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Finite element modeling of viscoelastic creep behavior and transverse cracking in fiber-reinforced composite materials 纤维增强复合材料粘弹性蠕变行为及横向开裂的有限元模拟
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-12-30 DOI: 10.1177/10567895241302543
Yamato Hoshikawa, Kazuki Ryuzono, Sota Onodera, Yoshiaki Kawagoe, Tomonaga Okabe
Fiber-reinforced composites are essential in the aerospace industry, highlighting the need for an in-depth understanding of their durability. This study introduces a novel approach that integrates viscoelasticity and damage evolution based on continuum damage mechanics, employing finite element analysis. The method utilizes an anisotropic viscoelastic constitutive law to examine creep behavior under constant stress, decomposing stresses into equilibrium and non-equilibrium components. Moreover, it integrates a transverse crack damage variable associated with crack density. After solving stiffness equations, a detailed analysis of transverse crack propagation is conducted. This technique was applied to creep tests on carbon fiber-reinforced plastics and 3D woven ceramic matrix composites, resulting in strain and crack density profiles. The numerical simulations successfully reproduced experimental outcomes. The developed method offers a comprehensive tool for analyzing transverse crack propagation under viscoelastic creep conditions through finite element analysis, significantly enhancing design considerations by incorporating aspects of long-term durability.
纤维增强复合材料在航空航天工业中至关重要,因此需要深入了解其耐久性。本研究引入了一种基于连续损伤力学的粘弹性与损伤演化相结合的新方法,采用有限元分析。该方法利用各向异性粘弹性本构律来研究恒应力下的蠕变行为,将应力分解为平衡和非平衡分量。此外,它还集成了与裂纹密度相关的横向裂纹损伤变量。在求解刚度方程后,对横向裂纹扩展进行了详细的分析。将该技术应用于碳纤维增强塑料和三维编织陶瓷基复合材料的蠕变测试,得到应变和裂纹密度分布图。数值模拟成功地再现了实验结果。该方法通过有限元分析为粘弹性蠕变条件下的横向裂纹扩展提供了一个全面的工具,通过结合长期耐久性方面,显著增强了设计考虑。
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引用次数: 0
Micromechanical analysis of spherulitic polymers in multiaxial and non-proportional fatigue crack nucleation 球晶聚合物在多轴非比例疲劳裂纹形核中的微观力学分析
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-12-28 DOI: 10.1177/10567895241302873
Chenxu Jiang, Jia Zhou, Jiaxin Cui, Changqing Miao
This study focused on understanding the fatigue response of anisotropic spherulitic polymers by employing a multiscale microscopic modeling approach. The crystal plasticity model together with the Arruda-Boyce model were used to describe the mechanical response of crystalline phase and amorphous. The fatigue behaviors and crack initiation were captured by Fatemi-Socie multiaxial criterion and continuous damage theory under multiaxial and non-proportional loading conditions. The sheaf-like structure of spherulitic polymers was considered to shed light on the anisotropic nature of fatigue failure. The results highlight the role of features of sheaf structure, e.g., initiation orientation, on the fatigue performance of spherulitic polymers, which have not been reported. The localized degradation of mechanical properties and the accumulation of fatigue damage were systematically discussed with various loading patterns. This study provided an in-depth understanding of potential fatigue mechanisms, offering robust support for fatigue resistance design in engineering applications.
本研究的重点是通过多尺度微观建模方法来理解各向异性球型聚合物的疲劳响应。采用晶体塑性模型和Arruda-Boyce模型来描述结晶相和非晶相的力学响应。采用fatemi - social多轴准则和连续损伤理论,捕捉了多轴和非比例加载条件下的疲劳行为和裂纹萌生过程。球状聚合物的束状结构被认为揭示了疲劳破坏的各向异性。结果强调了轴系结构的特征,如起始取向,对球粒聚合物的疲劳性能的作用,这是尚未报道的。系统地讨论了不同加载模式下的局部力学性能退化和疲劳损伤积累。该研究提供了对潜在疲劳机制的深入了解,为工程应用中的抗疲劳设计提供了强有力的支持。
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引用次数: 0
Three-phase damage model based on composite mechanics for post-peak analysis of recycled aggregate concrete 基于复合力学的再生骨料混凝土峰后分析三相损伤模型
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-12-20 DOI: 10.1177/10567895241303221
Worathep Sae-Long, Nattapong Damrongwiriyanupap, Suchart Limkatanyu, Yunping Xi, Tanakorn Phoo-ngernkham, Piti Sukontasukkul, Suraparb Keawsawasvong
This paper presents a novel three-phase damage model for the prediction of the post-peak responses of composite materials, such as recycled aggregate concrete (RAC). The proposed damage model is based on composite damage mechanics and is composed of three phases: cement paste, interface transition zone (ITZ), and aggregate. All phases are assumed to be linearly elastic and isotropic materials. The aggregate is supposed to be the undamaged material, while the cement paste and ITZ are considered the damaged materials. Three different composite damage models, namely Voigt (parallel), Reuss (serial), and the proposed generalized self-consistent (spherical), represent the damage growth in the composite materials. The Voigt parallel model is employed to address the upper bound of post-peak stiffness and stress, while the Reuss serial model represents the lower bound. To investigate the softening phenomenon after the post-peak state, both linear and exponential functions are used to describe the stress-strain curve in this state. Two numerical simulations are provided to examine the stress degradation in the softening state. Both simulations reveal that the post-peak stress degrades with increasing damage parameters and ITZ thickness. Therefore, both damage and ITZ’s thickness are significant factors for analyzing the post-peak responses of RAC.
本文提出了一种新的三相损伤模型,用于预测复合材料(如再生骨料混凝土)的峰后响应。提出的损伤模型基于复合损伤力学,由水泥浆体、界面过渡区和骨料三个阶段组成。所有相均假定为线弹性和各向同性材料。骨料为未损坏材料,水泥浆体和ITZ为损坏材料。Voigt(平行)、Reuss(连续)和本文提出的广义自一致(球面)三种不同的复合材料损伤模型代表了复合材料的损伤增长。采用Voigt并行模型求解峰后刚度和应力的上界,采用Reuss串行模型求解峰后刚度和应力的下界。为了研究峰后状态后的软化现象,采用线性函数和指数函数来描述峰后状态下的应力-应变曲线。提供了两个数值模拟来研究软化状态下的应力退化。两种模拟结果均表明,峰值后应力随损伤参数和ITZ厚度的增加而降低。因此,损伤和ITZ厚度都是分析RAC峰后响应的重要因素。
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引用次数: 0
Influence of water saturation on mechanical characteristics and fracture evolution of coal rock assemblage with rough interfaces 含水饱和度对界面粗糙煤岩组合力学特征及裂隙演化的影响
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-12-09 DOI: 10.1177/10567895241303157
Zhibiao Guo, Jingwei Gao, Jinglin You, Dongshan Yang
To comprehensively investigate the influence of water content on the mechanical and crack propagation characteristics of coal rock assemblage (CRA) with a rough interface, uniaxial compression tests were conducted on specimens with varying water content. Nuclear magnetic resonance (NMR) and acoustic emission (AE) techniques were employed to monitor the water content and AE signals throughout the experiment. The physical and mechanical properties, as well as the extent of crack development and acoustic emission (AE) parameters, were comprehensively investigated under conditions of water erosion. The results demonstrate that a rough interface contributes to an enhancement in the compressive strength of the composite material. Moreover, the moisture content exerts a significant influence on various aspects of the composite specimen, including its compressive strength, time b value, crack development, and crack propagation. With the increase in water content, the initial single slope shear failure of the composite specimen gradually transitions into a multi-section shear failure mechanism. Under the influence of water-rock interaction, sandstone within the formation undergoes a metamorphosis from a densely cemented structure to an irregular honeycomb-like configuration. This transformative process engenders novel porosity and fractures, ultimately compromising the rock’s mechanical strength. The analysis focuses on the relationship between the AE parameter b and uniaxial stress and water content, with emphasis on its relevance to damage theory. A damage model based on water immersion rate was established to elucidate the correlation between damage variables and water content. This was achieved by considering the characteristics of water-rock coupling AE and constructing a structural model of the water absorption process in different pore throats, thereby providing valuable insights for stability design and evaluation of roadway rock masses.
为全面研究含水率对粗糙界面煤岩组合(CRA)力学及裂纹扩展特性的影响,对不同含水率的试件进行了单轴压缩试验。在整个实验过程中,采用核磁共振(NMR)和声发射(AE)技术监测水含量和声发射信号。在水侵蚀条件下,对材料的物理力学性能、裂纹发育程度和声发射参数进行了全面研究。结果表明,粗糙的界面有助于提高复合材料的抗压强度。含水率对复合材料试样的抗压强度、时间b值、裂纹发展和裂纹扩展等各方面均有显著影响。随着含水率的增加,复合试件由初始的单坡剪切破坏逐渐过渡到多段剪切破坏机制。在水岩相互作用的影响下,地层内砂岩由致密胶结结构蜕变为不规则的蜂窝状结构。这一转变过程产生了新的孔隙度和裂缝,最终损害了岩石的机械强度。重点分析声发射参数b与单轴应力和含水率的关系,重点分析其与损伤理论的相关性。为了阐明损伤变量与含水率的关系,建立了基于浸水速率的损伤模型。通过考虑水岩耦合声发射特征,构建不同孔喉吸水过程的结构模型,为巷道岩体稳定性设计与评价提供了有价值的见解。
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引用次数: 0
Damage behavior of functionally graded kevlar/carbon epoxy nanocomposites reinforced with polyamide 6.6 nanofiber and MWCNTs subjected to low-velocity impact 聚酰胺6.6纳米纤维和MWCNTs增强功能梯度凯夫拉/碳环氧纳米复合材料在低速冲击下的损伤行为
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-12-09 DOI: 10.1177/10567895241305324
Alper Gunoz, Memduh Kara
The use of carbon and kevlar fiber-reinforced composite materials continues to grow in high-tech applications such as aerospace engineering. One of the most desired properties in composite structures is a strong interfacial bond between the matrix and the fiber. Nano-material reinforcement is one of the most preferred methods for strengthening the fiber-matrix interfacial bond. In the present research, polyamide 6.6 (PA 6.6) nanofiber and multi-walled carbon nanotubes (MWCNTs) reinforced kevlar fabric (KF), carbon fabric (CF) and epoxy matrix nanocomposite plates were produced by functional grading of these two fabrics. PA 6.6 nanofibers, obtained by electrospinning, were placed between the layers, and 12-layer nanocomposite plates were fabricated using a vacuum-assisted hand lay-up method. In producing MWCNTs reinforced nanocomposite plates, 0.3 wt.% of MWCNTs were added into the epoxy matrix. A comprehensive set of 16 distinct composite plates was manufactured, encompassing unreinforced plates, plates reinforced with MWCNTs, plates reinforced with PA 6.6, and plates reinforced with a combination of PA 6.6 and MWCNTs (PA 6.6-MWCNTs). The impact strengths of the produced composite plates were investigated at energy levels of 20, 40 and 60 J. The effects of reinforcing the composite structure with MWCNTs, PA 6.6, and PA 6.6-MWCNTs, as well as functionally grading KF/CF on impact strength, were investigated in detail. The damages that occurred in the material as a result of the low-velocity impact tests were interpreted by examining the high-resolution camera and optical microscope images. Thus, the nanofiber and nanoparticle reinforcement to composite structure and hybridization effect were evaluated together. With the reinforcement of PA 6.6, MWCNTs and PA 6.6-MWCNTs, the impact strength of the nanocomposite samples increased significantly compared to the unreinforced samples. Moreover, the amount of damage caused by the low-velocity impact test in reinforced samples was significantly reduced.
碳和凯夫拉纤维增强复合材料在航空航天工程等高科技应用中的应用继续增长。复合材料结构中最理想的特性之一是在基体和纤维之间有很强的界面结合。纳米材料增强是增强纤维-基体界面结合的首选方法之一。本研究通过对聚酰胺6.6 (pa6.6)纳米纤维和多壁碳纳米管(MWCNTs)增强凯夫拉织物(KF)、碳织物(CF)和环氧基纳米复合材料板的功能分级,制备了聚酰胺6.6 (pa6.6)纳米纤维和多壁碳纳米管增强凯夫拉织物(KF)。将静电纺丝获得的pa6.6纳米纤维置于层与层之间,采用真空辅助手铺法制备了12层纳米复合材料板。在制备MWCNTs增强纳米复合材料板时,在环氧基体中加入0.3 wt.%的MWCNTs。制作了一套完整的16种不同的复合材料板,包括未增强板、MWCNTs增强板、pa6.6增强板和pa6.6和MWCNTs组合增强板(pa6.6 -MWCNTs)。研究了制备的复合材料在20、40和60 j能级下的冲击强度,并详细研究了MWCNTs、pa6.6和pa6.6 -MWCNTs对复合材料结构的增强作用,以及KF/CF的功能分级对冲击强度的影响。通过检查高分辨率相机和光学显微镜图像,解释了由于低速冲击试验而在材料中发生的损伤。因此,纳米纤维和纳米颗粒对复合材料结构的增强作用和杂化效应被共同评价。添加PA 6.6、MWCNTs和PA 6.6-MWCNTs后,纳米复合材料的冲击强度明显高于未增强的样品。此外,低速冲击试验对增强试样造成的损伤量也显著降低。
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引用次数: 0
Statistical damage model with strain softening for lime-stabilized rammed earth after elevated temperature 石灰稳定夯土高温后应变软化的统计损伤模型
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-12-09 DOI: 10.1177/10567895241305596
Yi Luo, Chao Ye, Pengpeng Ni, Zhixing Zeng, Yixian Liu
Many historical earthen buildings are damaged due to fire exposure in the past. It is important to understand the strength degradation of rammed earth after elevated temperature for guiding the strategy of building protection or rehabilitation. A total of 24 unconfined compression tests are conducted on lime-stabilized rammed earth specimens after elevated temperature up to 700°C. A quasi-linear reduction in strength and stiffness is found for rammed earth with the increase of temperature. At high temperature, the ductility of rammed earth is enhanced, e.g., strain at peak strength of 2.5% and 1.5% at 700°C and 20°C, respectively. Microstructural analyses demonstrate that with the increase of temperature, the specimen becomes more porous with reduced calcium carbonate precipitation, explaining the strength reduction. A new thermal damage model is proposed to describe the behavior of rammed earth after elevated temperature, in which the closure of pores is captured to show unrecoverable deformation, and the skeleton part is simulated using a thermal damage variable in a statistical manner to present the damage evolution (strain softening). By comparing with the measured stress-strain curves, one can confirm that the proposed method can provide effective prediction for the response of rammed earth after elevated temperature.
许多历史悠久的土楼由于过去的火灾而遭到破坏。了解高温后夯土的强度退化情况,对指导建筑保护或修复策略具有重要意义。对石灰稳定夯土试件进行了温度高达700℃的无侧限压缩试验,共进行了24次。夯土的强度和刚度随温度的升高呈准线性降低。高温下,夯土的延性得到增强,在700℃和20℃时,峰值应变强度分别达到2.5%和1.5%。显微组织分析表明,随着温度的升高,试样变得更加多孔,碳酸钙的析出减少,这解释了强度的降低。提出了一种新的热损伤模型来描述夯土在高温下的行为,该模型通过捕捉孔隙的闭合来表示不可恢复的变形,并使用热损伤变量对骨架部分进行了统计模拟,以表示损伤演化(应变软化)。通过与实测应力-应变曲线的对比,证实了该方法可以有效地预测夯土在高温作用下的响应。
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引用次数: 0
Investigation into the time-dependent mechanical behavior of pre-stressed anchor bolts and fractured rock specimens under synchronized tensile loads 同步拉伸荷载作用下预应力锚杆与裂隙岩样力学特性随时间变化的研究
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-12-04 DOI: 10.1177/10567895241303164
Wendong Yang, Chuntian Liu, Yiwe Li, Bingqi Wang, Xiang Zhang
Pre-stressed anchor bolts serve as an effective means to reinforce fractured rock masses. The long-term efficacy of their anchoring function significantly impacts the safety throughout the entire lifecycle of rock engineering projects. Over time, fractured rock masses undergo creep deformation, which interacts synergistically with the time-dependent changes in the pre-stress of anchor bolts. In this work, we conduct uniaxial tensile tests and tensile creep tests on fractured rock specimens anchored by pre-stressed bolts, analyzing the coordinated deformation between the pre-stressed anchor bolts and the fractured specimens. Firstly, conventional uniaxial tensile tests were conducted on the pre-stressed anchorage specimen. The study found that the tensile strength of the anchored specimens was significantly higher than that of the unanchored specimens. Additionally, the ability of the specimens to withstand tensile stresses and deformation improved as pre-stress increased. Secondly, uniaxial tensile creep tests were conducted on the prestressed anchored specimens. The results indicate that, as the stress level increases, the creep strain continues to increase. The application of prestress can effectively limit the tensile deformation of the specimen and delay its damage time. The greater the pre-stress, the smaller the instantaneous strain and creep strain rate during the graded loading test. Finally, based on the synergistic deformation of pre-stressed anchor bolts and the creeping rock mass, we establish a constitutive model reflecting the creep properties of fractured rock mass and derive a theoretical viscoelastic creep formula for anchored rock mass under uniaxial tension. Comparing the creep model with the test results shows that this model is highly applicable and accurate in verifying the tensile creep deformation of prestressed anchorage specimens.
预应力锚杆是加固裂隙岩体的有效手段。其锚固功能的长期有效性直接关系到岩石工程全生命周期的安全。随着时间的推移,裂隙岩体发生蠕变变形,与锚杆预应力随时间的变化协同作用。本研究对预应力锚杆锚固的裂隙岩样进行了单轴拉伸试验和拉伸蠕变试验,分析了预应力锚杆与裂隙岩样的协调变形。首先,对预应力锚固试件进行常规单轴拉伸试验。研究发现,锚固试件的抗拉强度明显高于未锚固试件。此外,随着预应力的增加,试件承受拉伸应力和变形的能力也有所提高。其次,对预应力锚固试件进行单轴拉伸蠕变试验。结果表明,随着应力水平的增加,蠕变应变继续增大。施加预应力可以有效地限制试件的拉伸变形,延缓试件的损伤时间。预应力越大,分级加载试验时瞬时应变和蠕变应变率越小。最后,基于预应力锚杆与蠕变岩体的协同变形,建立了反映裂隙岩体蠕变特性的本构模型,推导了锚固岩体在单轴张拉作用下的粘弹性蠕变理论公式。将蠕变模型与试验结果进行比较,表明该模型对验证预应力锚固试件的拉伸蠕变具有较高的适用性和准确性。
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引用次数: 0
Formulation and verification of an anisotropic damage plasticity constitutive model for plain concrete 素混凝土各向异性损伤塑性构造模型的制定与验证
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-11-23 DOI: 10.1177/10567895241292761
Ali Akbar Jahanitabar, Vahid Lotfi
This paper presents a new constitutive model based on the combination of plasticity and anisotropic damage mechanics to predict the nonlinear response of plain concrete. The aim is to overcome the deficiencies of the previous anisotropic damage-plasticity models in simulating concrete failure under multiaxial loadings. To effectively combine plasticity and damage, a decoupled algorithm and consequently a strain equivalence hypothesis are employed. A stress-based yield criterion and a non-associative flow rule are used in the plasticity formulation. The stress tensor is decomposed into positive and negative parts to consider the unilateral effect of concrete damage. Consequently, two sets of damage criteria and two anisotropic damage tensors are defined, which leads to automatically accounting for the stiffness recovery in transition from tensile to compressive stress. The viscous model of Duvaut–Lions is employed to improve mesh dependency. Moreover, the formulation is regularized to capture large crack opening and closing when the material has experienced large amounts of strain. The numerical implementation of the proposed model is described in detail. A special in-house finite element program incorporating the proposed approach is developed. The efficiency of the model is verified by comparing numerical results and experimental data for different benchmark problems such as monotonic and cyclic uniaxial tests, monotonic biaxial test, and mixed-mode multidimensional structural tests.
本文提出了一种基于塑性和各向异性损伤力学相结合的新构造模型,用于预测素混凝土的非线性响应。其目的是克服以往各向异性损伤-塑性模型在模拟多轴荷载下混凝土破坏时存在的不足。为了有效地将塑性和损伤结合起来,采用了解耦算法和应变等效假说。在塑性计算中使用了基于应力的屈服准则和非关联流动规则。应力张量被分解为正负两部分,以考虑混凝土损伤的单边效应。因此,定义了两套损伤准则和两个各向异性损伤张量,从而自动考虑了从拉应力向压应力过渡时的刚度恢复。采用 Duvaut-Lions 的粘性模型来改善网格依赖性。此外,还对公式进行了正则化处理,以捕捉材料经历大量应变时的大裂缝开合情况。本文详细介绍了所提模型的数值实现。我们开发了一种特殊的内部有限元程序,其中包含了所提出的方法。通过比较不同基准问题的数值结果和实验数据,如单调和循环单轴测试、单调双轴测试和混合模式多维结构测试,验证了该模型的效率。
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引用次数: 0
Multi-scale study on the fatigue mechanical properties and energy laws of thermal-damage granite under fatigue loading 疲劳加载下热损伤花岗岩的疲劳力学性能和能量规律的多尺度研究
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-11-22 DOI: 10.1177/10567895241302520
Zhanming Shi, Jiangteng Li, PG Ranjith, Mengxiang Wang, Hang Lin, Dongya Han, Kaihui Li
To reveal the mechanical properties and energy laws of high-temperature rock mass engineering under fatigue disturbance, this paper conducted a multi-scale study on thermally damaged granite. First, the macroscopic mechanical properties of the samples were studied. Secondly, the law of energy evolution was summarized based on thermodynamic theory. Then, a rockburst index was introduced, and NMR and SEM technologies were used to conduct a multi-scale discussion on the mechanism of influence on temperature. Finally, an improved nonlinear continuous damage model (INCDM) was established, and a hardening index and damage growth rate of low-cycle fatigue were defined. The result shows that temperature first strengthens and then weakens the fatigue mechanical properties of the sample, with a threshold temperature of 225°C. Temperatures below the threshold cause uneven expansion of mineral particles to squeeze natural pores, reduce the porosity of the sample, and thus increase the fatigue life and strength of the sample. Temperatures above the threshold cause dehydration and phase change of the minerals such as quartz, feldspar, and mica, forming transgranular/intergranular cracks, parallel cleavage and stratification, thus reducing the fatigue strength of the sample. In addition, the total energy, elastic energy and dissipated energy density of the sample all show a step-like increasing trend with the normalized cycle index. Energy storage satisfies a linear law. Affected by accelerated energy release, energy dissipation changes from linear to nonlinear law. As the temperature increases, the rockburst tendency first increases and then decreases. The fatigue failure changes from sudden instability to progressive instability mode. The fatigue-thermal damage of the sample satisfies a power law, and increases as a compound power function with the normalized cycle index.
为了揭示疲劳扰动下高温岩体工程的力学特性和能量规律,本文对热损伤花岗岩进行了多尺度研究。首先,研究了样品的宏观力学性能。其次,根据热力学理论总结了能量演化规律。然后,引入了岩爆指数,并利用核磁共振和扫描电镜技术对温度的影响机制进行了多尺度讨论。最后,建立了改进的非线性连续损伤模型(INCDM),并定义了低循环疲劳的硬化指数和损伤增长率。结果表明,温度先增强后削弱样品的疲劳机械性能,阈值温度为 225°C。低于临界温度会导致矿物颗粒不均匀膨胀,挤压天然孔隙,降低样品的孔隙率,从而提高样品的疲劳寿命和强度。温度高于临界值会导致石英、长石和云母等矿物脱水和相变,形成晶间裂缝、平行劈裂和分层,从而降低样品的疲劳强度。此外,试样的总能量、弹性能量和耗散能量密度均随归一化循环指数呈阶梯状上升趋势。能量存储满足线性规律。受加速能量释放的影响,能量耗散从线性规律变为非线性规律。随着温度的升高,岩爆倾向先增大后减小。疲劳破坏由突然失稳转变为渐进失稳模式。试样的疲劳-热损伤符合幂律,并随归一化循环指数的增加而呈复合幂函数增加。
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引用次数: 0
On effective moduli of defective beam lattices via the lattice green’s functions 通过晶格绿色函数论缺陷梁晶格的有效模量
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-11-22 DOI: 10.1177/10567895241292746
Yuhao Gong, Jinxing Liu, Naigang Liang
A method is proposed to analyze the effective moduli of periodically defective beam lattices by using the Lattice Green’s Functions (LGF). The LGF of beam lattices is built to calculate the displacement caused by external nodal forces. We describe the stress redistribution due to defects by applying extra nodal forces. Then, analyzing a defective unit cell is equivalently transformed to that on its perfect counterpart by representing the influence of defects by an equivalent force field based on the superposition principle. Based on the obtained displacement field of the defective unit cell, the elastic moduli of defective lattices can be calibrated based on the equivalence of strain energy, which indicates that the strain energy of the structural energetic expression is equal to its continuum counterpart. By comparing it with finite element simulations, the prediction ability of the proposed method has been demonstrated. Systematic parametric analyses are then carried out to illustrate the effects of element types, defect types, the defect number density, and the slenderness ratio on the effective moduli of defective lattices.
本文提出了一种利用网格格林函数(LGF)分析周期性缺陷梁网格有效模量的方法。建立梁晶格的 LGF 是为了计算外部节点力引起的位移。我们通过施加额外的节点力来描述缺陷导致的应力重分布。然后,通过基于叠加原理的等效力场来表示缺陷的影响,将分析缺陷单元晶格等效地转换为分析完美单元晶格。根据所得到的缺陷单元格位移场,缺陷晶格的弹性模量可根据应变能等效性进行校准,这表明结构能表达式的应变能等于其连续对应应变能。通过与有限元模拟的比较,证明了所提出方法的预测能力。随后进行了系统参数分析,说明了元素类型、缺陷类型、缺陷数量密度和细长比对缺陷晶格有效模量的影响。
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引用次数: 0
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International Journal of Damage Mechanics
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