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A novel three-point bending approach for evaluating the interlaminar tensile strength of ceramic matrix composites 一种评估陶瓷基复合材料层间拉伸强度的三点弯曲新方法
IF 7.1 2区 材料科学 Q1 MATERIALS SCIENCE, COMPOSITES Pub Date : 2026-05-01 Epub Date: 2026-02-06 DOI: 10.1016/j.compstruct.2026.120144
Wenbo Li , Jintao Zhu , Mingyang Chen , Feipeng Wang , Zeshuai Yuan , Junping Li , Liao-Liang Ke
The interlaminar tensile strength (ILTS) is one of the most crucial mechanical properties regulating the performance of ceramic matrix composites (CMC). In this study, we propose a novel method for measuring ILTS based on three-point bending tests, which is validated through finite element (FE) simulations. The method involves bonding stacked laminates to achieve a composite beam, effectively avoiding the difficulty arising from manufacturing thick laminates. By employing this innovative approach, the ILTS of CMC reinforced by carbon fiber is successfully measured. In addition, scanning electron microscopy (SEM) and acoustic emission (AE) systems are utilized to investigate the failure patterns and processes. The results show that the ILTS values obtained through the developed method are both accurate and reliable, offering a practical approach for ILTS measurement. Besides, the study reveals that the failure in CMC laminates is primarily driven by delamination, which is attributed to the debonding between the fibers and the matrix. The damage is mainly characterized by cracking of the ceramic matrix, while the carbon fibers remain largely undamaged.
层间拉伸强度是影响陶瓷基复合材料性能的重要力学性能之一。在这项研究中,我们提出了一种基于三点弯曲试验的测量ILTS的新方法,并通过有限元(FE)模拟进行了验证。该方法涉及将堆叠的层压板粘合以实现复合梁,有效地避免了制造厚层压板所带来的困难。采用这种创新的方法,成功地测量了碳纤维增强CMC的ILTS。此外,利用扫描电子显微镜(SEM)和声发射(AE)系统研究了失效模式和过程。结果表明,该方法得到的ILTS值准确可靠,为ILTS的测量提供了一种实用的方法。此外,研究表明,CMC层合板的破坏主要是由于纤维与基体之间的脱粘导致的分层。损伤主要表现为陶瓷基体开裂,而碳纤维基本没有损伤。
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引用次数: 0
Efficient analytical modeling of progressive damage and contact stiffening in composite laminate under repeated impacts 复合材料层合板在重复冲击下的渐进损伤和接触强化的有效分析建模
IF 7.1 2区 材料科学 Q1 MATERIALS SCIENCE, COMPOSITES Pub Date : 2026-05-01 Epub Date: 2026-02-06 DOI: 10.1016/j.compstruct.2026.120138
Vikram Manoj Kumar Neesu , Vibhuti Bhushan Pandey , Puneet Mahajan , Harpreet Singh
Composite laminate under repeated low-velocity impacts exhibits progressive stiffness degradation and contact stiffening phenomena due to localized hardening around the contact zone. Existing single impact analytical models cannot predict both effects simultaneously, necessitating expensive numerical simulations. To address this limitation, the present study introduces a novel analytical framework that integrates a Multiple Concentric Ring Theory (MCRT) with a phenomenological hardening function to model repeated impact behavior in fiber-reinforced polymer (FRP) laminates. The MCRT idealizes the impact zone as a series of concentric regions with progressively reduced stiffness, governed by an energy based damage law. Concurrently, the hardening function captures the transient local stiffening that arises from matrix yielding during early impacts, enabling accurate reproduction of the characteristic non-monotonic force response. The analytical model dynamically updates bending, shear, and membrane stiffness within a two degree of freedom spring-mass framework, providing a physically consistent and computationally efficient alternative to high-fidelity numerical simulations. Model predictions show excellent agreement with experimental data and finite element results in terms of peak contact force, displacement evolution, and damage propagation, establishing a robust foundation for life prediction and impact tolerance assessment of composite laminates under repeated low-velocity impact loading.
复合材料层合板在多次低速冲击下,由于接触区周围的局部硬化,表现出渐进式刚度退化和接触硬化现象。现有的单一冲击分析模型不能同时预测这两种影响,需要昂贵的数值模拟。为了解决这一限制,本研究引入了一种新的分析框架,该框架将多重同心圆理论(MCRT)与现象学硬化函数相结合,以模拟纤维增强聚合物(FRP)层合板的重复冲击行为。MCRT将冲击区理想化为一系列同心圆区域,其刚度逐渐降低,由基于能量的损伤规律控制。同时,硬化函数捕获了早期冲击过程中由基体屈服引起的瞬态局部硬化,从而能够准确再现特征非单调力响应。该分析模型动态更新了两自由度弹簧-质量框架内的弯曲、剪切和膜刚度,为高保真数值模拟提供了物理上一致且计算效率高的替代方案。在峰值接触力、位移演化和损伤扩展等方面,模型预测结果与实验数据和有限元结果吻合良好,为复合材料层合板在重复低速冲击载荷下的寿命预测和冲击容限评估奠定了坚实的基础。
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引用次数: 0
Rapid mechanical prediction of woven ceramic fabrics via a neural network surrogate model based on the parameterized unit cell 基于参数化单元胞的神经网络代理模型对陶瓷织物力学性能的快速预测
IF 7.1 2区 材料科学 Q1 MATERIALS SCIENCE, COMPOSITES Pub Date : 2026-04-15 Epub Date: 2026-01-28 DOI: 10.1016/j.compstruct.2026.120107
Zhou Jiang , Mingming Xu , Jian Sun , Jinsong Leng
Ceramic fiber fabrics are vital for high-temperature morphing skins due to their exceptional thermal stability and structural adaptability. However, their mechanical properties are strongly influenced by weave architecture, necessitating detailed and systematic characterization. Current challenges include the lack of robust predictive theoretical models and the inefficiencies of experimental methods. This study tackles these issues by developing a parametric modeling framework for 2D woven fabrics using three topological parameters, combined with an automated simulation system to evaluate tensile and shear properties through Python-driven numerical analysis. The framework demonstrates high predictive accuracy, validated by experimental data. Additionally, an artificial neural network (ANN) surrogate model employs the resulting property database to reveal correlations between weave architecture and mechanical properties. A novel integrated resistance factor is introduced to comprehensively assess mechanical performance, identifying plain weave architectures as optimal for combined tensile and shear resistance. This ANN-based surrogate model approach significantly improves efficiency in material design and performance prediction.
陶瓷纤维织物由于其优异的热稳定性和结构适应性,对高温变形皮肤至关重要。然而,它们的机械性能受到编织结构的强烈影响,需要详细和系统的表征。目前的挑战包括缺乏可靠的预测理论模型和实验方法的效率低下。本研究通过使用三个拓扑参数开发二维机织物的参数化建模框架来解决这些问题,并结合自动化仿真系统,通过python驱动的数值分析来评估拉伸和剪切性能。实验数据验证了该框架具有较高的预测精度。此外,人工神经网络(ANN)代理模型使用生成的性能数据库来揭示编织结构与机械性能之间的相关性。引入了一种新的综合阻力因子来全面评估机械性能,确定平纹编织结构是抗拉和抗剪组合的最佳结构。这种基于人工神经网络的替代模型方法显著提高了材料设计和性能预测的效率。
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引用次数: 0
Out-of-plane mechanical properties of modular mechanical metastructures with repeatable load capacity 具有可重复载荷能力的模块化力学元结构的面外力学性能
IF 7.1 2区 材料科学 Q1 MATERIALS SCIENCE, COMPOSITES Pub Date : 2026-04-15 Epub Date: 2026-01-29 DOI: 10.1016/j.compstruct.2026.120116
Hang Liu , Xiang Xu , Huijie Guo , Xin Wang , Guangding Wang , Qiansheng Tang , Zhe Liu , Yong Zhang , Zhen Li , Pengfei Wang
Lightweight mechanical metastructures are widely used for energy absorption. However, most existing designs are plastically irreversible after loading, which limits their reusability. While modular strategies enhance scalability and manufacturability, conventional modular metastructures often fail to combine efficient energy dissipation with recoverable deformation. To address these limitations, this study introduces modular mechanical metastructures (MMMs) that combine discrete self-locking architectures with the shape memory effect of polymers. This design ensures stable load transfer during compression and facilitates thermally activated shape recovery. Three MMM configurations with distinct internal topologies are designed and investigated through quasi-static compression experiments and validated finite element simulations. A global Sobol sensitivity analysis identifies a clear hierarchy of parameter control, where outer wall thickness dominates energy absorption capacity and load-bearing response, while interlocking angle primarily governs energy absorption efficiency, indicating significant parameter interactions. At the same relative density, the MMM achieves a specific energy absorption of 7.5 J/g, surpassing conventional honeycomb and Luban-lock-inspired structures by approximately 147% and 235%, respectively. Additionally, over 90% shape recovery is achieved within 50 s, enabling repeatable energy absorption. These findings establish a reconfigurable and recoverable modular design framework for lightweight, energy-absorbing structures.
轻质机械元结构被广泛应用于能量吸收。然而,大多数现有设计在加载后是塑性不可逆的,这限制了它们的可重用性。虽然模块化策略提高了可扩展性和可制造性,但传统的模块化元结构往往无法将有效的能量耗散与可恢复的变形结合起来。为了解决这些限制,本研究引入了模块化机械元结构(MMMs),将离散的自锁结构与聚合物的形状记忆效应相结合。这种设计确保在压缩过程中稳定的负载传递,并促进热激活形状恢复。通过准静态压缩实验和验证的有限元模拟,设计并研究了具有不同内部拓扑结构的三种MMM结构。全局Sobol敏感性分析确定了参数控制的清晰层次结构,其中外壁厚度主导能量吸收能力和承载响应,而联锁角主要控制能量吸收效率,表明重要的参数相互作用。在相同的相对密度下,MMM实现了7.5 J/g的比能吸收,分别比传统的蜂窝结构和鲁班锁结构高出约147%和235%。此外,在50秒内可实现90%以上的形状恢复,实现可重复的能量吸收。这些发现为轻量化、吸能结构建立了可重构和可回收的模块化设计框架。
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引用次数: 0
A phase-field model for thermal–mechanical–chemical coupling analysis of carbon/carbon composites 碳/碳复合材料热-力-化学耦合分析的相场模型
IF 7.1 2区 材料科学 Q1 MATERIALS SCIENCE, COMPOSITES Pub Date : 2026-04-15 Epub Date: 2026-01-21 DOI: 10.1016/j.compstruct.2026.120088
Xingyu Zhang, Meng Han
The failure of Carbon/Carbon (C/C) composites in high-temperature service environments invariably results from the synergistic interaction of oxidation and fracture. A phase-field model is developed for thermal–mechanical–chemical coupling in C/C composites, systematically considering thermochemical ablation and mechanical fracture along with their synergistic effects. The model integrates thermal, oxygen reaction–diffusion, and mechanical damage within a unified multiphysics framework, in which mechanical degradation is captured through a reaction–diffusion equation and phase–field–dependent damage constitutive laws. The model is validated through multiscale analyses, including stressed oxidation tests at the microscale and post-oxidation tensile failure simulations of the Representative Volume Element (RVE) at the mesoscale. The framework elucidates the synergistic mechanisms of oxidation and crack evolution in high-temperature environments and clarifies the influence of oxidation time, temperature, and diffusion–reaction regimes on the degradation of mechanical properties. It provides a unified and reliable multiscale tool for evaluating failure mechanisms and damage tolerance of C/C composites in oxidative environments.
碳/碳(C/C)复合材料在高温环境下的失效是氧化和断裂协同作用的结果。建立了C/C复合材料热-力学-化学耦合相场模型,系统地考虑了热化学烧蚀和力学断裂及其协同效应。该模型在统一的多物理场框架内集成了热、氧反应扩散和机械损伤,其中通过反应扩散方程和相场相关的损伤本构律捕获机械退化。该模型通过多尺度分析进行了验证,包括微尺度的应力氧化试验和中尺度的代表性体积元(RVE)氧化后拉伸破坏模拟。该框架阐明了高温环境下氧化和裂纹演化的协同机制,并阐明了氧化时间、温度和扩散反应机制对力学性能退化的影响。它为评价C/C复合材料在氧化环境下的失效机理和损伤容限提供了统一可靠的多尺度工具。
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引用次数: 0
Fiber composites reinforced with laser-constructed biomimetic structures: bonding performance maximization and mechanism elucidation 激光构建仿生结构增强纤维复合材料:键合性能最大化及其机理研究
IF 7.1 2区 材料科学 Q1 MATERIALS SCIENCE, COMPOSITES Pub Date : 2026-04-15 Epub Date: 2026-01-29 DOI: 10.1016/j.compstruct.2026.120115
Yuxin Jiao , Jing Li , Yaochen Shi , Qinghua Li
To address the problem of fiber and steel matrix composite shedding, this study took inspiration from the highly adhesive characteristics of tree frog toe pads. A steel matrix with adhesive properties was realized by laser-constructing surface-modified hexagonal structures that imitated tree frog toe pads to yield Kevlar fiber/steel and carbon fiber/steel bionic structural composites. The bionic structure of the tree frog-like toe pad was shown to have the most significant effect on the composite bonding performance. The composite shear strength of Kevlar and carbon fibers with the steel of the bionic structure mimicking a tree frog toe pad was increased by about 107.76% and 150.76%, respectively. Analysis revealed that the tree frog toe pad structure increased the effective contact area over the steel–fiber interface, while a capillary effect was generated by solid–liquid contact. The coupling of these effects resulted in an increase in the normal force between the contact surfaces and enhancement of the anti-shear performance.
为了解决纤维和钢基复合材料脱落的问题,本研究从树蛙趾垫的高粘接特性中获得灵感。通过激光构建表面改性六边形结构,实现了具有粘接性能的钢基体,制备了凯夫拉纤维/钢和碳纤维/钢仿生结构复合材料。结果表明,树蛙状趾垫的仿生结构对复合材料的粘结性能影响最为显著。在模拟树蛙趾垫仿生结构中,凯夫拉纤维与碳纤维的复合抗剪强度分别提高了约107.76%和150.76%。分析表明,树蛙趾垫结构增加了钢纤维界面的有效接触面积,固液接触产生了毛细效应。这些作用的耦合导致接触面间法向力的增加和抗剪性能的增强。
{"title":"Fiber composites reinforced with laser-constructed biomimetic structures: bonding performance maximization and mechanism elucidation","authors":"Yuxin Jiao ,&nbsp;Jing Li ,&nbsp;Yaochen Shi ,&nbsp;Qinghua Li","doi":"10.1016/j.compstruct.2026.120115","DOIUrl":"10.1016/j.compstruct.2026.120115","url":null,"abstract":"<div><div>To address the problem of fiber and steel matrix composite shedding, this study took inspiration from the highly adhesive characteristics of tree frog toe pads. A steel matrix with adhesive properties was realized by laser-constructing surface-modified hexagonal structures that imitated tree frog toe pads to yield Kevlar fiber/steel and carbon fiber/steel bionic structural composites. The bionic structure of the tree frog-like toe pad was shown to have the most significant effect on the composite bonding performance. The composite shear strength of Kevlar and carbon fibers with the steel of the bionic structure mimicking a tree frog toe pad was increased by about 107.76% and 150.76%, respectively. Analysis revealed that the tree frog toe pad structure increased the effective contact area over the steel–fiber interface, while a capillary effect was generated by solid–liquid contact. The coupling of these effects resulted in an increase in the normal force between the contact surfaces and enhancement of the anti-shear performance.</div></div>","PeriodicalId":281,"journal":{"name":"Composite Structures","volume":"382 ","pages":"Article 120115"},"PeriodicalIF":7.1,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146185294","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Novel 3D semi-analytical formulation via SBFEM for thermal stress and buckling analyses of laminated plates with 2D discretization 基于SBFEM的层合板二维离散热应力和屈曲分析新三维半解析公式
IF 7.1 2区 材料科学 Q1 MATERIALS SCIENCE, COMPOSITES Pub Date : 2026-04-15 Epub Date: 2026-01-10 DOI: 10.1016/j.compstruct.2026.120055
Wenbin Ye , Lei Gan , Jun Liu , Peiqing Wang , Chenxi Ji , Liang Chen , Haibo Wang , Xinwei Song
In this paper, a novel three-dimensional (3D) semi-analytical formulation for the thermal stress and buckling analyses of laminated plates subjected to complex thermal loading is proposed, utilizing the scaled boundary finite element method (SBFEM). Based on 3D thermoelasticity theory, precise physical modeling is conducted for individual layers of laminated plate structures. This approach eliminates the inherent kinematic assumptions of classical laminated plate theories, thereby ensuring the numerical results’ stability and computational accuracy, and effectively overcoming the limitations of equivalent single-layer theories in predicting transverse deformations and interlaminar stresses. Within the SBFEM framework, inhomogeneous constant-coefficient ordinary differential equations for the thermal stress and buckling analyses of laminated plates, as well as an innovative solution procedure based on the precise integration method (PIM), are established. The proposed model only requires two-dimensional discretization of the structural surfaces, reducing the total degrees of freedom (DOFs) of the model. The thickness direction of the structure is analytically solved using the PIM, which effectively guarantees the stability, accuracy, and efficiency of numerical computations. This model features simple formulations, straightforward derivation of the governing equations, and ease of programming implementation. Numerical results demonstrate its advantages, including a fast convergence rate, strong numerical robustness, high computational accuracy, and wide applicability, thereby providing a novel approach for the accurate solution of thermoelastic problems in laminated plate structures.
本文利用尺度边界有限元法(SBFEM),提出了复合材料板在复杂热载荷作用下的热应力和屈曲分析的三维半解析公式。基于三维热弹性理论,对层合板结构的各层进行了精确的物理建模。该方法消除了经典层合板理论固有的运动学假设,保证了数值结果的稳定性和计算精度,有效克服了等效单层理论在预测横向变形和层间应力方面的局限性。在SBFEM框架下,建立了用于层合板热应力和屈曲分析的非齐次常系数常微分方程,以及基于精确积分法(PIM)的创新求解程序。该模型只需要对结构表面进行二维离散化,降低了模型的总自由度。利用PIM对结构的厚度方向进行了解析求解,有效地保证了数值计算的稳定性、准确性和高效性。该模型的特点是公式简单,控制方程推导直接,易于编程实现。数值结果表明,该方法具有收敛速度快、数值鲁棒性强、计算精度高、适用性广等优点,为层合板结构热弹性问题的精确求解提供了一种新的方法。
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引用次数: 0
Bimaterial honeycomb structures additively manufactured with short carbon fiber composites: Design proposition, asymptotic homogenization and properties testing 短碳纤维复合材料增材制造双材料蜂窝结构:设计主张、渐近均质化及性能测试
IF 7.1 2区 材料科学 Q1 MATERIALS SCIENCE, COMPOSITES Pub Date : 2026-04-15 Epub Date: 2026-01-20 DOI: 10.1016/j.compstruct.2026.120071
Ariangelo Hauer Dias Filho , Benjamim de Melo Carvalho , Andrew Colin Gleadall , Rafael Thiago Luiz Ferreira
Additive manufacturing allows the production of multiphase structures with customizable mechanical properties. This study proposes a unit cell for bimaterial honeycombs, followed by experimental and numerical tests. The honeycombs were fabricated by FFF (fused filament fabrication) material extrusion using PET and PET-CF (PET with short carbon fibers), with tool paths generated directly in FullControl design software. Each beam of the unit cell contains both materials side-by-side (double-wall configuration). The composite content is adjustable by varying the thicknesses of the phases, allowing modulation of equivalent properties. Compression tests evaluated the mechanical behavior, while Asymptotic Homogenization (AH) was used to numerically estimate the equivalent properties. Response surfaces based on AH were developed to estimate variations in equivalent properties as a function of composite content. The experimental and numerical results showed strong agreement. The main contribution of this work is the proposal of honeycombs with tailorable mechanical properties, supported by numerical simulations and experiments. The proposed honeycombs have the potential to modulate mechanical properties, as demonstrated through the design of composite material phases: certain configurations exhibit increased structural performance while maintaining a similar use of expensive reinforcing material in terms of volume fraction. These findings highlight the potential for functionally tailored structures in lightweight engineering applications.
增材制造允许生产具有可定制机械性能的多相结构。本研究提出了一种双材料蜂窝单元,并进行了实验和数值测试。在FullControl设计软件中直接生成刀具轨迹,采用FFF(熔融长丝制造)材料挤压PET和PET- cf(带有短碳纤维的PET)制造蜂窝。单元格的每个梁包含并排的两种材料(双壁结构)。复合成分可通过改变相的厚度来调节,从而允许等效性质的调制。压缩试验评估了力学性能,而渐近均匀化(AH)用于数值估计等效性能。基于AH的响应面被开发来估计等效性质的变化作为复合材料含量的函数。实验结果与数值计算结果吻合较好。这项工作的主要贡献是提出了具有可定制力学性能的蜂窝,并得到了数值模拟和实验的支持。所提出的蜂窝具有调节机械性能的潜力,正如复合材料相的设计所证明的那样:某些配置表现出增加的结构性能,同时在体积分数方面保持类似使用昂贵的增强材料。这些发现突出了在轻量化工程应用中功能定制结构的潜力。
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引用次数: 0
Numerical framework for assessing the reusability of polymer laminates in marine environments under static loading 海洋环境下静载荷下聚合物层压板再用性评估的数值框架
IF 7.1 2区 材料科学 Q1 MATERIALS SCIENCE, COMPOSITES Pub Date : 2026-04-15 Epub Date: 2026-01-19 DOI: 10.1016/j.compstruct.2025.119987
H. Vidinha, M.A. Neto, R. Branco
This study outlines a numerical framework for assessing the reusability of glass fibre-reinforced polymer laminates exposed to marine environments. The proposed approach integrates Fick’s law to model moisture diffusion, Puck’s failure criteria to predict fibre-dominated and matrix-dominated failure modes, and the element weakening method to simulate progressive material degradation. Experimental validation was conducted using specimens previously subjected to fatigue loading. Seven groups of reused specimens were created: one without aqueous diffusion during reuse and six with varying levels of seawater-induced damage considering two exposure times (70 and 300 days) and three permeability conditions controlled by applying coatings to selected surfaces of the specimens. The proposed numerical framework provided good predictions of ultimate tensile strength and contributed to understanding the mechanical behaviour of the tested composite material, proving to be suitable for assessing the reusability of polymer composite laminates. While the ultimate tensile strength did not decrease significantly with additional seawater damage, the changes in Young’s modulus were pronounced, emphasising the need for careful consideration in extended-use applications. In this context, incorporating surface coatings can mitigate the degradation induced by seawater exposure and improve the overall mechanical performance and longevity.
本研究概述了一个数值框架,用于评估暴露在海洋环境中的玻璃纤维增强聚合物层压板的可重用性。该方法集成了用于模拟水分扩散的菲克定律,用于预测纤维主导和基质主导破坏模式的Puck破坏准则,以及用于模拟材料渐进降解的单元弱化法。实验验证是使用先前经受疲劳载荷的试样进行的。创建了七组重复使用的样品:一组在重复使用期间没有水扩散,六组考虑两次暴露时间(70天和300天)和三种渗透性条件(通过在样品的选定表面涂上涂层来控制),具有不同程度的海水诱导损伤。所提出的数值框架提供了很好的极限拉伸强度预测,有助于理解所测试复合材料的力学行为,证明适用于评估聚合物复合材料层压板的可重用性。虽然极限抗拉强度不会因额外的海水损伤而显著降低,但杨氏模量的变化是明显的,这强调了在扩展应用中需要仔细考虑的问题。在这种情况下,结合表面涂层可以减轻海水暴露引起的降解,提高整体机械性能和寿命。
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引用次数: 0
Multiscale modeling of carbon nanotube fibers. Interpretation of microscopic properties from tensile tests 碳纳米管纤维的多尺度建模。拉伸试验显微特性的解释
IF 7.1 2区 材料科学 Q1 MATERIALS SCIENCE, COMPOSITES Pub Date : 2026-04-15 Epub Date: 2026-01-28 DOI: 10.1016/j.compstruct.2026.120108
Salman Zandekarimi , Laura Galuppi , Gianni Royer-Carfagni
Although individual carbon nanotubes (CNTs) possess extraordinary mechanical properties, the macroscopic axial stiffness of assembled fibers, obtained through spinning, falls significantly short of theoretical expectations due to suboptimal load transfer between CNTs. We develop a first-principles multiscale analytical model that explicitly accounts for interfacial shear compliance to predict the effective axial stiffness. Assuming the fiber is a 1D array of aligned CNTs merged in a shear-compliant matrix, we variationally derive closed-form solutions for the effective Young’s modulus. A key contribution is the identification of an internal length scale — determined by CNT geometry and stiffness, and interfacial properties — which controls stress transfer efficiency. We establish asymptotic bounds through limiting-case analysis and validate its closed-form expressions against both simulated and experimental data for various fiber architectures. The model allows to interpret effective fiber properties from full-field micromechanical simulations for systems with well-characterized inputs. When applied to experimental data, the model enables back-calculation of interfacial shear stiffness for aligned CNT fibers. It correctly captures the asymptotic approach to the rule-of-mixtures upper bound for long CNTs and the steep reduction in stiffness for short CNTs. This quantitative agreement confirms the model utility in extracting interfacial properties from macroscopic tests and enables reliable performance prediction and inverse design.
尽管单个碳纳米管(CNTs)具有非凡的力学性能,但由于碳纳米管之间的负载传递不理想,通过纺丝获得的组装纤维的宏观轴向刚度明显低于理论预期。我们开发了一个第一性原理多尺度分析模型,明确地说明了界面剪切顺应性,以预测有效轴向刚度。假设光纤是一个一维排列的碳纳米管阵列,合并在一个剪切顺应矩阵中,我们变分地推导出有效杨氏模量的封闭解。一个关键的贡献是确定了内部长度尺度-由碳纳米管的几何形状和刚度以及界面特性决定-控制应力传递效率。我们通过极限情况分析建立了渐近边界,并根据各种光纤结构的模拟和实验数据验证了其封闭形式表达式。该模型允许从具有良好特征输入的系统的全场微力学模拟中解释有效的纤维特性。当应用于实验数据时,该模型可以反向计算排列碳纳米管纤维的界面剪切刚度。它正确地捕获了长碳纳米管的混合规则上界的渐近逼近和短碳纳米管的刚度急剧降低。这种定量一致性证实了该模型在从宏观试验中提取界面性质方面的实用性,并实现了可靠的性能预测和反设计。
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引用次数: 0
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