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Form-finding of thermal-adaptive pin-bar assemblies based on eigenvalue modification 基于特征值修正的热适应性销杆组件的形状搜索
IF 6.3 2区 材料科学 Q1 Engineering Pub Date : 2024-06-08 DOI: 10.1016/j.compstruct.2024.118275
Hongchuang Liu, Hua Deng

Lattice structures with tunable expansion properties have been investigated in multidisciplinary fields to control the temperature effects of structures or materials. The expected thermal adaptivity can be achieved by optimizing the structural geometry. A novel method for the form-finding of thermal-adaptive pin-bar assemblies is developed in this paper by considering the control of structural temperature effects as the minimization of the potential energy of the system. Based on the stationarity condition of the potential energy with respect to the nodal coordinates, the compatibility relationship between the thermal elongations of members and the target nodal displacements is proven to be the sufficient and necessary condition for structural thermal adaptivity. The solvability of the compatibility equation is determined by the rank equality between the compatibility matrix and its augmented form, which can be measured by the number of nonzero eigenvalues of its Gramian matrix. The analytical relationship between the eigenvalues of the Gramian matrix and the nodal coordinates is established using the matrix perturbation theory. A numerical strategy based on Newton’s method is proposed in which the eigenvalues are gradually modified by adjusting the nodal coordinates until the rank equality is satisfied. To address the existence of multiple solutions with structural thermal adaptivity, structural symmetry and periodicity constraints are introduced to narrow the solution space. The thermal-adaptive configurations of three illustrative pin-bar assemblies are analyzed using the proposed form-finding method, and the expected thermal deformations are verified for the obtained configurations using the finite element software ABAQUS. Comparing the results obtained by the proposed method with those obtained by nonlinear programming and the genetic algorithm validates the advantages of the proposed method in terms of computational time, optimality of the obtained configuration and applicability to complex structural geometries.

多学科领域一直在研究具有可调膨胀特性的晶格结构,以控制结构或材料的温度效应。通过优化结构几何形状,可以实现预期的热适应性。本文将结构温度效应的控制视为系统势能的最小化,从而开发了一种新的热适应性销杆组件的形状搜索方法。根据势能相对于节点坐标的静止条件,证明了构件热伸长与目标节点位移之间的相容关系是结构热适应性的充分必要条件。相容性方程的可解性由相容性矩阵及其增强形式之间的秩相等性决定,而秩相等性可通过其格拉曼矩阵的非零特征值数量来衡量。利用矩阵扰动理论建立了格拉矩阵特征值与节点坐标之间的分析关系。提出了一种基于牛顿法的数值策略,即通过调整节点坐标来逐步修改特征值,直至满足秩相等。为了解决存在多个具有结构热适应性的解的问题,引入了结构对称性和周期性约束来缩小解的空间。使用所提出的寻形方法分析了三个示例销杆组件的热适应配置,并使用有限元软件 ABAQUS 验证了所获得配置的预期热变形。将拟议方法与非线性编程和遗传算法得出的结果进行比较,验证了拟议方法在计算时间、所获配置的最优性和复杂结构几何形状的适用性等方面的优势。
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引用次数: 0
A Transformer-based neural network for automatic delamination characterization of quartz fiber-reinforced polymer curved structure using improved THz-TDS 基于变压器的神经网络,利用改进型 THz-TDS 对石英纤维增强聚合物曲面结构进行自动分层表征
IF 6.3 2区 材料科学 Q1 Engineering Pub Date : 2024-06-08 DOI: 10.1016/j.compstruct.2024.118272
Qiuhan Liu , Qiang Wang , Jiansheng Guo , Wenquan Liu , Ruicong Xia , Jiayang Yu , Xinghao Wang

Quartz fiber-reinforced polymer (QFRP) is a vital non-polar material used in aviation wave-transparent structural components. Automatic characterization of delamination defects in QFRP is critical to aviation structural component safety. Terahertz time-domain spectroscopy (THz-TDS) is one of the new non-destructive testing (NDT) methods with highly accurate characterization of internal defects in non-polar material. Hence, attempts to extract features of THz time-domain signals for automatic characterization have been made by using deep learning algorithms. In this work, a Transformer-based neural network to classify the THz time-domain signals collected from a QFRP curved structure for automatic characterization of pre-embedded delamination defects has been reported. A THz-TDS system combined with a collaborative robot for collecting the THz signals from QFRP curved structure has been built. An automatic characterization method framework is developed. Results show that the precision rates of Transformer-based neural network for 1st delamination to 5th delamination are 1.0, 1.0, 1.0, 0.985, 1.0, and F1 score of it is 0.982. During the process of testing, delamination defects inside the QFRP curved structure were visualized using pixels with different colors. Results indicate that the Transformer-based neural network can characterize all pre-embedded delamination defects while minimizing false identification of non-defective areas, performing outstanding generalization.

石英纤维增强聚合物(QFRP)是一种重要的非极性材料,用于航空透波结构部件。自动表征 QFRP 中的分层缺陷对航空结构部件的安全性至关重要。太赫兹时域光谱(THz-TDS)是一种新型无损检测(NDT)方法,可对非极性材料的内部缺陷进行高精度表征。因此,人们尝试使用深度学习算法来提取太赫兹时域信号的特征,以便进行自动表征。在这项工作中,报告了一种基于变压器的神经网络,用于对从 QFRP 曲线结构中收集到的太赫兹时域信号进行分类,以自动表征预埋分层缺陷。建立了一个 THz-TDS 系统,该系统与协作机器人相结合,用于从 QFRP 曲面结构中采集 THz 信号。开发了自动表征方法框架。结果表明,基于变压器的神经网络对第 1 层分层至第 5 层分层的精确率分别为 1.0、1.0、1.0、0.985、1.0,其 F1 分数为 0.982。在测试过程中,QFRP 曲线结构内部的分层缺陷用不同颜色的像素可视化显示。结果表明,基于变压器的神经网络可以表征所有预埋分层缺陷,同时最大限度地减少对非缺陷区域的错误识别,具有出色的泛化能力。
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引用次数: 0
Modal characteristics of functionally graded porous Timoshenko beams with variable cross-sections 变截面功能分层多孔季莫申科梁的模态特性
IF 6.3 2区 材料科学 Q1 Engineering Pub Date : 2024-06-08 DOI: 10.1016/j.compstruct.2024.118273
V.N. Burlayenko , H. Altenbach , S.D. Dimitrova

The study focuses on the free vibration analysis of beams composed of functionally graded porous materials and characterized by a variable cross-section along their length. A broad range of beams is examined encompassing various tapered configurations, porosity profiles, and porosity content. The equations of motion are derived using Hamilton’s principle within the framework of Timoshenko beam theory. These equations are solved semi-analytically using the differential transform method, which has been adapted to incorporate various boundary conditions such as clamped–clamped, clamped–free, clamped–pinned, and pinned–pinned constraints within a general formulation of the beam eigenvalue problem. To validate the proposed solution technique, computed natural frequencies are compared with existing literature results for tapered inhomogeneous beams and uniform porous beams. Notably, new results are obtained for tapered porous beams. In this regard, a comprehensive parametric study explores the influence of various factors on the natural frequencies and mode shapes of functionally graded porous beams with variable cross-sections. These factors include the type of porosity profiles, a range of porosity parameters, cross-section taper ratios, and specific boundary conditions. The findings deepen our understanding of the modal characteristics of functionally graded porous beams, providing valuable guidance for engineering design and structural optimization in relevant applications. Additionally, they may serve as benchmarks for other researchers.

研究重点是由功能分级多孔材料组成的横梁的自由振动分析,横梁的横截面沿长度方向可变。研究范围广泛,包括各种锥形结构、孔隙率剖面和孔隙率含量。在季莫申科梁理论框架内,利用汉密尔顿原理推导出运动方程。使用微分变换法对这些方程进行半解析求解,并将各种边界条件(如夹紧-夹紧、无夹紧、夹紧-销钉和销钉-夹紧约束)纳入梁特征值问题的一般表述中。为了验证所提出的求解技术,将计算出的自然频率与现有文献中关于锥形不均匀梁和均匀多孔梁的结果进行了比较。值得注意的是,锥形多孔梁获得了新的结果。在这方面,一项综合参数研究探讨了各种因素对横截面可变的功能分级多孔梁的固有频率和模态振型的影响。这些因素包括孔隙率剖面类型、一系列孔隙率参数、横截面锥度比和特定的边界条件。研究结果加深了我们对功能分级多孔梁模态特性的理解,为相关应用中的工程设计和结构优化提供了宝贵的指导。此外,它们还可作为其他研究人员的基准。
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引用次数: 0
Three-dimensional heat transfer analysis of Hot Gas Torch (HGT)-assisted Automated Fiber Placement (AFP) for thermoplastic composites 热气喷枪 (HGT) 辅助热塑性复合材料纤维自动铺放 (AFP) 的三维传热分析
IF 6.3 2区 材料科学 Q1 Engineering Pub Date : 2024-06-07 DOI: 10.1016/j.compstruct.2024.118256
Lorenz Zacherl, Allyson Fontes, Farjad Shadmehri

Automated Fiber Placement (AFP) is a key additive manufacturing process for the production of complex composite structures. This study focuses on the in-situ AFP process for thermoplastic composites with Hot Gas Torch (HGT), which includes heating, consolidation, and solidification steps. Temperature control is critical to achieving high quality parts as it affects bond quality, crystallization, and solidification. However, previous studies have oversimplified convective heat transfer by assuming a constant coefficient, resulting in discrepancies between simulations and experiments. This paper introduces a novel distribution function to model the convective heat transfer coefficient, thereby improving temperature predictions. An optimization loop is used to determine the parameters of the function, which ensures agreement with experimental data. The proposed approach accurately predicts the temperature distribution, which is validated against unseen experimental results. By incorporating the distribution of the convective heat transfer coefficient, this study improves the understanding of heat transfer mechanisms in AFP for thermoplastic composites, leading to improved manufacturing processes and part quality.

自动纤维铺放(AFP)是生产复杂复合材料结构的关键增材制造工艺。本研究的重点是使用热气喷枪(HGT)进行热塑性复合材料的原位 AFP 工艺,其中包括加热、固化和凝固步骤。温度控制对获得高质量零件至关重要,因为它会影响粘接质量、结晶和凝固。然而,以往的研究通过假设一个恒定的系数来过度简化对流传热,从而导致模拟和实验之间的差异。本文引入了一种新的分布函数来模拟对流传热系数,从而改进了温度预测。通过优化循环来确定函数的参数,从而确保与实验数据的一致性。所提出的方法能准确预测温度分布,并与未见的实验结果进行了验证。通过纳入对流传热系数的分布,本研究提高了对热塑性复合材料 AFP 中传热机制的理解,从而改进了制造工艺和零件质量。
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引用次数: 0
Experimental study on the vibrational response and damping of short fibre/unidirectional PEEK hybrid composites 短纤维/单向 PEEK 混合复合材料振动响应和阻尼实验研究
IF 6.3 2区 材料科学 Q1 Engineering Pub Date : 2024-06-07 DOI: 10.1016/j.compstruct.2024.118264
James Pheysey , Natalia Mazancova , Francesco De Cola , David Garcia Cava , Francisca Martinez-Hergueta

This study investigates the vibrational performance of a new generation of hybrid composites based on a short fibre core for structural dynamic applications. The dynamic characterisation was conducted through dynamic mechanical analysis (DMA) and the free vibration of a cantilever beam at different lengths. The short fibre composite exhibited a superior specific damping capacity, producing a maximum damping of 0.42. The values extracted from DMA indicated no visco-plastic contribution from the PEEK resin system, implying that the internal microarchitecture drives the material damping, with friction at the fibre/matrix interface being the primary dissipation mechanism. The hybrid laminate presented an improvement in damping performance of 39% due to the addition of the short fibre core compared to a baseline quasi-isotropic laminate of similar flexural stiffness. These findings show hybridisation’s advantages in designing structural components with improved damping performance and reduced cost for a variety of dynamic applications in industries such as automotive.

本研究探讨了基于短纤维芯的新一代混合复合材料在结构动态应用中的振动性能。通过动态力学分析(DMA)和不同长度悬臂梁的自由振动进行了动态表征。短纤维复合材料表现出卓越的特定阻尼能力,产生的最大阻尼为 0.42。从 DMA 提取的数值表明,PEEK 树脂系统没有产生粘弹性,这意味着内部微结构驱动了材料阻尼,纤维/基质界面的摩擦是主要的耗散机制。与弯曲刚度相似的基线准各向同性层压板相比,由于增加了短纤维芯,混合层压板的阻尼性能提高了 39%。这些研究结果表明,在汽车等行业的各种动态应用中,杂化在设计具有更佳阻尼性能和更低成本的结构部件方面具有优势。
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引用次数: 0
Cyclic damage quantification in composite materials using discrete damage mechanics 利用离散损伤力学量化复合材料中的循环损伤
IF 6.3 2区 材料科学 Q1 Engineering Pub Date : 2024-06-07 DOI: 10.1016/j.compstruct.2024.118271
Nikolay V. Turbin , Kirill A. Shelkov , Nikolay O. Kononov , Ever J. Barbero

A method for fatigue damage quantification in composite materials, based on experimental stiffness degradation data for composite laminates subjected to cyclic load is proposed. Discrete damage mechanics theory is used to calculate crack density vs. number of cycles from elastic moduli-reduction data obtained during fatigue experiments. The calculated crack density simplifies fatigue testing by diminishing the need for counting cracks during testing. Accurate results are achieved and reported. The defect-nucleation rate, which controls the fatigue damage rate, is also obtained from processing the modulus-reduction data. It is observed that the defect-nucleation rate has a small scatter and is independent of applied load magnitude. Furthermore, the onset of delamination observed in the experiments correlates very well with the onset of deviation between the predicted and experimental curves of elastic moduli-reduction versus accumulated crack density. An additional parameter, the defect-nucleation threshold, is here proposed to further characterize the fatigue performance of the composite material under stress-controlled fatigue loading, in contrast to thermal fatigue results from the literature. Furthermore, the difference in damage nucleation rate between strain-controlled and stress-controlled was observed and discussed.

根据复合材料层压板在循环载荷作用下的刚度退化实验数据,提出了一种复合材料疲劳损伤量化方法。利用离散损伤力学理论,从疲劳实验中获得的弹性模态衰减数据中计算出裂纹密度与循环次数的关系。计算出的裂纹密度减少了测试过程中对裂纹计数的需要,从而简化了疲劳测试。计算结果准确无误,并可进行报告。控制疲劳损伤率的缺陷成核率也是通过处理模量还原数据获得的。据观察,缺陷成核率的散布很小,且与施加的载荷大小无关。此外,实验中观察到的分层开始时间与弹性模量还原与累积裂纹密度的预测曲线和实验曲线之间的偏差开始时间非常吻合。与文献中的热疲劳结果相比,本文提出了一个附加参数--缺陷成核阈值,以进一步描述复合材料在应力控制疲劳加载下的疲劳性能。此外,还观察并讨论了应变控制和应力控制下损伤成核率的差异。
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引用次数: 0
Chaotic snap-through vibrations of bistable asymmetric deployable composite laminated cantilever shell under foundation excitation and application to morphing wing 双稳态非对称可展开复合材料层叠悬臂壳在地基激励下的混沌快穿振动及其在变形机翼中的应用
IF 6.3 2区 材料科学 Q1 Engineering Pub Date : 2024-06-07 DOI: 10.1016/j.compstruct.2024.118261
W. Zhang , L.L. Ren , Y.F. Zhang , X.T. Guo

The realization of the dynamic snap-through behaviors provides the new design ideas in the fields of the morphing aircraft and piezoelectric energy harvesting. This paper studies 1:2 internal resonance, nonlinear vibrations and chaotic snap-through phenomena of the bistable asymmetric composite laminated (BSCL) cantilever shell with the lower-frequency and higher-frequency primary resonances for the first time. The transverse foundation excitation subjects to the fixed end of the bistable cantilever shell. The perturbation analysis of two-degrees-of-freedom nonlinear ordinary differential equations is carried out by using the first-order approximate multiple scale method. The analytical results of the frequency-amplitude and force-amplitude response curves are obtained under the small foundation excitation. The obtained results reveal that the BSCL cantilever shell exhibits the double-jumping characteristics when 1:2 internal and primary resonances occur. There is a continuous energy exchange back and forth between two modes of the bistable laminated cantilever shell. As the foundation excitation increases, the BSCL cantilever shell exhibits saturation phenomenon. Numerical simulations are finished to further investigate the effects of the large excitation on the chaotic, quasi-periodic and snap-through vibrations for the BSCL cantilever shell. The vibration experiment is carried out to investigate the internal resonance and dynamic snap-though motions of the BSCL cantilever shell. Using the snap-though behaviors of the BSCL cantilever shell, we obtain the morphing structure of the aircraft wing.

动态快穿行为的实现为变形飞行器和压电能量收集领域提供了新的设计思路。本文首次研究了双稳态非对称复合材料层压(BSCL)悬臂壳体的 1:2 内部共振、非线性振动和具有低频和高频主共振的混沌快穿现象。双稳态悬臂壳的固定端受到横向基础激励。利用一阶近似多重尺度法对两自由度非线性常微分方程进行了扰动分析。得到了小地基激励下频率-振幅和力-振幅响应曲线的分析结果。结果表明,当发生 1:2 内部共振和主共振时,BSCL 悬臂壳表现出双跳特性。双稳态层叠悬臂壳的两种模式之间存在持续的能量来回交换。随着基础激励的增加,BSCL 悬臂壳会出现饱和现象。为了进一步研究大激振力对 BSCL 悬臂壳的混沌振动、准周期振动和快穿振动的影响,我们完成了数值模拟。通过振动实验研究了 BSCL 悬臂壳的内部共振和动态快穿运动。利用 BSCL 悬臂壳的快穿行为,我们得到了飞机机翼的变形结构。
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引用次数: 0
Waterborne polyurethane aerogel with asymmetric gradient structure formed by density-induced self-stratification for absorption-dominated electromagnetic interference shielding 通过密度诱导自分层形成非对称梯度结构的水性聚氨酯气凝胶,用于屏蔽以吸收为主的电磁干扰
IF 6.3 2区 材料科学 Q1 Engineering Pub Date : 2024-06-06 DOI: 10.1016/j.compstruct.2024.118259
Meng Ma , Xiao Liang , Wenting Tao , Qiang Peng , Wenqin Shao , Si Chen , Yanqin Shi , Huiwen He , Yulu Zhu , Xu Wang

The issues of electromagnetic (EM) emission and its secondary contamination have prompted significant concern among individuals. Hence, the development of efficient absorbing electromagnetic interference (EMI) shielding materials are urgent. Herein, silver-coated and foamed temperature-sensitive microspheres (Ag@FTSM) were synthesized by electroless silver plating. Subsequently, the Ag@FTSM/Fe3O4/waterborn polyurethane (WPU) composite aerogels with a porous and asymmetric gradient structure were prepared via freeze-drying process based on the principle of density difference. The introduction of the porous structure can reduce the material density and filler addition, augment the loss interface, and prolong the conduction path resulting in the enhancement of the EM wave absorption property. Through the loss mechanism of “absorption-reflection-reabsorption” and the longer loss path of the aerogels, the EMI shielding efficiency (SE) of the composites reached 48.7 dB with excellent absorption efficiency (46.5 dB) and high absorption coefficient (0.60) when the electromagnetic waves hit the magnetic layer.

电磁辐射及其二次污染问题已引起人们的极大关注。因此,开发高效吸收电磁干扰(EMI)的屏蔽材料迫在眉睫。本文通过无电解镀银法合成了银涂层发泡温敏微球(Ag@FTSM)。随后,根据密度差原理,通过冷冻干燥工艺制备了具有多孔和非对称梯度结构的 Ag@FTSM/Fe3O4/ 水性聚氨酯(WPU)复合气凝胶。多孔结构的引入可以降低材料密度和填料添加量,增加损耗界面,延长传导路径,从而增强电磁波吸收特性。通过 "吸收-反射-吸收 "的损耗机制和气凝胶更长的损耗路径,当电磁波撞击磁层时,复合材料的电磁干扰屏蔽效率(SE)达到 48.7 dB,具有极佳的吸收效率(46.5 dB)和较高的吸收系数(0.60)。
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引用次数: 0
Shear strengthening of RC beams with prestressed NSM CFRP: Influencing factors and analytical model 使用预应力 NSM CFRP 对 RC 梁进行剪切加固:影响因素和分析模型
IF 6.3 2区 材料科学 Q1 Engineering Pub Date : 2024-06-06 DOI: 10.1016/j.compstruct.2024.118262
Hengliang Guo , HaoHan Liao , Miao Su , Bai Zhang , Shaofang Li , Hui Peng

This study proposes the application of prestressed near-surface-mounted (NSM) carbon-fiber-reinforced polymer (CFRP) technique in the field of the shear-strengthening of bridges for the first time. Fourteen reinforced concrete (RC) beams shear strengthened with prestressed NSM CFRP were tested under static load. The effect of the CFRP prestressing level, spacing, angle, and end-anchorage measures on the shear-strengthening behavior was evaluated. The experimental results demonstrate that the ultimate shear capacity of prestressed NSM CFRP shear-strengthened beams increased by 65–127% when compared to that of the reference beams, and the width of shear cracks was effectively suppressed. The failure mode of prestressed NSM CFRP shear-strengthened beams without end-anchorage measures was web concrete cover separation, which can be suppressed using a CFRP U-jacket and through-beam screw. Increasing the CFRP prestressing level and percentage enhanced the ultimate shear capacity and cracking resistance of the strengthened beams. However, an excessively high CFRP percentage and prestress level combination resulted in large shear crack angles and decreased the shear contribution of CFRP and concrete. Finally, an analytical model based on the modified compression field theory (MCFT) was proposed to predict the flexural-shear load response of strengthened beams, which was in agreement with the experimental results.

本研究首次提出将预应力近表面安装(NSM)碳纤维增强聚合物(CFRP)技术应用于桥梁抗剪加固领域。在静荷载作用下,对 14 根采用预应力 NSM CFRP 进行剪切加固的钢筋混凝土 (RC) 梁进行了测试。评估了 CFRP 预应力水平、间距、角度和端部锚固措施对剪力加固行为的影响。实验结果表明,与基准梁相比,预应力 NSM CFRP 剪力加固梁的极限抗剪承载力提高了 65-127%,剪力裂缝的宽度也得到了有效抑制。没有端部锚固措施的预应力 NSM CFRP 剪力加固梁的破坏模式是腹板混凝土盖板分离,使用 CFRP U 型夹具和穿梁螺杆可以抑制这种破坏模式。提高 CFRP 预应力水平和百分比可增强加固梁的极限抗剪能力和抗裂性。然而,过高的 CFRP 百分比和预应力水平组合会导致较大的剪切裂缝角度,并降低 CFRP 和混凝土的抗剪贡献。最后,提出了一个基于修正压缩场理论(MCFT)的分析模型,用于预测加固梁的挠剪载荷响应,该模型与实验结果一致。
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引用次数: 0
Study on isotropic design of triply periodic minimal surface structures under an elastic modulus compensation mechanism 弹性模量补偿机制下三重周期性最小表面结构的各向同性设计研究
IF 6.3 2区 材料科学 Q1 Engineering Pub Date : 2024-06-06 DOI: 10.1016/j.compstruct.2024.118266
Jing Zhang, Suchao Xie, Kunkun Jing, Hao Wang, Tao Li, Guandi He

The energy absorption characteristics of the triply periodic minimal surfaces (TPMS) structure may vary significantly due to the anisotropy under multi-directional loading conditions. To address this issue effectively, an isotropic design strategy based on a precise elastic modulus compensation mechanism for different TPMS lattices is proposed. This strategy involves combining a TPMS lattice with a high elastic modulus in the axial direction with another TPMS lattice featuring a low elastic modulus in the same direction, leveraging the complementary effects of elastic modulus to achieve isotropy. The relationship between the relative density and the elastic modulus of six types of TPMS lattices is analyzed through homogenization simulation and finite element analysis. Mathematical expressions are then fitted using the Gibson-Ashby model. Additionally, a Kriging model is employed to establish the relationship between the Zener anisotropy values of hybrid TPMS structures and the relative density of their component lattices. This enables the precise complementary effect of elastic modulus in different TPMS lattice structures, providing a widely applicable selection rule for achieving isotropy. Using the Primitive-Diamond hybrid lattice as an example, the Zener anisotropy index after hybridization is reduced by 65.2 % and 31.37 % compared to single Primitive and Diamond lattices, respectively.

在多方向加载条件下,三周期极小面(TPMS)结构的能量吸收特性可能会因各向异性而产生显著差异。为有效解决这一问题,我们提出了一种基于精确弹性模量补偿机制的各向同性设计策略,适用于不同的 TPMS 晶格。该策略包括将轴向弹性模量较高的 TPMS 晶格与同一方向弹性模量较低的另一 TPMS 晶格相结合,利用弹性模量的互补效应实现各向同性。通过均质模拟和有限元分析,分析了六种 TPMS 晶格的相对密度和弹性模量之间的关系。然后使用 Gibson-Ashby 模型拟合数学表达式。此外,还采用克里金模型建立了混合 TPMS 结构的齐纳各向异性值与其组成晶格的相对密度之间的关系。这样,不同 TPMS 晶格结构中的弹性模量就能产生精确的互补效应,为实现各向同性提供了广泛适用的选择规则。以原始-金刚石混合晶格为例,与单一原始晶格和金刚石晶格相比,杂化后的齐纳各向异性指数分别降低了 65.2 % 和 31.37 %。
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引用次数: 0
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