European Journal of Mechanics A-Solids最新文献_第9页

A generalized layerwise normal–shear deformation theory (GL-NSDT) for multilayer foam-core sandwich beams 多层泡沫芯夹层梁的广义分层法向剪切变形理论

IF 4.2 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2025-10-24 DOI: 10.1016/j.euromechsol.2025.105932

Zenggui Jin, Fengpeng Yang

Accurate modeling of foam-core sandwich beams is complicated by strong stiffness contrasts, geometric asymmetry, and the bimodular behavior of polymeric foams. Existing theories improve upon classical models but often exhibit interfacial stress discontinuities, high computational demand, or the inability to capture thickness-stretching effects. This work proposes a generalized layerwise normal–shear deformation theory (GL-NSDT) that overcomes these limitations. The framework (i) enforces interfacial shear-stress continuity, (ii) satisfies traction-free boundary conditions, (iii) incorporates foam bimodularity through a Heaviside-based constitutive law, and (iv) explicitly accounts for thickness stretching. Importantly, it reduces the number of kinematic unknowns from

N + 2

to only three generalized displacement variables, achieving near-3D accuracy while retaining the computational efficiency of equivalent single-layer theories. Validation through quasi-static three-point bending tests and detailed finite element simulations confirms the model’s accuracy. Across conventional, foam-only, and functionally graded PMI-core beams, GL-NSDT reliably reproduces global load–deflection behavior and local stress transfer, reducing stiffness prediction errors by nearly an order of magnitude relative to conventional HSDTs. These results establish GL-NSDT as an efficient and physically consistent analytical tool for the design and assessment of advanced sandwich structures with complex cores and material asymmetry.

泡沫芯夹层梁的精确建模是复杂的强刚度对比，几何不对称，以及聚合物泡沫的双模行为。现有的理论改进了经典模型，但往往表现出界面应力不连续，高计算需求，或无法捕捉厚度拉伸效应。这项工作提出了一个广义的分层法向剪切变形理论（GL-NSDT），克服了这些局限性。该框架(i)加强界面剪切应力连续性，（ii）满足无牵引力边界条件，（iii）通过基于heaviside的本构律结合泡沫双模性，（iv）明确考虑厚度拉伸。重要的是，它将运动学未知数的数量从N+2减少到只有三个广义位移变量，在保持等效单层理论的计算效率的同时，实现了接近3d的精度。通过准静态三点弯曲试验和详细的有限元仿真验证了模型的准确性。在传统、纯泡沫和功能分级的pmi核心梁中，GL-NSDT可靠地再现了整体载荷-挠度行为和局部应力传递，相对于传统hsdt，将刚度预测误差降低了近一个数量级。这些结果表明，GL-NSDT是设计和评估具有复杂岩心和材料不对称的先进夹层结构的有效和物理一致的分析工具。

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引用次数: 0

2D analytical solution of a multilayered hollow cylinder subjected to non-uniform loads 非均匀载荷作用下多层空心圆柱体的二维解析解

IF 4.2 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2025-10-22 DOI: 10.1016/j.euromechsol.2025.105926

Vincent Renaud

In this paper, a new analytical solution has been developed using the recursive method to assess stresses, strains and displacements in the cross-section of an elastic multilayered hollow cylinder subjected to non-uniform internal and external loads. Using Michell's analysis of the stress function and Hooke's law, we derived the analytical solution and compared it to the numerical results obtained using FDM software. The analytical and numerical results are in perfect agreement and lead to the conclusion that the non-uniformity of the loading significantly influences the amplitudes of the orthoradial stresses. These orthoradial stresses may not always be equal to the maximum principal stress, depending on the position within the layer. This result suggests that it is not possible to find an analytical solution in the elastoplastic framework where the fracture criterion is expressed in terms of principal stresses, σ₁ = σ_rr or σ_θθ, depending on the position considered. The present study makes it possible to deduce the non-uniform loading at the interface of 2 layers by minimizing the deviations with stress and/or strain measurements in one of the layers of the hollow cylinder. This study should also help to understand the influence of a low stiffness material interspersed between rigid materials.

本文提出了一种用递推法计算弹性多层空心圆柱体在非均匀内外载荷作用下截面应力、应变和位移的新解析解。利用米歇尔应力函数分析和胡克定律，导出了解析解，并与FDM软件得到的数值结果进行了比较。分析结果与数值结果完全一致，并得出载荷的不均匀性对竖向应力幅值有显著影响的结论。这些垂直应力可能并不总是等于最大主应力，这取决于层内的位置。这一结果表明，在以主应力σ1 = σrr或σθθ（取决于所考虑的位置）表示断裂准则的弹塑性框架中不可能找到解析解。本研究通过最小化与空心圆柱体某一层应力和/或应变测量的偏差，可以推断出两层界面处的非均匀载荷。这项研究也应该有助于理解低刚度材料穿插在刚性材料之间的影响。

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引用次数: 0

Size and strain rate dependent plasticity in single-crystal copper micropillars: Insights from in-situ SEM and crystal plasticity modeling 单晶铜微柱中尺寸和应变速率相关的塑性：来自原位扫描电镜和晶体塑性建模的见解

IF 4.2 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2025-10-22 DOI: 10.1016/j.euromechsol.2025.105930

Shijia Wan , Zhenkai Li , Yabin Yan , Fuzhen Xuan

This study systematically explores the coupled influence of strain rate and sample size on the plastic deformation behavior of single-crystal copper micropillars. In-situ uniaxial compression experiments were conducted on pillars with diameters of 1 μm, 2 μm, and 4 μm, subjected to strain rates from 10⁻³ to 10⁻¹ s⁻¹. The results demonstrate that both flow stress and strain hardening behavior are strongly affected by pillar size and strain rate. A pronounced reduction in strain rate sensitivity is observed with decreasing sample size. A crystal plasticity model was established within the framework of crystal plasticity, incorporating both size-dependent hardening and strain-rate-sensitive mechanisms. The model successfully reproduces the experimentally observed evolution of flow stress and the transition from strain softening to hardening. Notably, only a limited number of key parameters require calibration, while other material constants remain fixed, highlighting the robustness and generalizability of the approach. Moreover, statistical analysis of discrete strain bursts reveals that their magnitude distribution follows a truncated power-law with a scaling exponent around 1.5, and the burst activity becomes more pronounced in larger samples and at lower strain rates, consistent with the characteristics of a dislocation avalanche mechanism. By integrating experimental observations with physically based modeling, this work provides new insights into the deformation mechanisms governed by the size-strain rate interplay in single-crystal copper at the microscale, and offers theoretical and methodological support for the performance prediction and structural design of micro-/nano-scale metallic components.

本研究系统地探讨了应变速率和试样尺寸对单晶铜微柱塑性变形行为的耦合影响。在应变速率为10−3 ~ 10−1 s−1的条件下，对直径为1 μm、2 μm和4 μm的矿柱进行了原位单轴压缩试验。结果表明，矿柱尺寸和应变速率对流动应力和应变硬化行为均有较大影响。随样本量的减小，应变率敏感性显著降低。在晶体塑性的框架内建立了晶体塑性模型，该模型结合了尺寸依赖的硬化机制和应变速率敏感的机制。该模型成功地再现了实验观察到的流变应力演变和从应变软化到硬化的转变。值得注意的是，只有有限数量的关键参数需要校准，而其他材料常数保持固定，突出了该方法的鲁棒性和泛化性。此外，对离散应变爆发的统计分析表明，它们的震级分布遵循截断幂律，其标度指数约为1.5，并且在较大的样品和较低的应变速率下，爆发活动更加明显，符合位错雪崩机制的特征。通过将实验观察与物理建模相结合，本研究为微观尺度下单晶铜的尺寸-应变速率相互作用控制的变形机制提供了新的见解，并为微/纳米尺度金属部件的性能预测和结构设计提供了理论和方法上的支持。

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引用次数: 0

Nonlinear dynamic behavior, impact suppression, and stability control of rotor active magnetic bearing systems: a comparative study of fixed and adjustable surplus current strategies 转子主动磁轴承系统的非线性动态行为、冲击抑制和稳定性控制：固定和可调剩余电流策略的比较研究

IF 4.2 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2025-10-22 DOI: 10.1016/j.euromechsol.2025.105928

Ali Kandil

The nonlinear dynamic behavior of a rotor supported by an active magnetic bearings (AMBs) mechanism is studied in this work under both fixed and adjustable surplus current strategies. The effects of impacts, steady-state amplitude control, and system stability are examined across different eccentricities and detunings of the rotor's spinning speed. According to the numerical simulations, when the surplus current is left fixed, the rotor experiences bistability, a high number of impacts with the poles, and severe jump phenomena. This is especially true under dry friction and perfectly elastic contact conditions, which can cause the system to overheat and possibly fail. The adjustable surplus current approach, on the other hand, decreases bistability by reducing multiple-solutions regions in the codimension-2 parameter plane, suppresses nonlinear jump phenomena, and substantially reduces the number of rotor hits from thousands to just a handful. Analyses of the rotor's basin of attraction in the amplitude-phase planes verify that the adjustable technique gets rid of coexisting vibration states, guaranteeing consistent and predictable performance independent of initial conditions. The results show that AMBs with adjustable surplus current strategies are much safer to operate, have less unwanted nonlinear oscillations, and last longer with high-speed, high-precision rotor systems, so it's clear that this control method is better for real-world AMBs.

本文研究了由主动磁轴承支承的转子在固定和可调两种剩余电流策略下的非线性动力学行为。研究了转子转速不同偏心和失谐时的冲击、稳态振幅控制和系统稳定性的影响。数值模拟结果表明，在剩余电流一定的情况下，转子存在双稳性，与极极的碰撞次数较多，且存在严重的跳变现象。在干摩擦和完全弹性接触条件下尤其如此，这可能导致系统过热并可能失效。另一方面，可调剩余电流方法通过减少余维2参数平面上的多解区域来降低双稳性，抑制非线性跳变现象，并将转子撞击次数从数千次大幅减少到少数几次。对转子在幅相平面上的引力盆进行了分析，验证了该可调技术消除了共存振动状态，保证了与初始条件无关的性能一致性和可预测性。结果表明，采用可调剩余电流策略的AMBs操作更安全，具有更少的不必要的非线性振荡，并且在高速，高精度转子系统中使用寿命更长，因此显然这种控制方法更适合实际的AMBs。

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引用次数: 0

MPL-RBF neural network adaptive sliding mode control and comparison of the tunable dielectric elastomer resonator MPL-RBF神经网络自适应滑模控制及可调谐介电弹性体谐振器的比较

IF 4.2 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2025-10-22 DOI: 10.1016/j.euromechsol.2025.105925

Dongmei Huang, Panpan Wang, Jiale Han

In this paper, the adaptive sliding mode control of the tunable dielectric elastomer resonator under parametric excitations is investigated. Aiming at its complex motion characteristics, both the traditional adaptive sliding mode controller (ASMC) and the MPL-RBFNN ASMC are designed to tune the resonator to the predefined orbits, respectively. By designing the control law and adaptation law of the ASMC, the convergence to the desired orbit is proved. The ASMC shows fast tracking ability under continuous and step-type target trajectories, but it exhibits obvious oscillations in the initial stage of control. The chaotic motion of the original resonator can be found, the stretch can be quickly shrink to a periodic orbit when the controller begin to work. Then, the disturbance and uncertainty are considered. The improved method can suppress buffeting by replacing the switch term with the hyperbolic tangent function, and approximates the uncertainty of model by using RBFNN. Its weights are simplified to a single parameter through the MPL method to reduce fluctuations. Then, the Lyapunov stability analysis proves the finite-time convergence of the resonator. Numerical simulations show that for continuous target trajectories, the MPL-RBFNN ASMC algorithm controls smoothness, and the state error converges to zero within a finite time. Under the step-type target trajectory, ASMC shows a better transient response due to the discrete switching mechanism. The results show that the MPL-RBFNN ASMC scheme is applicable to continuous dynamic scenes, and ASMC is more suitable for handling discontinuous target trajectories.

研究了介电弹性体谐振腔在参数激励下的自适应滑模控制问题。针对其复杂的运动特性，设计了传统的自适应滑模控制器（ASMC）和MPL-RBFNN的自适应滑模控制器（ASMC），分别将谐振器调谐到预定的轨道上。通过设计ASMC的控制律和自适应律，证明了ASMC对期望轨道的收敛性。ASMC在连续型和阶跃型目标轨迹下具有快速跟踪能力，但在控制初始阶段存在明显的振荡。可以发现原谐振器的混沌运动，当控制器开始工作时，拉伸可以迅速收缩到一个周期轨道。然后，考虑了扰动和不确定性。改进后的方法通过用双曲正切函数代替开关项抑制抖振，并利用RBFNN逼近模型的不确定性。通过MPL方法将其权重简化为单个参数，以减小波动。然后用Lyapunov稳定性分析证明了谐振器的有限时间收敛性。数值仿真结果表明，对于连续目标轨迹，MPL-RBFNN ASMC算法控制平滑性，状态误差在有限时间内收敛为零。在阶跃型目标轨迹下，由于离散开关机制，ASMC表现出较好的瞬态响应。结果表明，MPL-RBFNN ASMC方案适用于连续动态场景，ASMC更适合于处理不连续目标轨迹。

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引用次数: 0

Dual-beam fishbone metamaterials: Toward amplitude-independent directional response 双波束鱼骨超材料：走向与幅值无关的方向响应

IF 4.2 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2025-10-21 DOI: 10.1016/j.euromechsol.2025.105923

Ahmed Shamseldin , Abdulrahman Alofi , Salem Bashmal

Nonreciprocal metamaterials represent an emerging and underexplored area in engineering and physics. These materials exhibit directional wave propagation, similar to the function of electrical diodes, and hold promise for applications across various domains, including structural dynamics, acoustics, and medical technologies. Most existing passive nonreciprocal metamaterials are based on the widely used fishbone structure, which exhibits a high level of nonreciprocity at specific amplitude thresholds. However, their performance is typically amplitude-dependent, with peak nonreciprocity achieved only at high excitation levels—limiting their practicality in real-world applications. To overcome this limitation, the present study focuses on the development of a passive, 3D-printed nonreciprocal metamaterial with amplitude-independent behavior. The design is based on a modified version of the traditional fishbone structure, aiming to maintain a consistent level of nonreciprocity across a wide range of excitation amplitudes. The proposed models are first investigated numerically, followed by experimental validation. Results demonstrate that the new design significantly reduces the variation in nonreciprocity response with amplitude, achieving a nearly constant nonreciprocity level over a broad amplitude range. To further enhance performance, two additional strategies were employed: introducing notches in the unit cell beams and reducing structural resistance. Both approaches successfully improved the overall nonreciprocity level and its consistency. These findings provide valuable insights into the design of amplitude-independent nonreciprocal metamaterials and represent a meaningful step toward their practical implementation.

非互易超材料在工程和物理学中是一个新兴的、未被充分探索的领域。这些材料表现出定向波传播，类似于二极管的功能，在包括结构动力学、声学和医疗技术在内的各个领域都有应用前景。现有的无源非互易超材料大多基于广泛应用的鱼骨结构，在特定的振幅阈值下表现出高度的非互易性。然而，它们的性能通常是振幅相关的，只有在高激励水平下才能达到峰值非互易性，这限制了它们在实际应用中的实用性。为了克服这一限制，目前的研究重点是开发一种具有振幅无关行为的被动3d打印非互易超材料。该设计基于传统鱼骨结构的改进版本，旨在在广泛的激励幅度范围内保持一致的非互易性水平。首先对所提出的模型进行了数值研究，然后进行了实验验证。结果表明，新设计显著降低了非互易响应随幅值的变化，在较宽的幅值范围内实现了近乎恒定的非互易水平。为了进一步提高性能，采用了两种额外的策略：在单元格梁中引入缺口和减少结构阻力。这两种方法都成功地提高了总体非互惠水平及其一致性。这些发现为振幅无关非互易超材料的设计提供了有价值的见解，并代表了其实际实施的有意义的一步。

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引用次数: 0

Classification of wear mechanisms in hot forming of aluminium alloy by machine and deep learning approaches 基于机器和深度学习方法的铝合金热成形磨损机理分类

IF 4.2 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2025-10-21 DOI: 10.1016/j.euromechsol.2025.105927

Philippe Moreau , Panuwat Soranansri , Lucas Morin , Donatien Claeyssens-Beaupere , Fabien Béchet , Franck Massa , André Dubois , Laurent Dubar , Ahmed Snoun , Thierry Delot

Sustainable manufacturing emphasises lubricant-free forming to reduce costs, chemical exposure and environmental impact. In high-temperature forming of aluminium alloys, this approach results in direct contact between the part and tools, leading to material transfer and surface defects. Amorphous carbon coatings (such as DLC) limit these problems, although they are prone to mechanical wear and degradation at high temperatures. In order to better understand the transfer mechanisms and to optimize these forming processes, recent studies have used experimental tests to analyse the effects of temperature, sliding velocity and distance covered. Based on this research, this article focuses on the classification of defects (Plowing grooves, Peeling off and co-occurring defects case) associated with transfer mechanisms (abrasion, adhesion) during high-temperature forming of 6082-T6 aluminium alloys. Two approaches are compared: an analysis of 2D surface profiles using interferometry with different supervised and unsupervised machine learning algorithms, and an analysis of SEM images using a convolutional neural network. The aim is to automate the identification of defects, even in the presence of multiple defects, and to determine the parameters (statistical or roughness) that characterise these defects. Despite the challenges posed by unbalanced and uncleaned databases, the results show that the models are highly accurate.

可持续制造强调无润滑油成型，以降低成本，化学品暴露和环境影响。在铝合金的高温成形中，这种方法导致零件和工具之间的直接接触，导致材料转移和表面缺陷。非晶碳涂层（如DLC）限制了这些问题，尽管它们在高温下容易发生机械磨损和降解。为了更好地理解传递机制并优化这些成形过程，最近的研究使用实验测试来分析温度、滑动速度和覆盖距离的影响。在此基础上，重点对6082-T6铝合金高温成形过程中与传递机制（磨损、粘附）相关的缺陷（犁沟、剥落和共发生缺陷情况）进行了分类。比较了两种方法：使用干涉测量法与不同的监督和无监督机器学习算法分析二维表面轮廓，以及使用卷积神经网络分析SEM图像。目标是自动识别缺陷，即使存在多个缺陷，并确定表征这些缺陷的参数（统计或粗糙度）。尽管不平衡和未清理的数据库带来了挑战，但结果表明，该模型具有很高的准确性。

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引用次数: 0

Finite element modeling for cohesive failure of adhesive structures: Hydrostatic stress dependence 黏附结构内聚破坏的有限元模拟：静水应力依赖

IF 4.2 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2025-10-20 DOI: 10.1016/j.euromechsol.2025.105920

Yamato Hoshikawa , Yoshiaki Kawagoe , Kazuki Ryuzono , Tomonaga Okabe

In recent aircraft development, the demand for adhesive joints using thermosetting adhesives has increased, highlighting the need for improved strength prediction techniques. Most conventional approaches are based on the Cohesive Zone Model (CZM); however, few studies have considered the effects of triaxial stress. This paper proposes a Smeared Crack Model (SCM) that incorporates a strength criterion under plastic deformation and multiaxial stress. The model employs a failure criterion based on hydrostatic and von Mises stresses, and utilizes a damage evolution approach similar to that of CZM. In addition, a modified Ma-Kishimoto (MMK) model was investigated, in which the adhesive layer is represented by interface elements. This model introduces a parameter identification method that accounts for energy dissipation due to plasticity and the influence of triaxial deformation. To validate the proposed method, single-lap shear (SLS) tests were conducted using unidirectional CFRP bonded with a thermosetting adhesive film. The results predicted by both approaches reproduced the experimental SLS results. Sensitivity analysis revealed that incorporating triaxial deformation in Mode I improved prediction accuracy. Furthermore, when the Mode I interfacial stiffness estimated using the MMK model was applied to CZM, similar improvements were observed. These findings indicate that triaxial stress in Mode I increases the apparent interfacial stiffness, enabling a more accurate representation of stress concentration in the adhesive layer.

在最近的飞机发展中，对使用热固性粘合剂的粘合接头的需求增加了，这突出了对改进强度预测技术的需求。大多数传统的方法是基于内聚区模型（CZM）；然而，很少有研究考虑到三轴应力的影响。本文提出了一种包含塑性变形和多轴应力作用下强度准则的涂抹裂纹模型。该模型采用了基于流体静力和von Mises应力的破坏准则，并采用了类似于CZM的损伤演化方法。此外，研究了一种改进的Ma-Kishimoto （MMK）模型，该模型采用界面元素来表示粘接层。该模型引入了一种考虑塑性耗散和三轴变形影响的参数辨识方法。为了验证所提出的方法，使用单向CFRP与热固性胶膜粘合进行了单搭剪（SLS）试验。两种方法的预测结果均与SLS实验结果吻合。敏感性分析表明，在模式一中加入三轴变形可以提高预测精度。此外，当使用MMK模型估计的I型界面刚度应用于CZM时，观察到类似的改善。这些发现表明，模式I下的三轴应力增加了界面表观刚度，从而能够更准确地表示粘接层中的应力集中。

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引用次数: 0

Harnessing auxetic metamaterial intelligence: Free vibration of graphene-origami curved shells with active piezo-composite skins 利用形变的超材料智能：石墨烯折纸弯曲壳与主动压电复合材料表皮的自由振动

IF 4.2 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2025-10-18 DOI: 10.1016/j.euromechsol.2025.105914

Amirhossein Termebaf Shirazi, Ali Enayati, Mohammad Arefi

The present theoretical work explores the free vibration-based investigation of sandwich shell in the doubly-curved form with a core of functionally graded auxetic metamaterial graphene origami sandwiched by piezoelectric/piezomagnetic layers. The analytical framework is based on a simplified higher-order shear deformation theory. For a simply supported, functionally graded doubly-curved shell, the governing equations are established using Hamilton's principle. A Navier-type solution technique is then applied to obtain analytical results, which form the basis for a comprehensive parametric analysis. The frequencies are obtained in terms of material/geometric parameters such as weight fraction of graphene origami, folding degree, various pattern distributions, temperature, length-to-thickness ratio, and thicknesses of piezoelectric/piezomagnetic layers relative to the core shell thickness, considering various shell types. The numerical results indicate that the

X - W_{Gr}

pattern with higher

h_{p} / h_{e}

ratios are more beneficial for high-frequency applications, showing highest frequencies, specifically when applied to higher-curvature shells. Conversely, the

V - W_{Gr}

pattern, with its asymmetric distribution contribute more lower-curvature shells like the hyperbolic and flat plate shells.

本理论工作探索了基于自由振动的双弯曲三明治壳的研究，其核心是功能梯度的auxetic超材料石墨烯折纸，夹在压电/压磁层之间。分析框架基于简化的高阶剪切变形理论。对于简支功能梯度双弯曲壳，利用Hamilton原理建立了控制方程。然后应用纳维叶解技术获得分析结果，这是全面参数分析的基础。频率是根据材料/几何参数获得的，如石墨烯折纸的重量分数、折叠程度、各种图案分布、温度、长厚比以及压电/压磁层相对于核壳厚度的厚度，考虑到各种壳类型。数值结果表明，具有较高hp/he比的X - WGr模式更有利于高频应用，特别是当应用于高曲率壳时，显示出最高的频率。相反，由于不对称分布，V−WGr模式产生了更多的低曲率壳层，如双曲壳层和平板壳层。

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引用次数: 0

A unified Mori-Tanaka/finite element approach for investigating piezoelectric ellipsoidal particle-reinforced composite energy harvesters with various configurations 采用统一的Mori-Tanaka/有限元方法研究不同结构的压电椭球颗粒增强复合材料能量收集器

IF 4.2 2区工程技术 Q1 MECHANICS

European Journal of Mechanics A-Solids

Pub Date : 2025-10-17 DOI: 10.1016/j.euromechsol.2025.105921

Navid Dastgir , Reza Ansari , Mohammad Kazem Hassanzadeh-Aghdam , Jamaloddin Jamali , Saeid Sahmani

This study investigates the vibration-based energy harvesting performance of four widely used beam configurations: unimorph, bimorph, trimorph, and sandwich beams, all subjected to identical boundary conditions. Each beam model consists of the aluminum substrate integrated with the piezocomposite layer consisting of piezoelectric ellipsoidal particles embedded within a PVDF matrix. The effective electromechanical properties of the piezocomposite are estimated using the Mori–Tanaka micromechanical scheme. For this purpose, the Mikata approach is employed to compute the Eshelby tensor enabling the micromechanical model to accommodate various matrix types, including general orthotropic materials. Furthermore, this micromechanics-based method allows for considering piezoelectric fillers of diverse geometries. Next, the vibrational energy harvesting of four cantilever-type beams is evaluated using the finite element simulation in COMSOL Multiphysics. To verify the validity of the present modeling technique, comparison studies with the available literature are performed. Parametric studies are conducted to investigate the influence of volume fraction and aspect ratio of piezoelectric fillers, configuration and detailed geometries of harvesters on the resonant frequency, output voltage, and electrical power generation under base excitation. It is observed that increasing the piezoelectric filler percentage in unimorph and bimorph beams leads to an improvement in their harvesting performance. Also, higher aspect ratios of piezoelectric fillers enhance the output voltage of harvesting systems.

在相同的边界条件下，研究了四种广泛使用的梁结构：单晶、双晶、三晶和夹层梁的基于振动的能量收集性能。每个梁模型由铝基板和压电复合材料层组成，压电复合材料层由嵌入PVDF矩阵的压电椭球粒子组成。采用Mori-Tanaka微力学方法估计了压电复合材料的有效机电性能。为此，采用Mikata方法计算Eshelby张量，使微力学模型能够适应各种矩阵类型，包括一般的正交异性材料。此外，这种基于微观力学的方法允许考虑不同几何形状的压电填料。其次，利用COMSOL Multiphysics软件进行有限元仿真，对四种悬臂梁的振动能量收集进行了评估。为了验证本模型技术的有效性，与现有文献进行了比较研究。通过参数化研究，探讨了压电填料的体积分数和长径比、收集器的结构和详细几何形状对基极激励下谐振频率、输出电压和发电量的影响。结果表明，在单晶和双晶梁中增加压电填料的比例可以提高其收获性能。此外，较高的压电填料长宽比提高了收获系统的输出电压。

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引用次数: 0