样采用激光束粉末熔床(LB-PBF)制造,并在应变振幅为 0.3% 至 1.0% 的完全反向应变控制设置下进行检测。使用非接触式三维表面形貌测量系统和整个断裂面方法对死后断裂面进行了研究。重点是以总应变能密度表示的疲劳特性与以面积、体积和分形维度因子表示的断裂表面形貌特征之间的关系。提出了一个基于总应变能密度和断裂表面形貌参数的疲劳寿命预测模型。所提出的模型与疲劳测试结果吻合良好,优于其他基于应变能密度的现有模型。该模型可用于工程元件在低循环疲劳条件下的失效后分析,尤其适用于通过增材制造(AM)生产的材料。
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引用次数: 0
Enhancing the acoustic emission technique using fuzzy artificial bee colony-based deep learning for characterizing selective laser melted AlSi10Mg specimens 利用基于模糊人工蜂群的深度学习增强声发射技术,以表征选择性激光熔融 AlSi10Mg 试样
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-05-01 DOI: 10.1177/10567895241247325
Claudia Barile, Caterina Casavola, Dany Katamba Mpoyi, Giovanni Pappalettera, Vimalathithan Paramsamy Kannan
This article presents a classification of Acoustic Emission (AE) signals from AlSi10Mg specimens produced via Selective Laser Melting (SLM). Tensile tests characterized the mechanical properties of specimens printed in different orientations (X, Y, Z, 45°). Initially, a study quantified damage modes based on the stress-strain curve and cumulative AE energy. AE signals for each specimen (X, Y, 45°, Z), across deformation stages (elastic and plastic), and damage modes were analyzed using continuous wavelet transform to extract time-frequency features. A novel convolutional neural network, based on artificial bee colonies and fuzzy C-means, was developed for scalogram classification. Data augmentation with Gaussian white noise enhanced the approach. Cross-validation ensured robustness against overfitting and suboptimal local maxima. Evaluation metrics, including the confusion matrix, precision-recall curve, and F1 score, demonstrated the algorithm's high accuracy of 92.6%, precision-recall curve of 92.5%, and F1 score of 92.5% for AE signals based on printing direction (X, Y, 45°, Z). The study highlighted the potential for improving AE signal classification related to elastic and plastic deformation stages with 100% accuracy. For damage modes, the algorithm achieved a confusion matrix accuracy of 90.6%, a precision-recall curve of 90.4%, and an F1 score of 90.5%. This approach demonstrates high accuracy in classifying AE signals across different printing orientations, deformation stages, and damage modes of AlSi10Mg specimens manufactured through SLM.
本文介绍了通过选择性激光熔融(SLM)技术生产的 AlSi10Mg 试样的声发射(AE)信号分类。拉伸试验表征了以不同方向(X、Y、Z、45°)打印的试样的机械性能。最初,一项研究根据应力-应变曲线和累积 AE 能量对损坏模式进行了量化。使用连续小波变换分析了每个试样(X、Y、45°、Z)、不同变形阶段(弹性和塑性)和损伤模式的 AE 信号,以提取时频特征。在人工蜂群和模糊 C-means 的基础上,开发了一种新型卷积神经网络,用于扫描图分类。用高斯白噪声增强数据增强了该方法。交叉验证确保了对过度拟合和次优局部最大值的稳健性。包括混淆矩阵、精度-召回曲线和 F1 分数在内的评估指标表明,该算法对基于印刷方向(X、Y、45°、Z)的 AE 信号的准确率高达 92.6%,精度-召回曲线高达 92.5%,F1 分数高达 92.5%。该研究强调了以 100% 的准确率改进与弹性和塑性变形阶段相关的 AE 信号分类的潜力。对于损伤模式,该算法的混淆矩阵准确率达到 90.6%,精确度-召回曲线达到 90.4%,F1 分数达到 90.5%。这种方法在对通过 SLM 制造的 AlSi10Mg 试样的不同印刷方向、变形阶段和损伤模式的 AE 信号进行分类方面具有很高的准确性。
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引用次数: 0
Modeling of viscoelastic deformation and rate-dependent fracture damage in rat bone 大鼠骨骼粘弹性变形和随速率变化的断裂损伤建模
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-05-01 DOI: 10.1177/10567895241245716
Santosh Reddy Kommidi, Yong-Rak Kim, Do-Gyoon Kim
Bone is a complex hierarchical structural material whose organ-level response is highly influenced by its constitutive behavior at the microstructural level, which can dictate the inelastic nonlinear deformation and fracture within the organ. In the current study, a combined experimental-computational approach was sought to first obtain the local constitutive properties. Later, a multiscale modeling framework utilizing a novel rate-dependent nonlinear viscoelastic cohesive zone (NVCZ) model was used to explore the fracture behavior at the microstructure of the bone and its influence on the global scale (organ-level) response. Toward this end, nanoindentation testing was conducted within the cross-section of a rat femur bone specimen. An inverse optimization process was used to identify the isotropic linear viscoelastic (LVE) properties of cortical bone by integrating the test results with a finite element model simulation of the nanoindentation testing. Model results using different numbers of spring-dashpot units in the generalized Maxwell model showed that four spring-dashpot units are sufficient to capture the LVE behavior, while solely LVE constitutive relation is limited to fully characterize the rat femur. The LVE constitutive properties were then used along with the rate-dependent NVCZ fracture within the representative volume element (RVE), which was two-way coupled to the global scale bone. A parametric study was conducted by varying the fracture properties of the NVCZ model. The model demonstrated the capability and features to represent inelastic deformation and nonlinear fracture that are linked between length scales. This further implies that the inelastic fracture model and the two-way coupled modeling can elucidate the complex multiscale deformation and fracture of bone, while model validation and further advancements with test results remain a follow-up study and are currently in progress.
骨骼是一种复杂的分层结构材料,其器官层面的反应受微结构层面的构成行为影响很大,微结构层面的构成行为可决定器官内部的非弹性非线性变形和断裂。在当前的研究中,首先寻求一种实验与计算相结合的方法来获得局部构成特性。随后,利用新型速率依赖性非线性粘弹性内聚区(NVCZ)模型的多尺度建模框架,探索骨微观结构的断裂行为及其对整体(器官级)响应的影响。为此,在大鼠股骨试样的横截面上进行了纳米压痕测试。通过将测试结果与纳米压痕测试的有限元模型模拟相结合,使用反向优化过程来确定皮质骨的各向同性线性粘弹性(LVE)特性。在广义麦克斯韦模型中使用不同数量的弹簧-底座单元的模型结果表明,四个弹簧-底座单元足以捕捉到 LVE 行为,而仅有 LVE 构成关系不足以全面描述大鼠股骨的特征。然后,在代表体积元素(RVE)中使用了 LVE 构成特性和随速率变化的 NVCZ 断裂,RVE 与全局尺度骨进行了双向耦合。通过改变 NVCZ 模型的断裂属性进行了参数研究。该模型展示了表现长度尺度间非弹性变形和非线性断裂的能力和特征。这进一步表明,非弹性断裂模型和双向耦合建模可以阐明骨骼复杂的多尺度变形和断裂,而模型验证和测试结果的进一步改进仍是一项后续研究,目前正在进行中。
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引用次数: 0
Phase-field damage simulation of subloop loading in TiNi SMA 钛镍 SMA 亚环加载的相场损伤模拟
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-05-01 DOI: 10.1177/10567895241245859
Vladimir Dunić, Ryosuke Matsui, Kohei Takeda, Miroslav Živković
In practical applications, TiNi shape memory alloys (SMAs) exhibit behavior that can pose a challenge with current constitutive models and their implementations in finite element method (FEM) software. TiNi SMA devices typically operate in the forward or reverse martensitic transformation regime, which is known as subloop loading. During such cyclic loading–unloading, the hysteresis stress–strain loop changes because of material damage, which can be considered the fatigue of TiNi SMAs. During both the loading and unloading processes, the stress plateau decreases. At the same time, the accumulated (residual) martensitic transformation strain increases. In this study, the experimental investigation results and observations of the aforementioned phenomena are presented. Next, the phase-field damage model is employed, along with a modified Lagoudas constitutive model, to simulate the change in stress–strain hysteresis. Furthermore, a fatigue function is used to simulate the accumulation of martensitic transformation strain. The experimental stress–strain response is compared with the simulation results, and good quantitative and qualitative agreement is obtained. The damage and martensitic volume fraction with respect to strain are discussed for full-loop and subloop loading. The observations and conclusions, as well as open questions, are presented. Possible directions for future research are provided.
在实际应用中,钛镍形状记忆合金(SMA)表现出的行为可能会对当前的构成模型及其在有限元法(FEM)软件中的实施带来挑战。钛镍形状记忆合金(SMA)设备通常在正向或反向马氏体转变状态下工作,这被称为亚循环加载。在这种循环加载-卸载过程中,滞后应力-应变环会因材料损坏而发生变化,这可视为钛镍 SMA 的疲劳。在加载和卸载过程中,应力平台都会下降。同时,累积(残余)马氏体转变应变增加。本研究介绍了上述现象的实验研究结果和观察结果。接着,采用相场损伤模型和改进的拉古达斯构成模型模拟应力-应变滞后的变化。此外,还使用疲劳函数来模拟马氏体转变应变的积累。实验应力-应变响应与模拟结果进行了比较,结果在定量和定性方面都非常吻合。讨论了全环和亚环加载时损伤和马氏体体积分数与应变的关系。提出了观察结果和结论,以及有待解决的问题。还提供了未来可能的研究方向。
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引用次数: 0
Investigation of pore structure evolution and damage characteristics of high temperature rocks subjected to liquid nitrogen cooling shock 受液氮冷却冲击的高温岩石孔隙结构演变及损伤特征研究
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-05-01 DOI: 10.1177/10567895241247324
Can Du, Jing Bi, Yu Zhao, Chaolin Wang, Wei Tang, Shuailong Lian
Liquid nitrogen (LN2) can be utilized in the development of enhanced geothermal systems, as well as for deep/ultra-deep hydrocarbon reservoir stimulation, fire suppression, and other high-temperature geological projects. It is a crucial issue in the utilization of LN2 to investigate the pore structure evolution, permeability, and damage characteristics of high-temperature rocks under the influence of LN2 cooling shock. These rocks were first slowly heated to 150∼600°C and held for 2 h, followed by LN2 or natural cooling. The evolution of pore volume in high-temperature rocks affected by liquid nitrogen cooling was quantified. T2 cutoff values were determined through centrifugal tests, while the contents of irreducible and mobile fluids were estimated. Based on the aforementioned analysis as well as changes in irreducible fluid saturation, pore throat, tortuosity, and permeability, this study examines the closure and development of pores along with permeability behavior. The findings suggest that, despite a more pronounced decrease in porosity at lower heating temperatures, LN2 cooling specimens exhibit superior pore connectivity and permeability compared to those cooled naturally. LN2 stimulation not only induces crack initiation and propagation but also results in further cooling induced densification based on heating densification. 225°C is considered to be the optimal temperature for cooling contraction induced densification in this study. At higher heating temperatures, the damage to rock cooled with LN2 is more severe than that of naturally cooled. This results in a greater increase in porosity, movable fluid content and proportion, and permeability of LN2 cooled specimens compared to naturally cooled specimens. The damage mechanism can be better understood by the constructed damage model that coordinates the pore increase/decrease and mutual pore transformation from the perspective of pore evolution.
液氮(LN2)可用于开发强化地热系统,以及深层/超深层油气藏激发、灭火和其他高温地质项目。研究高温岩石在 LN2 冷却冲击作用下的孔隙结构演变、渗透性和破坏特征是利用 LN2 的关键问题。首先将这些岩石缓慢加热至 150∼600°C 并保持 2 小时,然后进行 LN2 冷却或自然冷却。对受液氮冷却影响的高温岩石孔隙体积的演变进行了量化。通过离心试验确定了 T2 临界值,同时估算了不可还原流体和流动流体的含量。根据上述分析以及不可还原流体饱和度、孔喉、迂回度和渗透率的变化,本研究对孔隙的闭合和发育以及渗透率行为进行了研究。研究结果表明,尽管在较低的加热温度下孔隙率会有更明显的下降,但与自然冷却的试样相比,LN2 冷却试样表现出更优越的孔隙连通性和渗透性。LN2 刺激不仅能诱导裂纹的产生和扩展,还能在加热致密化的基础上进一步冷却致密化。本研究认为 225°C 是冷却收缩诱导致密化的最佳温度。在较高的加热温度下,用 LN2 冷却的岩石比自然冷却的岩石受到的破坏更严重。这导致与自然冷却试样相比,LN2 冷却试样的孔隙度、可移动流体含量和比例以及渗透率都有更大的增加。所构建的损伤模型从孔隙演化的角度协调了孔隙增减和孔隙相互转化,可以更好地理解损伤机理。
{"title":"Investigation of pore structure evolution and damage characteristics of high temperature rocks subjected to liquid nitrogen cooling shock","authors":"Can Du, Jing Bi, Yu Zhao, Chaolin Wang, Wei Tang, Shuailong Lian","doi":"10.1177/10567895241247324","DOIUrl":"https://doi.org/10.1177/10567895241247324","url":null,"abstract":"Liquid nitrogen (LN<jats:sub>2</jats:sub>) can be utilized in the development of enhanced geothermal systems, as well as for deep/ultra-deep hydrocarbon reservoir stimulation, fire suppression, and other high-temperature geological projects. It is a crucial issue in the utilization of LN<jats:sub>2</jats:sub> to investigate the pore structure evolution, permeability, and damage characteristics of high-temperature rocks under the influence of LN<jats:sub>2</jats:sub> cooling shock. These rocks were first slowly heated to 150∼600°C and held for 2 h, followed by LN<jats:sub>2</jats:sub> or natural cooling. The evolution of pore volume in high-temperature rocks affected by liquid nitrogen cooling was quantified. T<jats:sub>2</jats:sub> cutoff values were determined through centrifugal tests, while the contents of irreducible and mobile fluids were estimated. Based on the aforementioned analysis as well as changes in irreducible fluid saturation, pore throat, tortuosity, and permeability, this study examines the closure and development of pores along with permeability behavior. The findings suggest that, despite a more pronounced decrease in porosity at lower heating temperatures, LN<jats:sub>2</jats:sub> cooling specimens exhibit superior pore connectivity and permeability compared to those cooled naturally. LN<jats:sub>2</jats:sub> stimulation not only induces crack initiation and propagation but also results in further cooling induced densification based on heating densification. 225°C is considered to be the optimal temperature for cooling contraction induced densification in this study. At higher heating temperatures, the damage to rock cooled with LN<jats:sub>2</jats:sub> is more severe than that of naturally cooled. This results in a greater increase in porosity, movable fluid content and proportion, and permeability of LN<jats:sub>2</jats:sub> cooled specimens compared to naturally cooled specimens. The damage mechanism can be better understood by the constructed damage model that coordinates the pore increase/decrease and mutual pore transformation from the perspective of pore evolution.","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"64 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2024-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140819366","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Expansion displacement mechanics model of concrete under seawater corrosion 海水腐蚀下混凝土的膨胀位移力学模型
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-05-01 DOI: 10.1177/10567895241245877
Tingwei Chen, Jinhan Chen, Jiankang Chen, Yunfeng Lv
In this study, the variation in the expansion displacement of concrete samples with different water-cement ratios under five corrosion solutions (single sulfate salt and coupled sulfate-chloride salt) is explored. The expansion displacement evolution of these concrete samples under sulfate corrosion (single salt corrosion) and sulfate-chloride corrosion (double salt corrosion) is comprehensively examined. The results reveal that the continuous accumulation of corrosion damage eventually manifests in the form of expansion displacement. Based on the experimental results and the chemical reaction rate equation of the delayed ettringite formation and Friedel’s salt generation, an evolution model of expansion force is established. According to this model and the Weibull distribution law of damage, a expansion displacement mechanics model is proposed to predict the expansion displacement behavior of concrete under sulfate corrosion as well as combined sulfate-chloride corrosion.
本研究探讨了不同水灰比的混凝土试样在五种腐蚀溶液(单一硫酸盐盐和硫酸盐-氯化物耦合盐)下的膨胀位移变化。全面考察了这些混凝土试样在硫酸盐腐蚀(单盐腐蚀)和硫酸盐-氯化物腐蚀(双盐腐蚀)下的膨胀位移演变。结果表明,腐蚀损伤的不断累积最终以膨胀位移的形式表现出来。根据实验结果和延迟蚀变体形成与弗里德尔盐生成的化学反应速率方程,建立了膨胀力的演化模型。根据该模型和损伤的 Weibull 分布规律,提出了一种膨胀位移力学模型,用于预测混凝土在硫酸盐腐蚀和硫酸盐-氯化物组合腐蚀下的膨胀位移行为。
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引用次数: 0
A multiscale micromechanical progressive elastic-damage model for cementitious composites featuring superabsorbent polymer (SAP) 采用超吸收聚合物(SAP)的水泥基复合材料的多尺度微机械渐进弹性损伤模型
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-04-23 DOI: 10.1177/10567895241247996
Aiqing Xu, Xiaoyan Man, J Woody Ju
A multiscale micromechanics-based progressive damage model is developed to investigate the overall mechanical behavior and the interfacial microcrack evolutions of the cementitious composites featuring superabsorbent polymer (SAP) under uniaxial tension. Elastic properties, progressive damage process, and homogenization procedure of cementitious composites are systematically integrated in this model. The effective elastic moduli of the composites are determined based on a multiscale micromechanical framework. According to the small strain assumption, the total strain tensor and the elastic-damage compliance tensor are additively decomposed into elastic and damage-induced components. The damage-induced strains and compliances are then deduced from micromechanics. To characterize the progressive elastic-damage induced by microcracks, stages of microcrack propagation are identified from the interface contact stress and the matrix cleavage stress. The complex potentials and stress intensity factors for kinked interface cracks are derived from the distributed dislocations method. By implementing the homogenization process, the macroscopic mechanical behavior is obtained from the micro/mesoscale. The results indicate that the material parameters have clear mechanical significance. Different parameters, such as the SAP addition ratio, aggregate content, initial interfacial crack size, and initial interfacial crack location, are revealed to be influential in the overall mechanical behavior of the composites. The proposed model can be generalized to other particle-reinforced composites with different constituent properties, which can potentially contribute to the design and optimization of durable composites.
本研究建立了一个基于多尺度微观力学的渐进损伤模型,用于研究单轴拉伸条件下以超吸收聚合物(SAP)为特征的水泥基复合材料的整体力学行为和界面微裂纹演变。该模型系统地整合了水泥基复合材料的弹性特性、渐进损伤过程和均质化程序。复合材料的有效弹性模量是基于多尺度微观力学框架确定的。根据小应变假设,总应变张量和弹性-损伤顺应性张量被加法分解为弹性成分和损伤诱导成分。然后从微力学推导出损伤诱导应变和顺应性。为了描述微裂缝引起的渐进弹性损伤,可从界面接触应力和基体裂缝应力中确定微裂缝扩展的阶段。通过分布式位错法推导出了扭结界面裂纹的复势和应力强度因子。通过均质化处理,可以从微观/宏观尺度获得宏观力学行为。结果表明,材料参数具有明显的力学意义。不同的参数,如 SAP 添加比、骨料含量、初始界面裂纹尺寸和初始界面裂纹位置,都对复合材料的整体力学行为有影响。所提出的模型可以推广到其他具有不同成分特性的颗粒增强复合材料,从而为耐用复合材料的设计和优化做出潜在贡献。
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引用次数: 0
Defect effect on high strain rate compressive behaviors of 3D braided composites 缺陷对三维编织复合材料高应变速率压缩行为的影响
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-04-20 DOI: 10.1177/10567895241245754
Jinhui Guo, Yousong Xue, Bohong Gu, Baozhong Sun
Defect effects of carbon fiber composites under dynamic impact conditions are important to mechanical behavior design in the aerospace field. Here we report the defect effect on the impact compressive behavior of 3D braided composites at high strain rates from 550/s to 1240/s. The defect effect on damage behavior was observed by high-speed photography and digital image correlation (DIC) technology. A finite element analysis (FEA) model was developed to show the defect effect on stress distribution and thermo-mechanical behavior. The defect structure reduces the compressive strength of the composite and causes more brittle and catastrophic failure compared with the perfect composite. The defect effect on the compressive behaviors is more significant at higher strain rates. FEA results show that the defect structure causes local stress concentration, high adiabatic temperature rise, and high stress in the X-shaped shear band region, thereby accelerating composite failure.
碳纤维复合材料在动态冲击条件下的缺陷效应对航空航天领域的机械性能设计非常重要。在此,我们报告了缺陷对三维编织复合材料在 550/s 至 1240/s 高应变速率下冲击压缩行为的影响。通过高速摄影和数字图像相关(DIC)技术观察了缺陷对损伤行为的影响。建立的有限元分析(FEA)模型显示了缺陷对应力分布和热机械行为的影响。与完美的复合材料相比,缺陷结构降低了复合材料的抗压强度,导致更多的脆性和灾难性破坏。在应变速率较高时,缺陷对抗压行为的影响更为显著。有限元分析结果表明,缺陷结构会导致局部应力集中、绝热温升高以及 X 形剪切带区域的高应力,从而加速复合材料失效。
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引用次数: 0
A new unsymmetrical decomposition of the damage variable 损害变量的新非对称分解
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-04-19 DOI: 10.1177/10567895241245501
George Z Voyiadjis, Peter I Kattan
This work focuses on the dissection of the damage variable within solid materials. The underlying assumption is that damage within a solid primarily stems from the presence of various defects. The conventional approach to breaking down the damage variable into two parts – one attributed to the first defect type and the other to the second defect type – is both explored and expanded in a coherent mathematical manner. Within this context, a novel and asymmetric dissection of the damage variable is formulated. This fresh asymmetrical approach presents an alternative to the traditional symmetric dissection of the damage variable. Initially, the dissection considerations are carried out in a one-dimensional context using scalar values. However, this methodology is subsequently generalized employing tensors. In the end, an illustrative example is demonstrated.
这项工作的重点是剖析固体材料内部的损伤变量。其基本假设是,固体内部的损伤主要源于各种缺陷的存在。将损伤变量分解为两部分--一部分归因于第一种缺陷类型,另一部分归因于第二种缺陷类型--的传统方法以连贯的数学方式进行了探讨和扩展。在此背景下,提出了一种新颖的非对称损伤变量分解法。这种新颖的非对称方法是对传统对称损伤变量剖析的一种替代。起初,剖析考虑是在使用标量值的一维背景下进行的。然而,这种方法随后被推广使用张量。最后,还演示了一个示例。
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引用次数: 0
Experimental and damage model study of layered shale under different moisture contents 不同含水量下层状页岩的实验和破坏模型研究
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-04-12 DOI: 10.1177/10567895241245753
Qi Xian-yin, Geng Dian-dong, Xu Ming-zhe, Ke Ting
To investigate the mechanical properties and damage evolution law of layered shale under varying moisture contents, we conducted triaxial compression experiments on rock samples with different bedding angles and moisture levels. This study analyzed the variations in mechanical properties of layered shale under different conditions, and established a predicted model for elastic modulus based on different bedding angles and moisture content. Additionally, the damage constitutive model of layered shale was improved. The study revealed that shale’s mechanical properties display anisotropy, which is influenced by the bedding angles and moisture contents. The elastic modulus of the rock increases with the rise of bedding angle, exhibiting a ‘U’-shaped change. Conversely, the mechanical properties of rocks deteriorate, and their brittleness weakens with the increase in moisture content. When the confining pressure increased, the overall mechanical properties of shale were enhanced, and the influence of bedding on shale was weakened, but the deteriorating effect of water on rocks was hardly affected. Based on the above experiments, a predicted model of equivalent elastic modulus of shale considering the coupling effect of bedding and different moisture contents was proposed, which could effectively predict the elastic modulus of layered shale with different moisture content under different confining pressures. Furthermore, based on the predicted model of elastic modulus, an improved damage constitutive model of layered shale under triaxial loading was established, and the damage accumulation trend of layered shale was obtained, which showed an “S”-shaped change with strain. Under the coupling effect of bedding and different moisture contents, the damage of shale was advanced, but the accumulation rate of damage slowed down. With the increase of confining pressure, the influence of bedding and moisture content on the damage characteristics of shale decreased, and the damage curves under different conditions gradually tended to isotropy. The developed damage constitutive model for layered shale under different moisture contents provides theoretical support for the study of reservoir fracturing and wellbore stability.
为了研究不同含水率条件下层状页岩的力学性能和损伤演化规律,我们对不同层理角度和含水率的岩石样品进行了三轴压缩实验。该研究分析了不同条件下层状页岩力学性能的变化,并建立了基于不同层理角度和含水率的弹性模量预测模型。此外,还改进了层状页岩的损伤构成模型。研究发现,页岩的力学性能受层理角和含水量的影响而呈现各向异性。岩石的弹性模量随着层理角的增大而增大,呈 "U "型变化。相反,岩石的机械性能会随着含水量的增加而降低,脆性也会减弱。当约束压力增加时,页岩的整体力学性能增强,垫层对页岩的影响减弱,但水对岩石的劣化作用几乎不受影响。在上述实验的基础上,提出了考虑垫层和不同含水率耦合效应的页岩等效弹性模量预测模型,可有效预测不同含水率的层状页岩在不同约束压力下的弹性模量。此外,在弹性模量预测模型的基础上,建立了三轴加载下层状页岩的改进损伤组成模型,并得到了层状页岩的损伤累积趋势,该趋势随应变呈 "S "形变化。在垫层和不同含水率的耦合作用下,页岩的损伤提前,但损伤累积速度减慢。随着约束压力的增加,垫层和含水率对页岩破坏特征的影响减小,不同条件下的破坏曲线逐渐趋于各向同性。所建立的不同含水率下层状页岩的损伤构成模型为储层压裂和井筒稳定性研究提供了理论支持。
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International Journal of Damage Mechanics
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