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Rolling-induced flexural vibration 滚动引起的弯曲振动
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2026-02-02 DOI: 10.1016/j.euromechsol.2026.106039
Chen Xuan
Flexural vibration can be triggered by rolling, an unusual way that has never been studied. Being a planar motion triggered from another motion, it integrates structural dynamics, flexural vibration and contact mechanics. I coin the term “rolling-induced flexural vibration” for this new problem, which is valuable not only to the fundamental theory of structural dynamics but also to various rolling mechanical systems like rolling soft robots. The developed wheels-on-a-string rolling beam that extends the Euler–Bernoulli theory overcomes numerical challenges in contact mechanics by removing inequalities in boundary conditions. An analysis of energy transport and dissipation highlights an unusual rolling beam system. Comparisons are conducted among 3D contact finite element analysis, the rolling beam model and a few analytic solutions. Despite ignoring certain aspect ratio dependence in 3D contact finite elements, the rolling beam model serves as a tool for assessing the efficiency and quality of 3D contact solutions to determine whether switching to alternative contact solvers is necessary. The computational efficiency of the rolling beam model can be up to hundreds of thousands of times higher than that of 3D contact finite elements.
弯曲振动可以通过滚动触发,这是一种从未被研究过的不寻常的方式。它是由另一个运动触发的平面运动,集结构动力学、弯曲振动和接触力学于一体。对于这一新问题,笔者提出了“滚动诱导弯曲振动”一词,这不仅对结构动力学的基础理论有价值,而且对滚动软机器人等各种滚动机械系统也有价值。所开发的弦上轮滚动梁扩展了欧拉-伯努利理论,消除了边界条件中的不等式,克服了接触力学中的数值难题。对一种不寻常的滚动梁系统进行了能量输运和耗散分析。对三维接触有限元分析、滚动梁模型和几种解析解进行了比较。尽管在三维接触有限元中忽略了某些纵横比依赖,但滚动梁模型可以作为评估三维接触解的效率和质量的工具,以确定是否需要切换到其他接触解。滚动梁模型的计算效率比三维接触有限元计算效率高数十万倍。
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引用次数: 0
Analytical and numerical investigation of Stoneley wave scattering by an interfacial delamination in hybrid composites 杂化复合材料界面分层对斯通利波散射的分析与数值研究
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2026-01-29 DOI: 10.1016/j.euromechsol.2026.106046
Ngoc Quy Hoang , TruongGiang Nguyen , Ductho Le , Haidang Phan
This study introduces an analytical framework for investigating the propagation and scattering of Stoneley waves at the interface between two orthotropic elastic half-spaces under harmonic excitation. By applying elastodynamic reciprocity theorems, we derive closed-form solutions for the associated displacement and stress fields and analyze their interactions with interfacial delamination. The proposed formulations enable direct evaluation of wave scattering behavior, providing an efficient and accurate tool for characterizing wave–defect interactions in anisotropic media. The analytical predictions are validated through numerical simulations, demonstrating strong agreement and confirming the applicability of the method across a variety of material configurations. The results extend the potential of nondestructive evaluation (NDE) and structural health monitoring (SHM) by providing a reliable methodology to detect and quantify interfacial defects in composite structures. The developed framework contributes to a deeper understanding of interface wave mechanics and serves as a foundation for practical applications in materials engineering, aerospace, and geomechanics.
本文引入了一种分析框架,用于研究谐波激励下两个正交各向异性弹性半空间界面上斯通利波的传播和散射。应用弹性动力学互易定理,导出了相关位移场和应力场的封闭解,并分析了它们与界面分层的相互作用。所提出的公式能够直接评估波散射行为,为表征各向异性介质中的波-缺陷相互作用提供了有效而准确的工具。通过数值模拟验证了分析预测,证明了强烈的一致性,并证实了该方法在各种材料配置中的适用性。研究结果通过提供一种可靠的方法来检测和量化复合材料结构中的界面缺陷,扩展了无损评估(NDE)和结构健康监测(SHM)的潜力。所开发的框架有助于更深入地理解界面波动力学,并为材料工程、航空航天和地质力学的实际应用奠定基础。
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引用次数: 0
In-plane mechanical properties of demi-regular lattice materials 半规则晶格材料的面内力学性能
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2026-01-29 DOI: 10.1016/j.euromechsol.2026.106038
Anastasia Markou, Luc St-Pierre
We investigated the potential of demi-regular tessellations to outperform existing prismatic lattice materials, such as the triangular topology. The in-plane mechanical properties of three demi-regular tessellations were derived analytically, and then corroborated by both finite element simulations and experiments. Our analysis showed that these three topologies are elastically isotropic and have a stretching-dominated behaviour. The elastic modulus of these three demi-regular topologies was 5%–20% lower than that of a triangular lattice. Demi-regular lattices, however, had a high elastic buckling strength, up to 42% higher than their triangular counterpart. In addition, two demi-regular lattices were found to be fairly insensitive to imperfections. These characteristics make them ideal topologies for ultra-lightweight applications, where failure is usually governed by elastic buckling.
我们研究了半规则镶嵌的潜力,以超越现有的棱柱晶格材料,如三角形拓扑。对三种半规则镶嵌的面内力学性能进行了解析推导,并进行了有限元模拟和实验验证。我们的分析表明,这三种拓扑结构是弹性各向同性的,并具有拉伸主导的行为。这三种半规则拓扑的弹性模量比三角晶格的弹性模量低5% ~ 20%。然而,半规则晶格具有较高的弹性屈曲强度,比三角形晶格高42%。此外,发现两个半规则晶格对缺陷相当不敏感。这些特性使其成为超轻量化应用的理想拓扑结构,在超轻量化应用中,失效通常由弹性屈曲控制。
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引用次数: 0
Void growth drives electrical resistance increase: A physics-based damage model for ductile metallic conductors 空隙生长驱动电阻增加:一种基于物理的韧性金属导体损伤模型
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2026-01-28 DOI: 10.1016/j.euromechsol.2026.106043
Rui Barreira , Nils Koltzenburg , Robin Wieland , Selcuk Mentese , Uwe Kramer , Bekim Berisha
This work introduces a novel physics-based model to track and quantify damage-induced degradation in metallic conductors through the increase in electrical resistance. We hypothesize this degradation is driven by the growth of internal porosity, and propose an evolution law for the decrease in material conductivity based on the Voigt–Reuss composite bounds with a single fitting parameter. To relate the local conductivity with the effective resistance of a conductor, a novel homogenization scheme based on power equivalency principles is also introduced. Our model is validated on copper microvias under interconnect stress test conditions for which experimental data are collected. Finite element simulations of 200 complete thermal cycles are performed for both stacked and staggered microvia configurations, with geometries derived from scanning electron microscopy measurements. The proposed model fits the industrial experimental data well, improving upon existing models by over one order of magnitude. The analysis is extended with a crystal plasticity constitutive model informed by electron backscatter diffraction texture data, which revealed highly localized plastic strain hotspots within the grain structure, preferential sites for void nucleation and growth. This provides direct evidence for the mechanism that creates porosity within the microvia, validating the fundamental assumptions of our model.
这项工作引入了一种新的基于物理的模型,通过电阻的增加来跟踪和量化金属导体中损伤引起的退化。我们假设这种退化是由内部孔隙率的增长驱动的,并基于单一拟合参数的voight - reuss复合边界提出了材料电导率下降的演化规律。为了将导体的局部电导率与有效电阻联系起来,还提出了一种基于功率等效原理的均匀化方案。我们的模型在铜微孔互连应力测试条件下进行了验证,并收集了实验数据。对200个完整的热循环进行了有限元模拟,包括堆叠和交错微孔配置,几何形状来源于扫描电子显微镜测量。该模型与工业实验数据拟合良好,比现有模型提高了一个数量级以上。利用电子背散射衍射织构数据建立了晶体塑性本构模型,揭示了晶粒结构中高度局部化的塑性应变热点,以及空穴成核和生长的优先位置。这为微孔内产生孔隙的机制提供了直接证据,验证了我们模型的基本假设。
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引用次数: 0
Vibroacoustic analysis of sandwich and honeycomb panels using an efficient FEM approach 夹层板和蜂窝板的振动声分析
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2026-01-23 DOI: 10.1016/j.euromechsol.2026.106040
Ziyi Liu, Haikuan Dong, Guanhua Zheng, Qiang Gao
In this paper, an efficient finite element method (FEM) is developed for vibroacoustic analysis of sandwich and honeycomb panels in an infinite fluid domain. The infinite fluid domain is approximated by a sufficiently large cubic domain, whose size is determined according to the sound radiation and wave decay criteria. Within the frequency range of interest (100–5000 Hz), the mesh resolution adaptively refined according to wavelength and the frequency-dependent finite element model is established to balance accuracy and computational efficiency. Moreover, an iterative algorithm separates the fluid-structure interaction equation into structural and fluid equations. Then, the structural equation is solved directly, while the fluid equation is efficiently handled using the Kronecker product, which transforms the large n3-order matrices into a series of n-order operations and significantly reduces computational cost. Numerical examples demonstrate that the proposed method accurately predicts the vibroacoustic response of sandwich and honeycomb panels. Compared with Ansys simulation, the proposed method maintains high accuracy, with CPU time reduced by 8–24 times.
本文建立了一种有效的有限元方法,用于夹芯板和蜂窝板在无限流体域中的振动声分析。无限流体域近似为一个足够大的三次域,其大小根据声辐射和波衰减准则确定。在感兴趣的频率范围内(100-5000 Hz),根据波长自适应细化网格分辨率,建立与频率相关的有限元模型,以平衡精度和计算效率。此外,采用迭代算法将流固耦合方程分离为结构方程和流体方程。然后,直接求解结构方程,利用Kronecker积高效处理流体方程,将大型n阶矩阵转化为一系列n阶运算,显著降低了计算成本。数值算例表明,该方法能准确预测夹层板和蜂窝板的声振响应。与Ansys仿真相比,该方法保持了较高的精度,CPU时间减少了8-24倍。
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引用次数: 0
Analysis of dynamic response of cracked gear system with structural coupling effect 考虑结构耦合效应的裂纹齿轮系统动态响应分析
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2026-01-22 DOI: 10.1016/j.euromechsol.2026.106037
Xiaosong Hu , Lei Wang , Qingsen Hu
Aiming at the problem of changes in the dynamic characteristics of the gear pair caused by crack propagation under the action of the coupling effect of the inter-tooth structure, a new analytical model for the stiffness of cracked teeth based on the potential energy method is proposed. The model analyses the difference in influence caused by the location of crack propagation and the degree of deterioration. Then an improved cracked gear pair dynamics model is established by integrating the crack and coupling effects. The dynamic characteristics of the gear system under the interaction of crack and structural coupling effects are revealed. The computational results are compared with the existing model and verified by finite element results. The results show that the structural coupling effect transforms the dynamic behaviour of the system and the change in the tooth load bearing region caused by crack propagation cannot be ignored. The proposed model provides more accurate mesh stiffness calculation and dynamic simulation, which provides a theoretical basis and valuable reference for the dynamic simulation and fault diagnosis of cracked gear systems.
针对在齿间结构耦合作用下裂纹扩展引起齿轮副动态特性变化的问题,提出了一种基于势能法的裂纹齿刚度分析新模型。该模型分析了裂纹扩展位置和劣化程度对其影响的差异。在此基础上,综合裂纹效应和耦合效应,建立了改进的齿轮副裂纹动力学模型。揭示了裂纹和结构耦合作用下齿轮系统的动态特性。将计算结果与现有模型进行了比较,并与有限元结果进行了验证。结果表明,结构耦合效应改变了系统的动力特性,裂纹扩展引起的齿面承载区域变化不容忽视。该模型提供了更精确的啮合刚度计算和动态仿真,为裂纹齿轮系统的动态仿真和故障诊断提供了理论依据和有价值的参考。
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引用次数: 0
Fracture behaviour of notched P3HB specimens – Effects of strain rate and natural aging 缺口P3HB试样的断裂行为。应变速率和自然时效的影响
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2026-01-22 DOI: 10.1016/j.euromechsol.2026.106036
Elżbieta Bura , Wiesław Frącz
This study investigates the fracture mechanics of notched P3HB specimens subjected to monotonic tensile loading under different average strain rates, from 0.14·10−3 s−1 to 14·10−3 s−1, and tested 24, 168, and 720 h after manufacturing to capture changes due to natural aging. Flat specimens were weakened with double-sided V-notches of various root radii to analyse stress concentration effects. Force response, elongation, and fracture surface morphology were examined to identify mechanisms governing crack initiation and propagation. Natural aging increased Young's modulus by 15–20 % and reduced elongation at break by 30–40 %, indicating embrittlement over time. In contrast, higher strain rates promoted up to 25 % greater maximum force and elongation to fracture, likely due to strain-induced mesophase formation. In all cases, fracture initiated at the notch root, with a larger notch radius reducing stress concentration and delaying crack initiation. A progressive shift toward brittle fracture behaviour was observed with aging duration and strain rate. The predictive capability of two classical brittle-fracture criteria-Maximum Tangential Stress (MTS) and Mean Stress (MS) – was evaluated. Significant discrepancies between predicted and experimental critical loads were found, with errors of approximately 49–56 %. These results demonstrate that existing criteria do not adequately capture local deformation mechanisms in P3HB. Reliable fracture prediction therefore requires models incorporating evolving plastic strain fields and experimentally derived hardening behaviour, providing a foundation for improved failure criteria for aging-sensitive polymers. When critical parameters were calibrated using experimental data within the Theory of Critical Distances framework, the prediction error was reduced to below 7 % (MTS), demonstrating that the proposed approach provides quantitative predictive capability for notched P3HB specimens across different aging times and strain rates.
在0.14·10−3 s−1到14·10−3 s−1的不同平均应变速率下,研究了有缺口的P3HB试样在单调拉伸载荷下的断裂力学,并在制造后24、168和720 h进行了测试,以捕捉自然时效引起的变化。采用不同根半径的双面v形切口对平面试件进行削弱,分析应力集中效应。力响应,伸长率和断裂表面形貌进行了检查,以确定控制裂纹萌生和扩展的机制。自然时效使杨氏模量增加了15 - 20%,断裂伸长率降低了30 - 40%,表明随着时间的推移脆化。相比之下,较高的应变率可使断裂的最大力和伸长率提高25%,这可能是由于应变诱导的中间相形成。在所有情况下,断裂都是从缺口根部开始的,较大的缺口半径减少了应力集中,延迟了裂纹的发生。随着时效时间和应变速率的增加,逐渐向脆性断裂行为转变。对最大切向应力(MTS)和平均应力(MS)两种经典脆性断裂准则的预测能力进行了评价。预测临界负荷与实验临界负荷之间存在显著差异,误差约为49% - 56%。这些结果表明,现有的标准不能充分捕捉P3HB的局部变形机制。因此,可靠的断裂预测需要结合不断变化的塑性应变场和实验导出的硬化行为的模型,为改进老化敏感聚合物的失效标准提供基础。当使用临界距离理论框架内的实验数据校准关键参数时,预测误差降至7% (MTS)以下,表明所提出的方法可以对不同时效时间和应变速率的缺口P3HB样品进行定量预测。
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引用次数: 0
Designing the futuristic dielectric elastomer minimum energy structures using artificial neural networks (ANN) 基于人工神经网络的未来电介质弹性体最小能量结构设计
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2026-01-21 DOI: 10.1016/j.euromechsol.2026.106034
Bhaskar Anupam, Keshav Purviya, Ankur Miglani, Aman Khurana
Dielectric elastomer minimum energy structures (DEMES) have gained significant attention for their ability to switch between multiple equilibrium states. These structures are formed when a pre-stretched elastomer film adheres to an inextensible frame and achieves equilibrium through energy minimization. Traditional methods for analyzing DEMES mechanics-numerical, theoretical, and experimental are often labor-intensive and time-consuming. This paper introduces the application of artificial neural network (ANN) techniques to predict the behavior of DEMES-based actuators efficiently. Using the Levenberg–Marquardt and Bayesian Regularization algorithms, the performance of two prototypes: the four-arm gripper and the flapping-wing actuator previously studied experimentally and numerically in Khurana et al. (2024a), is predicted. The ANN-based approach demonstrates excellent agreement with the numerical results while significantly reducing computation time. This study highlights the potential of ANN techniques as a fast and reliable tool for the parametric evaluation of DEMES structures, streamlining the design and analysis process. Future applications of DEMES, enhanced by ANN-based predictive models, include the development of adaptive soft robotics, bio-inspired actuators, and energy-efficient morphing structures. These advancements could lead to intelligent material systems with real-time control capabilities for biomedical devices, aerospace engineering, and wearable technologies.
介电弹性体最小能量结构(DEMES)由于能够在多种平衡态之间切换而受到广泛关注。当预拉伸弹性体薄膜附着在不可扩展的框架上并通过能量最小化达到平衡时,这些结构就形成了。传统的分析DEMES力学的方法——数值的、理论的和实验的——往往是劳动密集型和耗时的。本文介绍了应用人工神经网络(ANN)技术有效地预测基于demes的执行器的行为。利用Levenberg-Marquardt和Bayesian正则化算法,预测了Khurana等人(2024a)先前通过实验和数值研究的两种原型:四臂抓手和扑翼驱动器的性能。基于人工神经网络的方法与数值结果吻合良好,同时大大减少了计算时间。这项研究强调了人工神经网络技术作为一种快速可靠的工具对DEMES结构进行参数评估的潜力,简化了设计和分析过程。基于人工神经网络的预测模型增强了DEMES的未来应用,包括自适应软机器人、仿生致动器和节能变形结构的开发。这些进步可能会导致具有实时控制能力的智能材料系统,用于生物医学设备、航空航天工程和可穿戴技术。
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引用次数: 0
Characterization of the soft behavior of nematic elastomers over a range of temperature and strain rates 向列弹性体在一定温度和应变速率下的软性能表征
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2026-01-21 DOI: 10.1016/j.euromechsol.2026.106035
Alice Kutsyy , Adeline Wihardja , Victoria Lee , Kaushik Bhattacharya
Nematic elastomers are a particular class of liquid crystal elastomers (LCEs) that exhibit both liquid-crystalline order and rubber (entropic) elasticity. This combination makes them stimuli-responsive soft materials with a number of unusual thermo-mechanical properties. They have been proposed for various applications, including soft robotics, enhanced adhesion, and impact resistance. This paper presents a new experimental setup and a comprehensive dataset characterizing the soft behavior of nematic elastomers over a range of temperatures and strain rates. We also fit the results to a recently developed model of nematic elastomers (Lee et al., 2023).
向列弹性体是一类特殊的液晶弹性体(LCEs),它同时具有液晶有序和橡胶(熵)弹性。这种组合使它们成为具有许多不寻常的热机械性能的刺激响应软材料。它们已被提出用于各种应用,包括软机器人,增强附着力和抗冲击性。本文提出了一个新的实验装置和一个全面的数据集,表征了向列弹性体在一系列温度和应变速率下的软行为。我们还将结果拟合到最近开发的向列弹性体模型(Lee et al., 2023)。
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引用次数: 0
Creep rupture life prediction model combining microstructure evolution and Monkman-Grant relation for thermal and irradiation creep 结合显微组织演化和Monkman-Grant关系的热、辐射蠕变断裂寿命预测模型
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2026-01-20 DOI: 10.1016/j.euromechsol.2026.106033
Dong Tang , Shilin Li , Long Yu , Xinfu He , Xiazi Xiao
In this work, a creep rupture life prediction model is proposed by combining the creep constitutive laws and Monkman-Grant (M-G) relation to analyze the rupture time under thermal and irradiation creep. The model could simultaneously characterize the influence of testing temperature, applied stress and irradiation damage on the steady-state creep strain rate by taking into account corresponding microstructure evolution, accurately capture the mechanism transitions during creep, and then convert the steady-state creep strain rate into macroscopic rupture life via the M-G relation. Once the irradiation effect is ignored, the model can be degraded to predict the thermal creep rupture life. Model validation is achieved by comparing theoretical results with the experimental data of 15-15Ti, 316H, P92 and 304 steels for both thermal and irradiation creep. Related mechanism analyses indicate that the shortened thermal creep rupture life with increasing stress and temperature is mainly ascribed to the accelerated activity of dislocation climb that leads to the enhancement of dislocation mobility and acceleration of creep damage accumulation. Under irradiation creep, it is the elevated vacancy diffusion coefficient that leads to the enhanced activity of dislocation climb, and finally results in the shorter irradiation creep rupture life when compared with the one under thermal creep. The proposed model could provide an efficient theoretical tool for material creep life assessment under extreme environments.
本文结合蠕变本构律和Monkman-Grant (M-G)关系,建立了热、辐射蠕变作用下的蠕变断裂寿命预测模型。该模型能够同时表征试验温度、外加应力和辐照损伤对稳态蠕变应变速率的影响,并考虑相应的微观组织演变,准确捕捉蠕变过程中的机制转变,进而通过M-G关系将稳态蠕变应变速率转化为宏观断裂寿命。在忽略辐照效应的情况下,可以对模型进行退化以预测热蠕变断裂寿命。通过将理论结果与15-15Ti、316H、P92和304钢的热蠕变和辐照蠕变实验数据进行对比,验证了模型的有效性。相关机理分析表明,随着应力和温度的升高,热蠕变断裂寿命缩短的主要原因是位错爬升活动加快,导致位错迁移率增强,蠕变损伤积累加速。辐照蠕变下,空位扩散系数的升高导致位错攀爬活性增强,最终导致辐照蠕变断裂寿命较热蠕变短。该模型可为极端环境下材料蠕变寿命评估提供有效的理论工具。
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引用次数: 0
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European Journal of Mechanics A-Solids
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