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Insight of thermal transport in Maxwell fluid flow on a porous contracting flat surface inside a porous material with non-uniform heat source/sink: Multiple solutions and stability treatment 具有非均匀热源/热源的多孔材料内多孔收缩平面上麦克斯韦流体流动的热输运:多种解决方案和稳定性处理
IF 3.5 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2026-01-18 DOI: 10.1016/j.finmec.2026.100352
Amit Kumar Pandey , Prakash Goswami , Sohita Rajput , Krishnendu Bhattacharyya , Ali J. Chamkha , Dhananjay Yadav
The thermal behaviour of viscoelastic fluids, particularly those described by the Maxwell model capable of capturing stress-relaxation effects, exhibits several intriguing and practically relevant characteristics. Likewise, flow induced by a contracting surface presents distinctive and non-classical boundary layer features. Motivated by these aspects, the present theoretical study investigates heat transfer in Maxwell fluid flow over a porous contracting flat surface embedded in a porous medium, incorporating a temperature-dependent and spatially-dependent non-uniform heat source/sink. The governing partial differential equations are reduced to self-similar ordinary differential equations using appropriate similarity transformations, and the resulting nonlinear system is solved with high accuracy using the shooting method along with fourth-order Runge–Kutta (RK-4) technique and Secant method. For sufficiently strong suction, dual solutions of the transformed equations are obtained, and a stability assessment confirms that the upper branch solutions are stable, while the lower branch solutions are unstable. The comprehensive analysis uncovers several notable physical insights. The analysis shows that viscoelasticity of Maxwell fluids plays a key stabilizing role: increasing the Deborah number weakens vorticity production, lowers the suction required to maintain an attached boundary layer, and broadens the parameter range in which similarity solutions exist. Permeability of the porous medium also strongly influences boundary layer behaviour; higher resistance suppresses vorticity generated by sheet contraction, enhancing skin friction and heat transfer in the upper branch but diminishing both in the lower branch. Both temperature- and space-dependent heat sources reduce heat transfer rates, while their sink counterparts enhance cooling, though spatial heat generation/absorption produces a far more pronounced thermal response. Suction strengthens and compresses the boundary layer in the stable upper branch but weakens the flow in the unstable lower branch. Overall, the study clarifies how elasticity, permeability, heat generation mechanisms, and mass transfer collectively shape the dual solution structure of Maxwell fluid boundary layers, offering detailed insights relevant to thermal control in viscoelastic–porous systems.
粘弹性流体的热行为,特别是能够捕捉应力松弛效应的麦克斯韦模型所描述的热行为,显示出几个有趣且与实际相关的特征。同样,由收缩表面引起的流动也呈现出独特的非经典边界层特征。在这些方面的激励下,本理论研究了麦克斯韦流体在多孔介质中嵌入的多孔收缩平面上的传热,包括温度依赖和空间依赖的非均匀热源/汇。通过适当的相似变换,将控制偏微分方程化简为自相似常微分方程,并结合四阶龙格-库塔(RK-4)技术和割线法对得到的非线性系统进行高精度求解。对于足够强的吸力,得到了变换方程的对偶解,并进行了稳定性评价,证实了上分支解是稳定的,下分支解是不稳定的。全面的分析揭示了几个值得注意的物理见解。分析表明,麦克斯韦流体的粘弹性起着关键的稳定作用:增加底波拉数会减弱涡量的产生,降低维持附着边界层所需的吸力,并扩大相似解存在的参数范围。多孔介质的渗透率也强烈影响边界层的行为;较高的阻力抑制了薄板收缩产生的涡量,增加了上部分支的摩擦和换热,但降低了下部分支的摩擦和换热。依赖于温度和空间的热源都能降低传热速率,而与之对应的散热器则能增强冷却,尽管空间热产生/吸收产生的热响应要明显得多。吸力增强和压缩稳定上分支的边界层,但减弱不稳定下分支的流动。总的来说,该研究阐明了弹性、渗透率、产热机制和传质如何共同塑造麦克斯韦流体边界层的双溶液结构,为粘弹性-多孔系统的热控制提供了详细的见解。
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引用次数: 0
Experimental investigation of mechanical properties of hybrid sisal fiber and sheep wool reinforced epoxy composite material 剑麻纤维与羊毛混杂增强环氧复合材料力学性能的实验研究
IF 3.5 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2026-01-17 DOI: 10.1016/j.finmec.2026.100353
Zewditu Aschalew Tarekgne , Teshome Mulatie Bogale , Velmurugan Paramasivam
Hybrid two or more fiber-reinforced composites are generally prepared to enhance different properties as compared to single-fiber reinforced composites. Sheep wool and sisal fibers are natural fibers that can be obtained from animal and plant sources respectively. After extracted and treated the fibers, the woven yarn fiber mat was prepared. The woven hybrid composite was fabricated with a 20% weight fraction of fiber by using hand layup fabrication techniques. Composites samples were prepared under five different weight percentage ratios of sheep wool to sisal fiber 0:20, 5:15, 10:10, 15:5, and 20:0. And each weight percentage of a sample was fabricated with two different angles (0°-90° and ±45°) of orientations. From the experimental test results, it was observed that the tensile, compressive, flexural strengths increase directly with increase sisal fiber weight percentage of composite samples in both 0-90° and ±45°angle of orientations. However, between the two angles of orientation, the tensile and flexural strengths of the hybrid sheep wool and sisal fiber epoxy composite samples were highest in 0-90°angle orientations composite samples. On other hand, the compressive and impact strengths were highest in ±45°angle orientation of the composite samples. Overall, the composite sample with a 15:5 sisal fiber-sheep wool ratio (SA4 and SB4) demonstrated the best mechanical performance. The maximum tensile and flexural strengths of 95.73 MPa and 358.80 MPa, respectively, were obtained for the 0°–90° oriented composite, whereas the highest compressive strength of 95.73 MPa and impact strength is 746.77 kJ/m² were observed in the ±45° oriented composite. The experimental test result shows that the hybrid sheep wool and sisal fiber epoxy composite are alternative materials for the interior part of automotive applications like interior roof and door panels.
与单纤维增强复合材料相比,通常制备两种或多种纤维增强复合材料以增强不同的性能。羊毛和剑麻纤维是天然纤维,分别可以从动物和植物中获得。对纤维进行提取处理后,制备了机织纱纤维垫。采用手工叠层法制备了纤维质量分数为20%的机织杂化复合材料。在羊毛与剑麻的重量百分比为0:20、5:15、10:10、15:5、20:0的条件下制备复合材料样品。样品的每一个重量百分比采用两种不同角度(0°-90°和±45°)的取向制备。试验结果表明,在0-90°和±45°取向角下,复合材料的抗拉、抗压、抗弯强度均随剑麻纤维重量百分比的增加而直接增加。而在两种取向角度之间,0 ~ 90°取向的混合羊毛/剑麻环氧复合材料的拉伸和弯曲强度最高。另一方面,复合材料样品的抗压和冲击强度在±45°角取向时最高。综上所述,剑麻纤维与羊毛(SA4和SB4)比为15:5的复合材料的力学性能最好。0°-90°取向复合材料的最大拉伸强度为95.73 MPa,最大弯曲强度为358.80 MPa,±45°取向复合材料的最大抗压强度为95.73 MPa,最大冲击强度为746.77 kJ/m²。实验测试结果表明,混合羊毛和剑麻纤维环氧复合材料是汽车内饰件的替代材料,如车顶和门板。
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引用次数: 0
Submodeling of roller–raceway contacts of large wind turbine slewing bearings with significant structural deformation 具有显著结构变形的大型风力发电机回转轴承滚子-滚道接触子建模
IF 3.5 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2026-01-13 DOI: 10.1016/j.finmec.2026.100351
Oliver Menck, Matthis Graßmann
Roller bearings are commonly designed by using non-Hertzian submodels to simulate the roller–raceway contacts. The paper aims to analyze how to accurately model the roller–raceway contacts of a large wind turbine slewing bearing with significant structural deformation. To this end, a global FE model of a rotor blade bearing inside a test rig is used. This global FE model uses simplified roller–raceway contact models, the results of which are then inserted into a more accurate analytical submodel based on Reusner. Various methods can be used to perform the global FE calculation and then to insert the result into the submodel. The paper analyzes which method is required in the global FE model and compares two submodels against each other. One of the submodels, which uses displacement as input, is from the literature, and the paper derives from it another one which uses load as input. The model using load as input is identified to be more suitable for the analyzed applications. Roller–raceway contacts in the global FE model do not appear to require much detail for accurate submodel simulations. The results of the paper can support engineers perform detailed rolling contact fatigue life calculations of roller bearings.
滚子轴承通常通过使用非赫兹子模型来模拟滚子-滚道接触来设计。本文旨在分析如何准确建模具有显著结构变形的大型风力发电机回转轴承的滚子-滚道接触。为此,采用了试验台内转子叶片轴承的整体有限元模型。该整体有限元模型采用简化的滚子-滚道接触模型,然后将其结果插入到基于Reusner的更精确的解析子模型中。可以使用各种方法执行全局有限元计算,然后将结果插入子模型。本文分析了全局有限元模型中需要采用哪种方法,并对两个子模型进行了比较。其中以位移为输入的子模型来源于文献,本文推导了另一个以荷载为输入的子模型。使用负载作为输入的模型被认为更适合所分析的应用程序。对于精确的子模型模拟,全局有限元模型中的滚子滚道接触似乎不需要太多细节。本文的结果可以支持工程师对滚子轴承进行详细的滚动接触疲劳寿命计算。
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引用次数: 0
Effect of plate skew angle and crack parameters on buckling of cracked CNT-reinforced composite skew plates 板倾角和裂纹参数对裂纹碳纳米管增强复合材料斜板屈曲的影响
IF 3.5 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2026-01-05 DOI: 10.1016/j.finmec.2026.100349
Mohammad Hossein Taheri , Parham Memarzadeh
The present study is the first to investigate the effect of plate skew angle and crack parameters on the buckling of cracked CNT-reinforced composite skew plates. A MATLAB code, developed within the extended finite element method (XFEM), analyzes the buckling stability of various cracked CNT-reinforced composite skew plate models under different in-plane loading and boundary conditions. The analysis considers varying plate skew angles, crack lengths, and crack locations. The effect of single-walled carbon nanotube (SWCNT) volume fraction and dispersion, modeled using the Eshelby-Mori-Tanaka homogenization scheme, on critical buckling is also examined. Results indicate that the buckling capacity of cracked CNT-reinforced composite skew plates is significantly affected by not only the skew angle and boundary conditions of the plate but also by the length and location of the crack. Moreover, the agglomeration of CNTs reduces the effective stiffness and buckling capacity.
本文首次研究了板倾角和裂纹参数对碳纳米管增强复合材料斜板裂纹屈曲的影响。利用扩展有限元法(XFEM)开发了MATLAB代码,分析了不同面内载荷和边界条件下不同裂纹碳纳米管增强复合材料斜板模型的屈曲稳定性。分析考虑了不同板的斜角、裂纹长度和裂纹位置。采用Eshelby-Mori-Tanaka均质方案建模的单壁碳纳米管(SWCNT)体积分数和分散度对临界屈曲的影响也进行了研究。结果表明,裂纹碳纳米管增强复合材料斜板的屈曲能力不仅受板的倾斜角度和边界条件的影响,而且受裂纹长度和位置的影响。碳纳米管的团聚降低了材料的有效刚度和屈曲能力。
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引用次数: 0
Dynamic load localization and time history identification using blind source separation and structural modal shape matching 基于盲源分离和结构模态振型匹配的动载荷定位与时程识别
IF 3.5 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2026-01-03 DOI: 10.1016/j.finmec.2026.100350
Kun Li , Zhuo Fu , Xianfeng Man , Shuai Wang , Yixiang Chen , Nuo Chen
Accurate knowledge of dynamic load locations and time histories is a critical input for structural design but is often infeasible to measure directly. While numerous load identification methods exist, they predominantly address the localization and time-history reconstruction separately, relying on the prior assumption that one of the two is known. This paper introduces a novel and efficient integrated approach that combines Blind Source Separation (BSS) with Structural Modal Shape Matching (SMSM) to concurrently identify both the spatial location and temporal profile of dynamic loads. The proposed methodology is founded on the principle that modal loads and physical loads are mutually convertible. Initially, truncated modal loads are stably reconstructed in the modal space using a shape function method with Tikhonov regularization. These recovered modal loads are then interpreted as blind mixtures of the unknown physical load source signals, with the structural modal shape coefficients acting as the mixing matrix. BSS is subsequently employed to separate the equivalent load time histories and estimate the mixing matrix. Since the mixing coefficient vector is linearly related to the structural mode shape vector at the load application point, SMSM is implemented by quantifying the intersection angles between the estimated mixing vectors and candidate modal shape vectors to pinpoint the most probable load locations. Finally, the actual load time histories are accurately retrieved using the reconstructed modal loads and the identified modal shape matrix. The efficacy of the proposed method is rigorously demonstrated through two numerical examples involving a complex ropeway tower and a rectangular plate.
动态荷载位置和时程的准确知识是结构设计的关键输入,但通常无法直接测量。虽然存在许多载荷识别方法,但它们主要是分别处理定位和时程重建,依赖于先验假设两者之一是已知的。提出了一种将盲源分离(BSS)和结构模态振型匹配(SMSM)相结合的新型高效集成方法,可同时识别动载荷的空间位置和时间分布。所提出的方法是建立在模态荷载和物理荷载相互转换的原则之上的。首先,利用带Tikhonov正则化的形函数方法在模态空间中稳定重构截短的模态载荷。然后将这些恢复的模态载荷解释为未知物理载荷源信号的盲混合,结构模态振型系数作为混合矩阵。然后利用BSS分离等效荷载时程并估计混合矩阵。由于混合系数矢量与加载点的结构模态振型矢量线性相关,因此SMSM通过量化估计的混合矢量与候选模态振型矢量之间的交角来确定最可能的加载位置。最后,利用重构的模态荷载和识别出的模态振型矩阵准确地检索出实际荷载时程。通过两个复杂索道塔和矩形板的数值算例,验证了该方法的有效性。
{"title":"Dynamic load localization and time history identification using blind source separation and structural modal shape matching","authors":"Kun Li ,&nbsp;Zhuo Fu ,&nbsp;Xianfeng Man ,&nbsp;Shuai Wang ,&nbsp;Yixiang Chen ,&nbsp;Nuo Chen","doi":"10.1016/j.finmec.2026.100350","DOIUrl":"10.1016/j.finmec.2026.100350","url":null,"abstract":"<div><div>Accurate knowledge of dynamic load locations and time histories is a critical input for structural design but is often infeasible to measure directly. While numerous load identification methods exist, they predominantly address the localization and time-history reconstruction separately, relying on the prior assumption that one of the two is known. This paper introduces a novel and efficient integrated approach that combines Blind Source Separation (BSS) with Structural Modal Shape Matching (SMSM) to concurrently identify both the spatial location and temporal profile of dynamic loads. The proposed methodology is founded on the principle that modal loads and physical loads are mutually convertible. Initially, truncated modal loads are stably reconstructed in the modal space using a shape function method with Tikhonov regularization. These recovered modal loads are then interpreted as blind mixtures of the unknown physical load source signals, with the structural modal shape coefficients acting as the mixing matrix. BSS is subsequently employed to separate the equivalent load time histories and estimate the mixing matrix. Since the mixing coefficient vector is linearly related to the structural mode shape vector at the load application point, SMSM is implemented by quantifying the intersection angles between the estimated mixing vectors and candidate modal shape vectors to pinpoint the most probable load locations. Finally, the actual load time histories are accurately retrieved using the reconstructed modal loads and the identified modal shape matrix. The efficacy of the proposed method is rigorously demonstrated through two numerical examples involving a complex ropeway tower and a rectangular plate.</div></div>","PeriodicalId":93433,"journal":{"name":"Forces in mechanics","volume":"22 ","pages":"Article 100350"},"PeriodicalIF":3.5,"publicationDate":"2026-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145926998","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Progressive study of water pressure-induced damage in hollow glass microsphere/epoxy resin composite materials based on the theory of elastic strain energy 基于弹性应变能理论的中空玻璃微球/环氧树脂复合材料水压损伤的渐进研究
IF 3.5 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-12-21 DOI: 10.1016/j.finmec.2025.100348
Jingze Wang , Wenyan Tang , Hongyuan Sun , Weicheng Cui , Jiawang Chen , Bo Gao , Linlin Kang
The application of hollow glass microsphere/epoxy resin (HGMs/ER) composites is critical for deep-sea submersibles. This study proposes a progressive damage theory for HGMs/ER composites under hydrostatic pressure, based on elastic strain energy derived from self-consistent theory. We determined the ultimate strain energy limit of the HGMs and established their strain energy density distribution and probability distribution functions. The model predicted a chain fracture threshold pressure of 128.0 MPa for the composite material (density: 0.68 g/cm³). Below this threshold, water absorption remained low (e.g., 0.63% at 115 MPa), whereas above it, the water absorption rate increased exponentially with pressure, reaching 1.67% at 165 MPa. This sharp increase was quantitatively linked via an established absorption model to the volume fraction of fractured HGMs. Theoretical predictions of water absorption rates showed excellent agreement with experimental data, providing rigorous validation of the proposed progressive damage theory. These findings provide quantitative failure-prediction criteria and optimization guidelines for deep-sea buoyancy materials.
中空玻璃微球/环氧树脂(HGMs/ER)复合材料的应用对深海潜水器至关重要。本文提出了基于自相容理论的弹性应变能的静水压力下hgm /ER复合材料的递进损伤理论。确定了hgm的极限应变能极限,建立了其应变能密度分布和概率分布函数。该模型预测复合材料(密度为0.68 g/cm³)的链断裂阈压力为128.0 MPa。低于该阈值,吸水率较低(115 MPa时为0.63%),高于该阈值,吸水率随压力呈指数增长,在165 MPa时达到1.67%。通过建立的吸收模型,可以定量地将这种急剧增加与断裂的hgm的体积分数联系起来。吸水率的理论预测与实验数据非常吻合,为提出的渐进损伤理论提供了严格的验证。这些发现为深海浮力材料的失效预测提供了定量准则和优化指导。
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引用次数: 0
Experimental and numerical damage assessment of PLA based on young’s modulus reduction using the bonora damage model 采用bonora损伤模型对基于杨氏模量折减的聚乳酸损伤进行实验和数值评估
IF 3.5 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-12-13 DOI: 10.1016/j.finmec.2025.100345
Mohammad Ali Kazemi , Seyedsajad Jafari , Mostafa akbari
The goal of this paper is to experimentally and numerically investigate damage evolution in PLA+ materials, based on the reduction of Young’s modulus during cyclic loading–unloading tests. Standard tensile specimens were fabricated via FDM 3D printing and tested under displacement-controlled cyclic loading, while strain was measured using both extensometer and digital image correlation. The Bonora damage model was calibrated for PLA+ by fitting the damage parameter to experimental plastic strain data. The obtained constants (Dcr=0.20, εth=0.012, εf=0.042, α=0.76) were implemented in a custom VUSDFLD subroutine in ABAQUS. The finite element simulations successfully predicted final failure, showing good agreement with the experimental damage parameter evolution. The numerical predictions deviated <5 % from experimental results, confirming the high accuracy of the Bonora-based model implementation. This combined experimental–numerical framework provides a reliable basis for predicting progressive damage in PLA+ components under quasi-static loading. The novelty of this work lies in the calibration of the Bonora model for PLA+, which shows enhanced ductility compared to conventional PLA, and in demonstrating its potential for reliable application in both engineering load-bearing structures and biodegradable biomedical devices.
本文的目的是通过实验和数值研究基于循环加载-卸载试验中杨氏模量降低的PLA+材料的损伤演变。通过FDM 3D打印制作标准拉伸试件,在位移控制的循环加载下进行测试,同时使用伸量计和数字图像相关测量应变。通过将损伤参数拟合到实验塑性应变数据中,对PLA+的Bonora损伤模型进行了标定。得到的常数(Dcr=0.20, εth=0.012, εf=0.042, α=0.76)在ABAQUS自定义的VUSDFLD子程序中实现。有限元模拟成功地预测了最终破坏,与试验损伤参数的演变符合较好。数值预测与实验结果偏差5%,证实了基于bonora模型实现的高精度。这种实验-数值结合的框架为预测PLA+构件在准静态载荷作用下的渐进损伤提供了可靠的依据。这项工作的新颖之处在于校准了PLA+的Bonora模型,与传统PLA相比,PLA+显示出增强的延展性,并展示了其在工程承重结构和可生物降解生物医学设备中的可靠应用潜力。
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引用次数: 0
Chemomechanical modeling of lithiation-induced failure based on strain gradient plasticity theory 基于应变梯度塑性理论的锂化破坏化学力学建模
IF 3.5 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-12-13 DOI: 10.1016/j.finmec.2025.100343
Zengsheng Ma
Porous silicon (Si) anodes in lithium-ion batteries (LIBs) experience significant diffusion-induced stress gradients during electrochemical cycling, leading to crack propagation and active material pulverization. To systematically predict such failure behaviors, this study proposes a chemo-mechanical coupling framework by integrating strain gradient plasticity (SGP) theory with damage mechanics. The theoretical model explicitly resolves the interplay among lithiation kinetics, dislocation-mediated plasticity, and progressive damage accumulation in porous Si structures. Finite element method (FEM) simulations reveal the spatiotemporal evolution of lithium concentration fields, stress-strain distributions, and microcrack patterns. Parametric analyses identify critical structural parameters (e.g., pore radius, porosity) governing stress localization and interfacial delamination. Additionally, this work constructs a quantitative failure mechanism diagram that correlates state-of-charge (SOC), porosity, and pore geometry with fracture thresholds. The diagram offers actionable guidance for optimizing electrode architectures to mitigate stress-induced degradation in high-capacity LIB anodes.
锂离子电池(LIBs)多孔硅(Si)阳极在电化学循环过程中会产生明显的扩散诱导应力梯度,导致裂纹扩展和活性物质粉末化。为了系统地预测这种破坏行为,本研究将应变梯度塑性(SGP)理论与损伤力学相结合,提出了一个化学-力学耦合框架。该理论模型明确地解决了多孔硅结构中锂化动力学、位错介导的塑性和渐进损伤积累之间的相互作用。有限元模拟揭示了锂离子浓度场、应力-应变分布和微裂纹模式的时空演化规律。参数分析确定了控制应力局部化和界面分层的关键结构参数(如孔隙半径、孔隙度)。此外,该工作还构建了定量破坏机理图,将荷电状态(SOC)、孔隙度和孔隙几何形状与破裂阈值相关联。该图为优化电极结构提供了可行的指导,以减轻高容量锂离子电池阳极的应力诱导退化。
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引用次数: 0
Analytical investigation of nonlinear response of single-walled carbon nanotube resting on elastic foundation subjected to casimir-electrostatic-van der waals forces 弹性基础上单壁碳纳米管在卡西米尔-静电-范德华力作用下的非线性响应分析研究
IF 3.5 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-12-13 DOI: 10.1016/j.finmec.2025.100344
E.H. Abubakar , A.A. Yinusa , M.G. Sobamowo , O.M. Sadiq
This paper presents analytical investigation into the nonlinear dynamic response of single-walled carbon nanotube (SWCNT) resting on elastic foundation and subjected to magneto-thermal and electrostatic environment under the influence of Casimir and intermolecular forces. The Euler-Bernoulli beam theory, the nonlocal elasticity theory and Hamilton’s principle of nonlinear mechanistic motion are applied in the theoretical formulation of the governing differential equation and the Galerkin decomposition technique is used to decompose the formulated equation of motion into spatial and temporal parts. The duffing equation which describes the temporal part of the equation of motion of the SWCNT is then solved analytically. Subsequently, the frequency ratios of the nanotube for end conditions including simple-simple, clamped-clamped, clamped-simple, and clamped-free are obtained. Furthermore, parametric study is carried out to show the influences of Casimir force, intermolecular force, electrostatic force, magnetic term, elastic foundation and thermal term on the nanotube’s stability. The stability response solution obtained from the parametric study reveals that an increase in Casimir force enables CNTs to experience an additional attractive pressure that decreases their stability and may result in buckling or collapse. Meanwhile, increase in Van der Waals force reduces critical buckling load. Additionally, increasing the electrostatic force results in an increased frequency ratio and vibration amplitude. These parameters need to be carefully monitored or controlled to prevent instabilities due to their sensitivities.
本文分析研究了单壁碳纳米管(SWCNT)在弹性基础上,在卡西米尔力和分子间作用力的影响下,在磁热和静电环境下的非线性动力响应。应用欧拉-伯努利梁理论、非局部弹性理论和Hamilton非线性机械运动原理对控制微分方程进行理论推导,并利用伽辽金分解技术将运动方程分解为空间和时间两个部分。然后对描述swcnts运动方程时间部分的duffing方程进行解析求解。随后,得到了纳米管在简单-简单、夹紧-夹紧、夹紧-简单和无夹紧等末端条件下的频率比。此外,还对卡西米尔力、分子间力、静电力、磁项、弹性基础和热项对纳米管稳定性的影响进行了参数化研究。从参数化研究中得到的稳定性响应解表明,卡西米尔力的增加使碳纳米管承受额外的吸引压力,从而降低其稳定性,并可能导致屈曲或坍塌。同时,范德华力的增大降低了临界屈曲载荷。此外,增加静电力会导致频率比和振动幅值的增加。这些参数需要仔细监测或控制,以防止因其敏感性而产生不稳定。
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引用次数: 0
Investigation on crack initiation life of helical gears in wind turbine gearbox based on temperature field 基于温度场的风电齿轮箱斜齿轮起裂寿命研究
IF 3.5 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-12-01 DOI: 10.1016/j.finmec.2025.100342
Yong Yue , Xin Jin , Meilin Jiang , An Wu
Gearboxes are critical mechanical components commonly used for wind turbines. This study develops a damage-coupled model to predict the crack initiation life of wind turbine gears, explicitly incorporating the effects of temperature fields and residual stress. The findings reveal distinct failure mechanisms across the gear tooth. At the tooth root, life is governed by tensile bending stress, with the critical location shifting along the normalized profile under the Smith-Watson-Topper (SWT) criterion, while its minimum value remains largely unaffected. For the meshed tooth flanks, the region near a normalized profile of 0.28 is most prone to cracking. The temperature field significantly alters the life distribution, severely reducing the minimum life by over 45% near the pitch circle while causing a slight improvement at the gear ends. Furthermore, a critical subsurface life minimum at 0.4-0.6 mm depth is identified at the pitch circle. Although thermal loads reduce the minimum life at the root and pitch circle by over 42.89% and 24.91%, respectively, they do not alter the fundamental life distribution trends, which are primarily mechanical-stress-driven. The residual compressive stress extends the crack initiation life, while the residual tensile stress shortens it, with minimal impact on the distribution profile.
齿轮箱是风力涡轮机常用的关键机械部件。本研究建立了一个损伤耦合模型来预测风力发电机齿轮的裂纹萌生寿命,明确地考虑了温度场和残余应力的影响。研究结果揭示了跨齿轮齿明显的失效机制。在牙根,寿命由拉伸弯曲应力决定,根据Smith-Watson-Topper (SWT)准则,关键位置沿着归一化轮廓移动,而其最小值基本不受影响。对于啮合齿侧,在归一化轮廓值为0.28附近的区域最容易发生裂纹。温度场显著地改变了齿轮的寿命分布,使齿轮在节圆附近的最小寿命严重降低了45%以上,而在齿轮末端的最小寿命略有提高。此外,在节距圈处确定了0.4-0.6 mm深度的临界地下寿命最小值。虽然热载荷使根部和节距圈的最小寿命分别降低42.89%和24.91%以上,但它们并没有改变基本的寿命分布趋势,主要是机械应力驱动的。残余压应力延长了裂纹萌生寿命,而残余拉应力缩短了裂纹萌生寿命,但对裂纹分布曲线的影响最小。
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Forces in mechanics
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