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A nonlocal thermoelastic diffusion model with dual relaxation and length-scale effects: analytical solution for spherical cavities under transient loading 具有双松弛和长度尺度效应的非局部热弹性扩散模型:瞬态载荷下球腔的解析解
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2026-01-03 DOI: 10.1007/s10999-025-09857-2
Ahmed Abouelregal, Marin Marin, Salman Alsaeed

Classical thermoelastic-diffusion theories are inadequate at micro- and nanoscales because they assume instantaneous local response of heat and mass fluxes, predict infinite propagation speeds, and completely neglect long-range microstructural interactions. This paper introduces the first thermodynamically consistent theoretical framework that simultaneously overcomes all three limitations: it extends the Lord–Shulman generalized theory by incorporating nonlocal heat conduction of Guyer–Krumhansl type with its own thermal length scale, a newly proposed nonlocal mass-diffusion law governed by an independent diffusive length scale, and separate phase-lag relaxation times for thermal and chemical-potential gradients. The model is analytically solved for an infinite isotropic solid containing a traction-free spherical cavity subjected to a pulsed thermal shock and an exponentially decaying chemical potential at the inner surface. Numerical results for copper reveal three striking physical effects that are entirely absent in all previous local and single-nonlocality models: temperature and concentration disturbances penetrate far deeper into the material while their spatial gradients become remarkably smoother; peak displacements and thermoelastic stresses are reduced by more than half; and the coupled thermo-elasto-diffusive waves experience significantly stronger attenuation throughout the medium. These distinctive size-dependent phenomena originate from long-range interactions among energy carriers and diffusing species. The proposed framework therefore enables accurate performance prediction and deliberate microstructural tailoring in modern nanoscale devices, offering substantially improved reliability for MEMS thermal actuators, faster hydrogen charging in metallic microspheres, safer laser-triggered drug-release nanocapsules, and reduced thermoelastic losses in high-frequency nanoresonators.

经典的热弹性扩散理论在微观和纳米尺度上是不充分的,因为它们假设了热量和质量通量的瞬时局部响应,预测了无限的传播速度,并且完全忽略了远程微观结构的相互作用。本文介绍了第一个热力学一致的理论框架,同时克服了这三个限制:它扩展了Lord-Shulman广义理论,通过纳入具有自身热长度尺度的Guyer-Krumhansl型非局部热传导,新提出的由独立扩散长度尺度控制的非局部质量扩散定律,以及热势和化学势梯度的单独相滞后松弛时间。对具有无牵引力球腔的无限各向同性固体内表面化学势呈指数衰减的脉冲热冲击模型进行了解析求解。铜的数值结果揭示了三种显著的物理效应,这些效应在所有以前的局部和单非局部模型中完全没有:温度和浓度扰动深入到材料中,而它们的空间梯度变得非常平滑;峰值位移和热弹性应力减少了一半以上;耦合热弹性扩散波在整个介质中衰减明显更强。这些独特的大小依赖现象源于能量载体和扩散物种之间的远距离相互作用。因此,所提出的框架能够在现代纳米级器件中实现准确的性能预测和精心的微结构定制,大大提高了MEMS热致动器的可靠性,加快了金属微球中的氢充电速度,更安全的激光触发药物释放纳米胶囊,并减少了高频纳米谐振器中的热弹性损失。
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引用次数: 0
Analysis of chip morphology and burr size prediction in micro-milling of dual-phase titanium alloys 双相钛合金微铣削切屑形貌分析及毛刺尺寸预测
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-12-29 DOI: 10.1007/s10999-025-09825-w
HaiYue Zhao, Yan Cao, Zheng Cong, WeiLiang He, Jiang Du, Hui Yao

Micro machining technology has rapidly developed with the widespread application of miniature components. Chip morphology and burr size are critical indicators for assessing the surface topography in micro machining. However, the evaluation criteria established for macroscopic cutting conditions are no longer applicable in this context. To investigate the effects of cutting parameters on chip morphology and burr size under micro-machining conditions, a typical dual-phase titanium alloy is selected as the workpiece for the micro milling study. First, a physical micro milling experimental platform is established. Next, based on a single-factor experimental approach, the influence of cutting parameters on chip morphology and burr size is analyzed. Finally, top burrs height prediction model of the down and up milling is developed using the SSA-LSSVM algorithm. The results indicate that the cutting depth has a minimal effect on chip morphology. However, as the feed per tooth increases, fine crack-like features become more prominent along the edges of the chips. The cutting depth primarily affects the top burr size in down milling, while the feed per tooth has the least. The prediction accuracy of the SSA-LSSVM models for both the down and up milling reaches 90%, with the maximum prediction errors being 14.2 and 15.1%, respectively. This prediction model can effectively guide the complex nonlinear mapping relationship between cutting parameters and burr size. The research results provide theoretical and experimental basis for the analysis of chip morphology and burr size prediction in micro-milling of dual-phase alloys.

随着微型零件的广泛应用,微加工技术得到了迅速发展。切屑形貌和毛刺尺寸是评价微加工表面形貌的重要指标。然而,为宏观切削条件建立的评价标准已不再适用于这种情况。为研究微加工条件下切削参数对切屑形貌和毛刺尺寸的影响,选择典型双相钛合金作为微铣削工件进行微铣削研究。首先,建立了物理微铣削实验平台。其次,基于单因素实验方法,分析了切削参数对切屑形貌和毛刺尺寸的影响。最后,利用SSA-LSSVM算法建立了上下铣削顶毛刺高度预测模型。结果表明,切削深度对切屑形貌的影响最小。然而,随着每齿进给量的增加,沿着切屑边缘的细裂纹样特征变得更加突出。下铣削时,切削深度对顶毛刺尺寸的影响最大,而单齿进给对顶毛刺尺寸的影响最小。SSA-LSSVM模型对上下铣削的预测精度均达到90%,最大预测误差分别为14.2%和15.1%。该预测模型可以有效地指导切削参数与毛刺尺寸之间复杂的非线性映射关系。研究结果为双相合金微铣削切屑形貌分析和毛刺尺寸预测提供了理论和实验依据。
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引用次数: 0
Hybrid dynamic modeling and characteristic analysis of helicopter tail drive systems 直升机尾翼驱动系统混合动力学建模与特性分析
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-12-27 DOI: 10.1007/s10999-025-09847-4
Jiayi Ren, Sunquan Mao, Wenbin Pan, Fengxia Lu

The engine power is transmitted to the tail rotor via the tail drive shaft system without redundancy. Characterized by complex structure, long shafts, and intricate vibration behaviors, excessive vibration-induced failure may lead to uncontrolled drivetrain dynamics, severely compromising flight safety. This study incorporates internal excitations of spiral bevel gears in intermediate and tail reducers. A 162-degree-of-freedom (DOF) dynamic model is established using hybrid finite element and lumped-mass modeling techniques, discretizing the system into shaft segment unit, gear unit, and bearing-casing unit. The nonlinear dynamics are solved through combined Newmark-β and conjugate gradient methods, yielding nodal shaft trajectories and vibration accelerations. Experimental validation on reducer test benches demonstrates a maximum 14.01% deviation between simulations and measurements, confirming model validity.

发动机动力通过尾传动轴系统传递到尾桨,无冗余。由于结构复杂、轴长、振动特性复杂,过度的振动诱发故障可能导致动力传动系统动力学失控,严重影响飞行安全。本研究结合了中间和尾减速器中螺旋锥齿轮的内部激励。采用有限元和集总质量混合建模技术,建立了该系统的162自由度动力学模型,将其离散为轴段单元、齿轮单元和轴承-机匣单元。通过结合Newmark-β和共轭梯度法求解非线性动力学,得到轴节点轨迹和振动加速度。在减速器试验台进行的实验验证表明,仿真结果与实测值偏差最大达14.01%,验证了模型的有效性。
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引用次数: 0
Function-based parametric design of additively manufactured graded cellular structures for mechanical and thermal performance 基于功能的增材制造梯度胞状结构力学和热性能参数化设计
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-12-27 DOI: 10.1007/s10999-025-09820-1
Quan Yuan, Yongjian Fang, Min-Kyeom Kim, Ziyang Duan, Yali Zhang, Jonghwan Suhr

Graded cellular structures have attracted increasing attention for lightweight and multifunctional applications. However, most existing gradation definitions are qualitative, limiting systematic exploration of their potential in multifunctional design. This study proposes a function-based parametric strategy to tailor the mechanical and thermal performance of two-dimensional (2D) graded cellular structures. By parameterizing key geometric features of regularly patterned structures with mathematical functions, both the dimensionless elastic modulus (E*) and the dimensionless thermal conductivity (K*) can be effectively tuned at a fixed overall infill porosity (P). Comparative analyses highlight the critical roles of porosity and the gradation function form. At P = 40%, quadratic gradations expand the tunable performance range by up to 50% relative to linear gradations. Furthermore, quadratic-graded structures achieve up to 2.1-fold wider tunability in E* and 3.7-fold in K* compared with randomly patterned counterparts, which exhibit narrower, near-normal performance distributions. To address trade-offs in multifunctional design, the Non-dominated Sorting Genetic Algorithm II (NSGA-II) is used to optimize the gradation coefficients. The resulting Pareto fronts show an approximately linear trade-off between E* and K* under the same gradation strategy, revealing promising sub-regions for high-stiffness, low-thermal-conductivity designs. Overall, this work offers a computationally light, physically interpretable approach for the multifunctional design of graded cellular structures, with strong potential for applications in thermal protection, energy absorption, and architected metamaterials.

分级细胞结构以其轻量化和多功能化的应用日益受到人们的关注。然而,大多数现有的渐变定义都是定性的,限制了对其在多功能设计中的潜力的系统探索。本研究提出了一种基于函数的参数化策略来定制二维(2D)梯度细胞结构的机械和热性能。通过用数学函数参数化规则结构的关键几何特征,可以在固定的整体填充孔隙度(P)下有效地调整无因次弹性模量(E*)和无因次导热系数(K*)。对比分析强调了孔隙度和级配函数形式的关键作用。在P = 40%时,相对于线性渐变,二次渐变可将可调性能范围扩展至多50%。此外,与表现出更窄、接近正态分布的随机模式相比,二次梯度结构在E*中的可调性提高了2.1倍,在K*中的可调性提高了3.7倍。为了解决多功能设计中的权衡问题,使用非支配排序遗传算法II (NSGA-II)来优化渐变系数。由此产生的帕累托锋面在相同的梯度策略下显示出E*和K*之间的近似线性权衡,揭示了高刚度,低导热设计的有前途的子区域。总的来说,这项工作为分级细胞结构的多功能设计提供了一种计算轻、物理可解释的方法,在热防护、能量吸收和建筑超材料方面具有很强的应用潜力。
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引用次数: 0
Fully coupled modeling for static and dynamic analysis of thermo-magneto-electro-elastic plates 热磁电弹性板静、动态分析的全耦合建模
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-12-27 DOI: 10.1007/s10999-025-09834-9
Shun-Qi Zhang, Shen-Yun Qian, Shen Liu, Chun-Yan Ling, Song-Yun Ma

Magneto-electro-elastic (MEE) materials with integrated sensory and actuation functions have promising application potentials in the spacecraft and automotive engineering. The deformation of MEE structures in temperature varying environments leads to a thermo-magneto-electro-elastic coupled problem. However, most studies considered temperature changes as a thermal load. This unidirectional coupling misses thermal changes due to structural deformations. This study establishes a thermo-magneto-electro-elastic fully coupled finite element (FE) model for MEE plates based on the first-order shear deformation (FOSD) theory. The proposed eight-node Serendipity plate/shell elements for MEE structures incorporate five displacement DOFs per node, and one electric, one magnetic and one temperature DOF per element. The present FE model is first analyzed for mesh convergence. Subsequently, the static and dynamic responses of MEE plates under mechanical, electric, and magnetic loads are investigated. The numerical results, including displacements and temperature fields, are compared with COMSOL simulations. The comparative results indicate that the model has good accuracy in predicting the impact of structural deformations on the temperature field.

具有传感和驱动功能的磁电弹性材料在航天器和汽车工程中具有广阔的应用前景。MEE结构在变温环境中的变形导致热-磁-电-弹耦合问题。然而,大多数研究将温度变化视为热负荷。这种单向耦合忽略了由于结构变形引起的热变化。基于一阶剪切变形(FOSD)理论,建立了MEE板的热-磁-电弹性全耦合有限元模型。提出的用于MEE结构的八节点Serendipity板壳单元每个节点包含五个位移自由度,每个单元包含一个电自由度、一个磁自由度和一个温度自由度。首先分析了该有限元模型的网格收敛性。随后,研究了MEE板在机械、电和磁载荷作用下的静态和动态响应。数值结果包括位移场和温度场,并与COMSOL模拟结果进行了比较。对比结果表明,该模型能较好地预测结构变形对温度场的影响。
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引用次数: 0
Dispersion characteristics of Love-type waves in PFRC–piezoelectric interfaces with electric membrane and classical spring coupling 具有电膜和经典弹簧耦合的pfrc -压电界面中love型波的色散特性
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-12-26 DOI: 10.1007/s10999-025-09822-z
Kshitish Ch. Mistri, Ayman Alneamy, Amrita Das, Sayantan Guha, Mohammed Tharwan

The propagation of Love-type waves in composite structures has significant implications for wave-based sensing, energy harvesting, and structural health monitoring. This study investigates the effect of an electric membrane and a classical spring on Love-type wave propagation at the common interface of a piezoelectric fiber-reinforced composite (PFRC) layer comprising a PZT-5A-epoxy combination and a piezoelectric substrate. Utilizing a mathematical model incorporating interface conditions, the wave dispersion characteristics are examined under different bonding scenarios, such as perfect, spring-type, membrane-type, and combined spring-membrane type interfaces. Numerical analysis is conducted to elucidate the influence of material properties, bonding parameters, and interface stiffness on phase velocity. The results show that the presence of a thin electric membrane and a classical spring significantly alters Love-type wave behavior, providing opportunities for optimizing wave control in smart materials and non-destructive evaluation systems. These findings contribute to the advancement of wave manipulation techniques in engineered composite structures and the design of surface acoustic wave (SAW) devices like Love wave sensor, which have gained traction in advanced defence systems due to their robustness, sensitivity, and passive operation.

love型波在复合材料结构中的传播对基于波的传感、能量收集和结构健康监测具有重要意义。本研究研究了电膜和经典弹簧对压电纤维增强复合材料(PFRC)层(由pzt - 5a -环氧树脂复合物和压电基板组成)共同界面上love型波传播的影响。利用结合界面条件的数学模型,研究了完美界面、弹簧界面、膜界面和弹簧-膜复合界面下的波频散特性。数值分析了材料性能、结合参数和界面刚度对相速度的影响。结果表明,薄电膜和经典弹簧的存在显著改变了love型波的行为,为优化智能材料和无损评估系统中的波控制提供了机会。这些发现有助于工程复合材料结构中波浪操纵技术的进步,以及表面声波(SAW)设备(如Love波传感器)的设计,这些设备由于其鲁棒性、灵敏度和被动操作而在先进的防御系统中获得了牵引力。
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引用次数: 0
Microstructure, tribological and corrosion-resistance properties of WC-DLC/DLC multilayer coatings with varying modulation periods on Cu–Sn alloy substrates Cu-Sn合金基底上不同调制周期WC-DLC/DLC多层涂层的显微组织、摩擦学和耐蚀性能
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-12-26 DOI: 10.1007/s10999-025-09844-7
Xinxiu Yu, Shuangshuang Yu, Duosheng Li, Qing H. Qin, Yin Ye, Qi’an Huang

This study aimed to enhance the tribological and corrosion-resistance properties of copper-tin (Cu–Sn) alloy substrates by developing multilayer diamond-like carbon (DLC) coatings with different modulation periods. Gradient transition layers (Cr and Cr-WC composite) were first deposited, followed by WC-DLC/DLC coatings with four modulation periods (1, 2, 3, and 4) on the Cu–Sn substrates. The microstructure, tribological behavior, and corrosion resistance of the coatings were systematically investigated. Results indicate that the modulation period significantly affects both tribological and corrosion properties. The coating with two modulation periods demonstrated the best performance, exhibiting high bonding strength and a low friction coefficient of 0.044. This tribological improvement is attributed to an optimized internal structure, which, despite a slightly lower sp3 content (38.8%), effectively resists wear and spalling. Additionally, its corrosion current density is only 9.16 × 10–8 A/cm2, two orders of magnitude lower than the other coatings, indicating superior corrosion resistance. These results suggest that DLC coatings with appropriately designed modulation periods develop a dense microstructure with minimal defects, which is a key factor in enhancing corrosion resistance.

本研究旨在通过开发具有不同调制周期的多层类金刚石(DLC)涂层来提高铜锡(Cu-Sn)合金基体的摩擦学和耐腐蚀性能。首先在Cu-Sn基底上沉积梯度过渡层(Cr和Cr- wc复合材料),然后在Cu-Sn基底上沉积具有4个调制周期(1,2,3,4)的WC-DLC/DLC涂层。系统地研究了涂层的显微组织、摩擦学性能和耐蚀性。结果表明,调制周期对摩擦磨损性能和腐蚀性能均有显著影响。两个调制周期的涂层性能最好,具有较高的结合强度和较低的摩擦系数(0.044)。这种摩擦学性能的改善归功于优化的内部结构,尽管sp3含量略低(38.8%),但有效地抵抗了磨损和剥落。腐蚀电流密度仅为9.16 × 10-8 A/cm2,比其他涂层低2个数量级,具有较好的耐蚀性。这些结果表明,适当设计调制周期的DLC涂层具有致密的微观组织和最小的缺陷,这是提高耐蚀性的关键因素。
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引用次数: 0
Optimization of ring shell structures with multiple flexoelectric actuators based on sequential quadratic programming 基于顺序二次规划的多柔性电动执行器环壳结构优化
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-12-25 DOI: 10.1007/s10999-025-09850-9
Yiming Li, Jie Zhang, Mu Fan, Zhongmin Xiao

This study presents a multi-channel design and optimization framework for active vibration control of ring shell structures using flexoelectric actuators. The novelty of this work is three-fold: (i) a coupled electromechanical dynamic model that captures both membrane and bending responses of a freely floating ring under localized flexoelectric actuation; (ii) a practical actuation mechanism based on AFM-probe–generated nonuniform electric fields to produce highly localized converse-flexoelectric driving forces; and (iii) a multi-objective Sequential Quadratic Programming (SQP) procedure that simultaneously optimizes actuator positions and drive voltages to minimize a physically motivated roundness function measuring deviation from circularity. Numerical case studies for a ring (radius 0.05 m, thickness 0.001 m; flexoelectric patch thickness 50 μm; AFM tip radius 50 nm; actuation voltages up to 10 V) demonstrate that the SQP routine robustly identifies actuator configurations that cancel overall vibration across multiple excited modes, yielding near-zero residual deformation where single-channel schemes fail. We further show that the optimal actuator distributions obey cyclotomic-polynomial symmetry and that control benefit saturates as the actuator count increases (computational cost also rises), indicating an effective practical range for actuator number. The approach offers a systematic route for precision deformation control in ring-shaped micro- and nano-devices and informs design choices for multi-actuator flexoelectric systems.

提出了一种基于柔性电动执行器的环壳结构振动主动控制的多通道设计与优化框架。这项工作的新颖之处在于三个方面:(i)一个耦合的机电动态模型,可以捕获局部柔性电动驱动下自由浮动环的膜和弯曲响应;(ii)基于原子力显微镜探针产生的非均匀电场的实用驱动机构,以产生高度局域化的反挠性电力驱动力;(iii)多目标顺序二次规划(SQP)程序,该程序同时优化致动器位置和驱动电压,以最小化物理驱动圆度函数测量与圆度的偏差。一个环(半径0.05 m,厚度0.001 m,挠性电贴片厚度50 μm, AFM针尖半径50 nm,驱动电压高达10 V)的数值案例研究表明,SQP程序可以鲁棒地识别执行器配置,消除多个激励模式下的整体振动,在单通道方案失败时产生接近零的残余变形。我们进一步表明,最优驱动器分布服从环-多项式对称,并且随着驱动器数量的增加(计算成本也增加),控制效益趋于饱和,表明驱动器数量的有效实用范围。该方法为环形微纳米器件的精密变形控制提供了系统的途径,并为多致动器柔性电气系统的设计选择提供了指导。
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引用次数: 0
Nonlocal viscoelastic medium approach to free vibrations of modified Jeffreys viscoelastic nanobeams 改性Jeffreys粘弹性纳米梁自由振动的非局部粘弹性介质方法
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-12-25 DOI: 10.1007/s10999-025-09840-x
Hayrullah Gün Kadıoğlu, Mustafa Özgür Yaylı

In this study, the free vibration behavior of a viscoelastic nanobeam resting in a nonlocal viscoelastic medium is analytically investigated using the Navier solution method. A modified Jeffreys-type viscoelastic model, consisting of one elastic and two viscous elements, is employed to more accurately represent the time-dependent and hereditary mechanical behavior of the beam material. The equations of motion are formulated by combining stress-driven model and, nonlocal elasticity theory for viscoelastic foundation. These are coupled with the modified Jeffreys model to derive a generalized differential equation that captures both stress-driven effects and nonlocal viscoelastic interactions within a unified analytical framework. Unlike conventional studies limited to classical viscoelastic formulations, this work introduces an enhanced viscoelastic model to describe viscoelastic nanobeam dynamics under the influence of a nonlocal viscoelastic foundation, providing a more realistic depiction of nanoscale structural behavior. The analytical closed-form solutions obtained allow a detailed investigation of how scale effects, viscous damping, and foundation parameters influence the dynamic response characteristics of viscoelastic nanobeams. This theoretical contribution highlights that the dynamic behavior of nanobeams is strongly governed by the coupled effects of nonlocal elasticity and advanced viscoelasticity, offering new insights into nanoscale material modeling and providing a valuable analytical benchmark for future nanomechanical system designs.

本文采用Navier解法对粘弹性纳米梁在非局部粘弹性介质中的自由振动行为进行了分析研究。采用由一个弹性单元和两个粘性单元组成的改进的jeffreys型粘弹性模型,更准确地描述了梁材料的时变和遗传力学行为。将应力驱动模型与粘弹性地基的非局部弹性理论相结合,建立了粘弹性地基的运动方程。这些与改进的Jeffreys模型相结合,得出了一个广义微分方程,该方程在统一的分析框架内捕获了应力驱动效应和非局部粘弹性相互作用。与传统研究局限于经典粘弹性公式不同,这项工作引入了一种增强的粘弹性模型来描述非局部粘弹性基础影响下的粘弹性纳米梁动力学,提供了更真实的纳米尺度结构行为描述。所获得的解析封闭解允许详细研究尺度效应、粘性阻尼和基础参数如何影响粘弹性纳米梁的动态响应特性。这一理论贡献强调了纳米梁的动态行为受到非局部弹性和先进粘弹性耦合效应的强烈控制,为纳米尺度材料建模提供了新的见解,并为未来的纳米力学系统设计提供了有价值的分析基准。
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引用次数: 0
Dynamic Stability Analysis of Laminated Composite Plates Using Meshless Methods 基于无网格法的复合材料层合板动力稳定性分析
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-12-25 DOI: 10.1007/s10999-025-09838-5
Houshyar Eimani kalehsar, Arian DarvishaliNezhad

This study presents a comprehensive investigation into the dynamic stability analysis of laminated composite plates using meshless methods, particularly the Radial Point Interpolation Method (RPIM). Laminated composite plates are widely utilized in civil and aerospace engineering due to their exceptional properties, including high strength-to-weight ratios, lightweight nature, and tailorable anisotropic behavior. However, analyzing their dynamic stability poses significant challenges due to geometric nonlinearities and critical responses under time-varying loading conditions. In this research, RPIM is integrated with higher-order shear deformation theories, specifically the Third-Order Shear Deformation Theory (TSDT) and Classical Plate Theory (CPT), to model complex plate behaviors under diverse dynamic loadings, such as periodic, moving, and combined loads. The influence of critical parameters, including fiber orientation, number of layers, thickness-to-width ratio, boundary conditions, and elastic modulus ratio, on the primary dynamic instability region is thoroughly examined. The results demonstrate that the combination of RPIM and TSDT yields highly accurate predictions of natural frequencies and critical buckling loads, particularly for thick plates where shear deformation effects are pronounced. The primary innovation lies in a robust computational framework leveraging meshless methods for greater geometric flexibility and computational efficiency; benchmark tests show RPIM achieves ~ 20–30% faster computation than FEM for comparable accuracy. Increasing the length-to-thickness ratio and elastic modulus ratio shifts the dynamic instability region to higher excitation frequencies, enhancing structural stability. This work advances the understanding of nonlinear dynamic stability phenomena in laminated composites and offers a robust computational framework for future studies in structural mechanics.

本研究采用无网格方法,特别是径向点插值法(RPIM),对层合复合材料板的动力稳定性分析进行了全面的研究。层压复合材料板由于其特殊的性能,包括高强度重量比、轻量化和可定制的各向异性行为,在民用和航空航天工程中得到广泛应用。然而,由于几何非线性和时变载荷条件下的临界响应,对其动态稳定性分析提出了重大挑战。在本研究中,RPIM与高阶剪切变形理论,特别是三阶剪切变形理论(TSDT)和经典板理论(CPT)相结合,模拟了不同动力载荷下的复杂板的行为,如周期荷载、移动荷载和组合荷载。研究了纤维取向、层数、厚宽比、边界条件和弹性模量比等关键参数对初级动态失稳区的影响。结果表明,RPIM和TSDT的结合可以非常准确地预测固有频率和临界屈曲载荷,特别是对于剪切变形影响明显的厚板。主要创新在于稳健的计算框架,利用无网格方法获得更大的几何灵活性和计算效率;基准测试表明,在同等精度下,RPIM的计算速度比FEM快20-30%。增加长厚比和弹性模量比,使动力失稳区向更高的激励频率移动,增强了结构的稳定性。这项工作促进了对层合复合材料非线性动力稳定性现象的理解,并为未来的结构力学研究提供了一个强大的计算框架。
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引用次数: 0
期刊
International Journal of Mechanics and Materials in Design
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