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Thermo-viscoelastic behavior of functionally graded cylindrical panels with piezoelectric sensor and actuator layers 具有压电传感器和致动器层的功能梯度圆柱形板的热粘弹性行为
IF 4.4 3区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2026-01-09 DOI: 10.1007/s43452-025-01386-1
A. Taheri Maslak, A. Alibeigloo

This study investigates the three-dimensional thermoelastic response of a functionally graded viscoelastic cylindrical panel embedded with piezoelectric layers subjected to asymmetric thermal loading. Utilizing the Boltzmann integral model to capture the viscoelastic behavior and a power-law distribution for the relaxation modulus in the radial direction, the governing equations are formulated based on full three-dimensional elasticity theory. The piezoelectric effects and the functional gradation of materials are rigorously incorporated. A combination of Laplace transform, Fourier series expansion, and state-space method is employed for analytically solving the simply-supported boundary condition, while a semi-analytical differential quadrature method (DQM) is used for more complex boundary conditions. The accuracy of the proposed method is validated through comparison with existing literature and analytical results. Parametric studies explore the effects of support conditions, time constants, opening angles, piezoelectric layer thicknesses, and other key factors on the structural response, providing insights into the design of smart FG cylindrical systems.

本文研究了非对称热载荷作用下嵌入压电层的功能梯度粘弹性圆柱板的三维热弹性响应。基于全三维弹性理论,利用玻尔兹曼积分模型捕捉粘弹性行为,并采用幂律分布描述径向松弛模量。压电效应和材料的功能级配得到了严格的结合。采用拉普拉斯变换、傅立叶级数展开和状态空间相结合的方法解析求解简支边界条件,采用半解析微分正交法(DQM)求解更复杂的边界条件。通过与已有文献和分析结果的比较,验证了所提方法的准确性。参数化研究探讨了支撑条件、时间常数、开口角度、压电层厚度等关键因素对结构响应的影响,为智能FG圆柱系统的设计提供了见解。
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引用次数: 0
Fatigue behaviour and life prediction of L-PBF-processed maraging steel under variable-amplitude loading 变幅载荷下l - pbf加工马氏体时效钢的疲劳行为及寿命预测
IF 4.4 3区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2026-01-08 DOI: 10.1007/s43452-025-01388-z
R. Branco, Z. Marciniak, P. Prates, B. Das, R. F. Martins, C. Malça

Despite its relevance to engineering design, fatigue life assessment of additively manufactured materials subjected to variable-amplitude loading remains insufficiently understood. This paper investigates the fatigue response of L-PBF-processed maraging steel subjected to strain-controlled variable-amplitude loading. The loading sequences consisted of three increasing levels followed by three decreasing levels, repeated up to failure. Strain amplitudes varying from 0.175 to 1.0%, covering a representative spectrum of cyclic deformation levels, were investigated. The cyclic stress-strain response under variable-amplitude loading was modelled with an elasto-plastic constitutive model. A numerical framework combining well-known fatigue damage parameters along with classical and modified cumulative damage laws was developed to estimate the fatigue lifetime. In addition, EBSD and SEM observations were carried to investigate the effect of strain level on failure mechanisms and grain misorientation. Regarding the proposed methodology for fatigue life assessment, Miner’s law combined with the SWT model effectively predicted the fatigue lifetime, contributing to the safe and optimised design of additively manufactured components and structures. In addition, local deformation patterns and dislocation density tend to intensify with increasing strain amplitudes, while the fracture mode changes from ductile to mixed-mode characteristics as the strain level decreases.

尽管增材制造材料在变幅载荷下的疲劳寿命评估与工程设计相关,但人们对它的理解仍然不够充分。研究了l - pbf加工马氏体时效钢在应变控制变幅加载下的疲劳响应。加载顺序依次为3个递增级和3个递减级,反复加载直至失效。应变幅值变化范围为0.175 ~ 1.0%,涵盖了循环变形水平的代表性谱。采用弹塑性本构模型对变幅加载下的循环应力-应变响应进行了建模。结合已知的疲劳损伤参数以及经典的和修正的累积损伤规律,建立了一个数值框架来估计疲劳寿命。此外,通过EBSD和SEM观察了应变水平对破坏机制和晶粒取向错误的影响。针对所提出的疲劳寿命评估方法,Miner’s law结合SWT模型有效地预测了疲劳寿命,有助于增材制造部件和结构的安全优化设计。随着应变幅值的增大,局部变形模式和位错密度趋于强化,而随着应变幅值的减小,断裂模式由延性特征向混合型特征转变。
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引用次数: 0
Pulsed operation of a DC welding power source in resistance projection welding 电阻投影焊中直流焊接电源的脉冲操作
IF 4.4 3区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-12-28 DOI: 10.1007/s43452-025-01401-5
Zygmunt Mikno, Mariusz Stepien, Wenqi Zhang, Murali Tumuluru

The effect of pulse welding current (DC, 1 kHz) on the progression of projection welding process of nuts was analysed. The study involved a comparative analysis using identical average value for pulsed DC current with continuous direct current (DCc), which is commonly used in conventional mode. The analysis was conducted for nuts featuring four trapezoidal projections, made of grade 10B21 steel (AISI1017-SORPAS library), with a projection height of 1.2 mm and an initial contact area between the projection and the sheet metal of 7.8 mm2. The second welded component was a 3.0 mm thick DC04 sheet metal. Numerical analyses in both cases were conducted using the SORPAS software. The characteristic parameters evaluated were weld strength, volume of melted material (in both the sheet and the projection), area of molten material in the contact region, welding energy, and average welding current. The results of the numerical calculations were verified experimentally. The study demonstrated the beneficial effect of pulsed welding current (DC, 1 kHz) on weld quality, particularly in terms of improved strength. It is possible to both reduce welding time and increase weld strength for pulsed DC welding. With comparable weld strength, welding time can be reduced by over 30%. In turn, for the same welding time (and thus the same energy), the weld strength can be increased by 35%.

分析了脉冲焊接电流(直流,1khz)对螺母凸焊过程进行的影响。本研究采用脉冲直流电流下的相同平均值与常规模式下常用的连续直流电流下的相同平均值进行对比分析。对具有四个梯形凸点的螺母进行了分析,凸点由10B21级钢(AISI1017-SORPAS文库)制成,凸点高度为1.2 mm,凸点与钣金之间的初始接触面积为7.8 mm2。第二个焊接部件是3.0毫米厚的DC04金属板。使用SORPAS™软件对两种情况进行数值分析。评估的特征参数是焊缝强度、熔化材料的体积(在板材和投影中)、接触区域熔化材料的面积、焊接能量和平均焊接电流。数值计算结果在实验中得到了验证。研究表明,脉冲焊接电流(直流,1khz)对焊缝质量的有益影响,特别是在提高强度方面。脉冲直流焊接既可以缩短焊接时间,又可以提高焊接强度。在同等焊接强度下,焊接时间可缩短30%以上。反过来,对于相同的焊接时间(因此相同的能量),焊接强度可提高35%。
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引用次数: 0
Hybrid wire and arc additive manufactured I-section beams: assessment of material efficiency and carbon footprint 混合电线和电弧添加剂制造的工字钢梁:材料效率和碳足迹的评估
IF 4.4 3区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-12-22 DOI: 10.1007/s43452-025-01380-7
Hannes Eichler, Bartłomiej Sawicki, Harald Kloft

Hybrid wire and arc additive manufacturing (Hybrid WAAM) offers new potentials for local customization of steel structures by adding material precisely where it is required. While the serial production of steel profiles has improved the process efficiency in construction, it is often associated with underutilization of materials, as standard beams are over dimensioned to meet the peak load demands. Hybrid-WAAM I-section beams offer a novel processing solution by combining the benefits of serial production with individualized WAAM strengthening, aiming for efficient material usage. This study evaluates the material efficiency and assesses the carbon footprint of Hybrid-WAAM I-section beams through a cradle-to-gate Life Cycle Assessment (LCA). Results indicate substantial material savings of up to 28% and reductions of CO₂ equivalent up to 27% in the most favorable cases. However, the environmental benefits of Hybrid-WAAM I-section beams depend on structural system, loading conditions and design strategy. In some scenarios, local strengthening may even result in a higher cradle-to-gate CO₂ footprint than conventional profiles. Moreover, the LCA outcomes are highly sensitive to assumptions regarding steel production and regional differences of energy sources, leading to significant variations in CO₂ equivalent estimates. As such, this study highlights that Hybrid-WAAM I-section beams can lead to eco-efficient solutions in steel construction, but the design needs to be supported by a true-to-life LCA.

混合电线和电弧增材制造(Hybrid WAAM)通过在需要的地方精确添加材料,为钢结构的本地定制提供了新的潜力。虽然钢型材的批量生产提高了施工过程的效率,但它往往与材料的利用不足有关,因为标准梁的尺寸过大,无法满足峰值荷载的要求。混合WAAM工字截面梁通过将批量生产的优势与个性化的WAAM强化相结合,提供了一种新颖的加工解决方案,旨在有效利用材料。本研究通过从摇篮到闸门的生命周期评估(LCA)来评估Hybrid-WAAM i截面梁的材料效率和碳足迹。结果表明,在最有利的情况下,可节省高达28%的材料,减少高达27%的二氧化碳当量。然而,混合- waam工字形截面梁的环境效益取决于结构体系、荷载条件和设计策略。在某些情况下,局部强化甚至可能导致从摇篮到闸门的二氧化碳足迹高于常规剖面。此外,LCA的结果对有关钢铁产量和能源区域差异的假设高度敏感,导致CO₂当量估计值的显著变化。因此,本研究强调Hybrid-WAAM工字形梁可以在钢结构中带来生态高效的解决方案,但设计需要得到真实的LCA的支持。
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引用次数: 0
A new method for minimizing anisotropy in dual-phase steel 减小双相钢各向异性的新方法
IF 4.4 3区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-12-21 DOI: 10.1007/s43452-025-01399-w
Alireza Shaabani, Roohollah Jamaati, Seyed Jamal Hosseinipour

This study was performed to minimize the mechanical anisotropy of dual-phase (DP) steels via a new method. According to the obtained microstructures, the gradual rise in the fraction of martensite was observed as the intercritical annealing time increased from 0.150 to 0.556 in 830–5 and 830–15 samples. The austenite nuclei could effectively restrict the growth of ferrite grains at elevated temperatures, reducing the average ferrite grain size from 7.8 to 6.7 µm in the 830–5 and 830–15 samples, respectively. The martensite distribution in both RD-ND and RD-TD planes gradually enhanced as a result of the formation of interconnected martensite islands with increasing soaking time in the dual-phase region. All DP samples revealed a weak texture, and the γ-fiber vanished completely after only 10 min of annealing. The Vickers hardness measurements demonstrated an increase from 226.4 ± 9.6 HV to 238.0 ± 6.7 HV and 282.2 ± 7.5 HV with increasing the intercritical annealing time from 5 to 10 min and 15 min as a result of higher martensite fraction. All DP samples revealed a continuous yielding behavior after the formation of mobile dislocations during quenching to ambient temperature. The higher martensite fraction did not enhance the strength significantly, owing to the reduction in martensite carbon content at higher annealing times. However, both 830–10 and 830–15 samples exhibited a mechanical isotropic behavior because of the weak overall texture and γ-fiber elimination. The strain-hardening curves of the DP samples exhibited a high initial strain-hardening rate and a three-stage behavior resulting from the plastic deformation of ferrite and martensite. Moreover, the increase in the martensite fraction and the reduction in ferrite grain size resulted in the higher initial work-hardening exponent of the 830–15 samples. The fractured surfaces of DP samples revealed a mixture of coarse and fine dimples, indicating a ductile fracture.

本研究通过一种新的方法来最小化双相钢的力学各向异性。从得到的显微组织来看,830-5和830-15试样的马氏体分数随着临界间退火时间从0.150增加到0.556而逐渐升高。在高温下,奥氏体核可以有效地抑制铁素体晶粒的生长,使830-5和830-15样品的平均铁素体晶粒尺寸分别从7.8µm减小到6.7µm。随着保温时间的延长,RD-ND和RD-TD两相区的马氏体分布逐渐增强,形成了相互连接的马氏体岛。DP样品的织构较弱,γ-纤维在退火10 min后完全消失。当临界间退火时间从5 ~ 10 min和15 min增加时,由于马氏体分数增加,维氏硬度从226.4±9.6 HV增加到238.0±6.7 HV和282.2±7.5 HV。在室温淬火过程中,所有DP样品在形成移动位错后表现出连续屈服行为。较高的马氏体分数并未显著提高强度,这是由于较高的退火次数降低了马氏体碳含量。然而,830-10和830-15样品均表现出力学各向同性行为,这是由于整体织构较弱和γ-纤维消除所致。DP试样的应变硬化曲线表现出较高的初始应变硬化速率和由铁素体和马氏体塑性变形引起的三阶段行为。此外,马氏体分数的增加和铁素体晶粒尺寸的减小导致830-15试样的初始加工硬化指数较高。DP样品的断口表面呈现出粗韧窝和细韧窝的混合,表明其为韧性断裂。
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引用次数: 0
Molecular dynamics simulation of ion implantation-assisted grinding of 4 H-SiC single-crystal 离子注入助磨4h - sic单晶的分子动力学模拟
IF 4.4 3区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-12-19 DOI: 10.1007/s43452-025-01397-y
Yibo Wu, Shujing Wu, Dazhong Wang, Jiapeng Chen, Yirun Song

Single-crystal silicon carbide (SiC) is recognized as a promising semiconductor material that exhibits multiple polytypes. Among these polytypes, 4 H-SiC is extensively employed in fabricating electronic devices because of its superior properties. The inherent anisotropy, high hardness, and brittleness of 4 H-SiC present significant challenges in machining. Compared to conventional grinding, ion implantation-assisted grinding enhances machining efficiency and quality; however, the individual and synergistic effects of ion implantation parameters on 4 H-SiC machining remain underexplored. In this investigation, the single-grit diamond grinding process of 4 H-SiC was examined, both with and without ion implantation, using molecular dynamics simulations. The impacts of varying ion implantation energies and doses on material modification behavior and grinding performance were assessed. Particularly, two factors determining the ion implantation dose, namely the number of implanted ions and the size of the implantation area, were considered independently. The results indicate that both the grinding force and the grinding temperature decrease with increasing implantation energy and dose. Furthermore, higher implantation energy or a greater number of implanted ions enhance material modification efficiency and removal rate. Ion implantation modification reduces machining stress and improves machining quality. When adjusting the ion implantation dose, priority should be given to changing the number of implanted ions. This study not only deepens our understanding of the mechanisms behind material removal and damage evolution but also offers a theoretical foundation for optimizing parameters in ion implantation-assisted machining.

单晶碳化硅(SiC)是一种具有多晶型的半导体材料。在这些多型中,4h - sic因其优异的性能被广泛应用于制造电子器件。4h - sic材料固有的各向异性、高硬度和脆性给其加工带来了巨大的挑战。与常规磨削相比,离子注入辅助磨削提高了加工效率和加工质量;然而,离子注入参数对4h - sic加工的个体效应和协同效应仍未得到充分研究。在本研究中,利用分子动力学模拟研究了在离子注入和不注入离子的情况下,单粒金刚石对4h - sic的磨削过程。考察了不同离子注入能量和剂量对材料改性行为和磨削性能的影响。特别考虑了两个决定离子注入剂量的因素,即注入离子的数量和注入面积的大小。结果表明:磨削力和磨削温度随注入能量和注入剂量的增加而减小;此外,更高的注入能量或更多的注入离子可以提高材料的改性效率和去除率。离子注入改性降低了加工应力,提高了加工质量。在调整离子注入剂量时,应优先考虑改变注入离子的数量。该研究不仅加深了我们对材料去除和损伤演变机制的理解,而且为离子注入辅助加工参数的优化提供了理论基础。
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引用次数: 0
Mechanical properties and mesoscopic damage mechanism of fly Ash based geopolymer concrete under heat curing 粉煤灰基地聚合物混凝土热养护力学性能及细观损伤机理
IF 4.4 3区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-12-18 DOI: 10.1007/s43452-025-01382-5
Weifeng Bai, Guanghui Suo, Junfeng Guan, Chenyang Yuan, Chaopeng Xie, Lielie Li

The influence of heat curing effect on the mechanical properties of fly ash based geopolymer concrete (FAG) is significant. The purpose of this study is to investigate the effects of curing temperature and Alkali to Binder ratio (AL/B) on the mechanical characteristics of FAG, as well as the connection between macroscopic nonlinear constitutive behavior and mesoscopic damage processes. By performing uniaxial compression tests at different curing temperatures (ambient curing at 20 °C, heat curing at 60 °C, 80 °C, 100 °C, and 120 °C) and AL/B (0.35 and 0.45), combined with nuclear magnetic resonance, scanning electron microscopy, and x-ray diffraction tests, the relationships between mechanical properties, stress-strain full curves, and microscopic features of FAG were investigated. The experimental findings showed that the peak stress and elastic modulus of FAG rose with increasing curing temperature, but the peak strain decreased. The development of N-A-S-H gel and the densification of the microstructure were crucial for improving FAG strength. The mesoscopic damage constitutive relationship of FAG was examined, correlating the deterioration trend of macroscopic mechanical properties with microstructural evolution to systematically clarify the development of FAG strength and its intrinsic deterioration mechanisms. This research established a theoretical foundation for the widespread adoption of FAG in engineering applications.

热固化效应对粉煤灰基地聚合物混凝土力学性能的影响是显著的。本研究旨在探讨固化温度和碱胶比(AL/B)对FAG力学特性的影响,以及宏观非线性本构行为与细观损伤过程的关系。通过不同固化温度(20°C环境固化、60°C、80°C、100°C和120°C热固化)和AL/B(0.35和0.45)下的单轴压缩试验,结合核磁共振、扫描电镜和x射线衍射试验,研究了FAG的力学性能、应力-应变全曲线和微观特征之间的关系。实验结果表明,FAG的峰值应力和弹性模量随固化温度的升高而升高,而峰值应变则降低。N-A-S-H凝胶的发展和微观结构的致密化是提高FAG强度的关键。研究了FAG的细观损伤本构关系,将宏观力学性能的劣化趋势与微观组织演变联系起来,系统地阐明了FAG强度的发展及其内在劣化机制。本研究为FAG在工程上的广泛应用奠定了理论基础。
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引用次数: 0
Deformation mechanisms of austenitic stainless steel sheets under cryogenic pre-strainings 奥氏体不锈钢薄板在低温预应变下的变形机理
IF 4.4 3区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-12-15 DOI: 10.1007/s43452-025-01390-5
Yuandong Yin, Wangjun Cheng, Hong Jiang, Haidong Jia

An experimental study was conducted to examine the uniaxial tensile and biaxial bulging behavior of 304 austenitic stainless steel (ASS) to elucidate its strain-hardening characteristics at cryogenic temperature (CT). Scanning electron microscopy (SEM) and electron backscatter diffraction (EBSD) analyses were employed to quantitatively correlate the macroscopic deformation properties with microstructural evolution. Furthermore, ASS samples with pre-strains of 5%, 15%, and 25% were prepared at both room temperature (RT) and CT, which was then followed by tensile testing at CT. The results revealed that the yield strength (YS) of ASS increased with increasing pre-strain at CT, exhibiting a reduction in ductility. Notably, the YS of cryogenically pre-strained samples increased by 15.4%, 26.5%, and 33.8%, respectively, compared with those pre-strained at RT. Under biaxial loading, the bulging load of ASS also increased with decreasing temperature. The highest hardness values were consistently observed at the bulge apex and increased with increasing bulge height. Consequently, the enhanced YS primarily increased from martensitic transformation and dislocation strengthening during cryogenic pre-strainings. The findings of this study offered valuable insights for optimizing the lightweight design and improving the operational safety of cryogenic storage tanks.

对304奥氏体不锈钢(ASS)的单轴拉伸和双轴胀形行为进行了实验研究,以阐明其在低温下的应变硬化特性。采用扫描电镜(SEM)和电子背散射衍射(EBSD)分析,定量分析了宏观变形性能与微观组织演变之间的关系。在室温(RT)和CT下分别制备预应变为5%、15%和25%的ASS样品,然后在CT下进行拉伸试验。结果表明,随着预应变的增加,钢的屈服强度(YS)增加,塑性降低;值得注意的是,低温预应变试样的YS比室温预应变试样分别提高了15.4%、26.5%和33.8%。双轴加载下,ASS的胀形载荷也随着温度的降低而增加。最高的硬度值一致出现在凸起顶点,并随着凸起高度的增加而增加。因此,低温预应变过程中强化的YS主要来源于马氏体相变和位错强化。研究结果为优化低温储罐的轻量化设计和提高低温储罐的运行安全性提供了有价值的见解。
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引用次数: 0
Effects of velocity ratios and strain paths on the microstructures and mechanical properties of Al-Li alloy during asymmetric rolling 速度比和应变路径对非对称轧制Al-Li合金组织和力学性能的影响
IF 4.4 3区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-12-15 DOI: 10.1007/s43452-025-01396-z
Daoguang He, Liangjie Jiang, Jinchuan Long, Y. C. Lin

In this work, the asymmetric rolling (ASR) is employed to improve the formability of 2195 Al-Li alloy, which has been widely used in the aerospace and automobile fields. The microstructures and mechanical properties of 2195 Al-Li alloy in ASR under different velocity ratios and strain paths are explored through experimental characterization. Compared with conventional rolling, ASR can effectively refine the grain. As the velocity ratio increases, the average grain size gradually decreases, and the surface grain contacted with the faster roll is finer, which can be attributed to more severe shear deformation. The complex strain path will increase the shear component. Under the same velocity ratio, the grain refinement effect of double-direction asymmetrical rolling is more significant. Moreover, the shear component generated by ASR causes some textures to deviate or split from the ideal positions. Most of the recrystallization textures are eliminated. During ASR, the rolling texture of the surface in contact with the faster roll tends to evolve into the shear texture. In terms of improving the uniformity of microstructure, adjusting the velocity ratio is more effective than changing the strain path. The grain size and texture of the top and inner layers of the ASR sheet with a velocity ratio of 1.8 are closer. These findings provide theoretical guidance for achieving high-performance manufacturing of Al-Li alloy components.

采用非对称轧制(ASR)技术提高了2195铝锂合金的成形性能,该合金已广泛应用于航空航天和汽车等领域。通过实验表征,探讨了不同速度比和应变路径下ASR中2195 Al-Li合金的显微组织和力学性能。与常规轧制相比,ASR能有效细化晶粒。随着速比的增大,平均晶粒尺寸逐渐减小,与速度较快的轧辊接触的表面晶粒更细,这可以归因于更严重的剪切变形。复杂的应变路径会增加剪切分量。在相同速度比下,双向不对称轧制的晶粒细化效果更为显著。此外,ASR产生的剪切分量会导致一些纹理偏离或脱离理想位置。大部分再结晶织构被消除。在ASR过程中,与快速辊接触的表面的滚动织构倾向于演变为剪切织构。在提高组织均匀性方面,调整速度比改变应变路径更有效。速度比为1.8的ASR板材的上、内层晶粒尺寸和织构更接近。这些研究结果为实现铝锂合金部件的高性能制造提供了理论指导。
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引用次数: 0
Bending and vibration responses of multi-directional FG porous unified shear plates with thickness stretch 具有厚度拉伸的多向FG多孔统一剪切板的弯曲和振动响应
IF 4.4 3区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-12-15 DOI: 10.1007/s43452-025-01371-8
S. A. Mohamed, M. A. Eltaher, R. A. Shanab, A. E. Assie, Rasha Abo-bakr

This article presented a comprehensive and accurate nonlinear mathematical model to analyze the mechanical response of multi-directional functionally graded material porous (MDFGMP) plates, for the first time. The model includes a differential quadrature method (DQM) with a quasi-3D theory to investigate bending and vibration responses MDFGMP plates. A nonlinear quasi-3D plate theory is exploited to present the kinematic fields including the effect of normal strain, thickness stretching, and satisfy the zero-shear strain/stress at the top and bottom surfaces without shear correction factor. The power 3D function distribution is used to portray gradation of material constituents through thickness and in-plane directions. Two types of porosity are selected to describe the distribution of voids and cavities through the thickness of the plate. Hamilton’s principle is employed to derive the nonlinear governing differential equations of motions in terms of stress resultants. The differential integral quadrature method (DIQM) is manipulated to discretize the structure spatial domains. The accuracy and reliability of the proposed method have been validated by comparing its numerical results to those of available works. Parametric studies are provided to exhibit the significant impacts of kinematic normal and shear relations, gradation indices, porosity type, and boundary conditions on MDFGMP plates. It is found that frequency mode shapes are symmetric for homogeneous plates but exhibit non-symmetric profiles if the material properties change in the in-plane directions. In contrast, changing material properties in the thick direction, although changing the frequencies, it preserves symmetric mode shape patterns. The present model and results can be implemented as benchmarks for future nonlinear mechanical response of MFGMP plates structures. The proposed model can be implemented in selection and design of the nuclear reactors, marine and aerospace structures manufacture from MDFGMP plates.

本文首次建立了一个全面准确的非线性数学模型来分析多向功能梯度材料多孔(MDFGMP)板的力学响应。该模型采用准三维理论的微分正交法(DQM)来研究MDFGMP板的弯曲和振动响应。利用非线性准三维板理论,给出了包括法向应变、厚度拉伸影响在内的运动场,并在没有剪切校正因子的情况下满足上下表面的零剪切应变/应力。利用三维幂函数分布来描述材料成分在厚度和面内方向上的渐变。选择两种类型的孔隙率来描述孔隙和空腔在板厚中的分布。利用哈密顿原理,推导出基于应力结果的非线性运动控制微分方程。利用微分积分正交法(DIQM)实现了结构空间域的离散化。通过与已有文献的数值结果对比,验证了所提方法的准确性和可靠性。参数研究显示了运动法向和剪切关系、级配指数、孔隙类型和边界条件对MDFGMP板的显著影响。研究发现,对于均匀板,频率模态振型是对称的,但如果材料特性在平面方向上发生变化,则呈现出非对称的轮廓。相反,在厚度方向上改变材料特性,虽然改变了频率,但它保持了对称模态形状。本文的模型和结果可作为今后MFGMP板结构非线性力学响应的基准。该模型可用于核反应堆、船舶和航空航天用MDFGMP板制造结构的选择和设计。
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引用次数: 0
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Archives of Civil and Mechanical Engineering
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