In this paper, the Dual Mesh Control Domain Method (DMCDM) is used to carry out the free vibration and buckling analysis of two-constituent Functionally Graded Beams (FGBs) with through-thickness material variation. The material composition (modulus and density) is varied continuously through the beam thickness according to a power-law. The Euler-Bernoulli beam model consisting of the displacements and bending moment as the primary nodal degrees of freedom (i.e., mixed model) and the Timoshenko beam model with the displacement degrees of freedom (i.e., displacement model) are formulated as eigenvalue problems using the DMCDM. The numerical examples presented consider typical beam boundary conditions and various power-law exponents and slenderness ratios. The accuracy of this method is demonstrated by comparing the numerical results with those available in the literature.
本文采用双网格控制域法(Dual Mesh Control Domain Method, DMCDM)对材料厚度变化的双组分功能梯度梁(fgb)进行了自由振动和屈曲分析。材料成分(模量和密度)随梁厚呈幂律连续变化。采用DMCDM将以位移和弯矩为主要节点自由度的Euler-Bernoulli梁模型(即混合模型)和以位移自由度为主要节点自由度的Timoshenko梁模型(即位移模型)表述为特征值问题。给出的数值算例考虑了典型的梁边界条件和各种幂律指数和长细比。通过将数值结果与文献中已有的结果进行比较,证明了该方法的准确性。
Higher gradient homogenization of quasi-periodic media and applications to inclusion-based composites
This paper introduces quasi-periodic homogenization schemes for quasi-periodic media, those without strict periodicity, but that can be mapped to a parent periodic medium. Quasi-periodic homogenization relies on the conceptual idea of mapping a non-periodic domain to a reference periodic one through a point mapping of material points within the domain of an identified repetitive unit cell. The theoretical background of quasi-periodic homogenization introduced in the first part of this paper relies on expressing the microscopic position of micropoints within a physical unit cell as a sum of the macroscopic position (the center of area of the unit cell) and the relative position of micropoints with respect to the center of area. This decomposition parameterized by the small-scale parameter entails a corresponding additive decomposition of the tangent map defining the geometrical transformation of the periodic UC into the quasi-periodic one in terms of an additive decomposition into macroscopic and microscopic contributions. The quasi-periodic homogenized effective moduli are then determined, starting from the average of the microscopic energy, those being expressed in terms of the periodic moduli and a perturbation term, both expressed in a volumetric format as surface integrals over the reference unit cell domain in a 2D context. In the second part of this contribution, a surface formulation of the quasi-periodic moduli is derived, based on the notion of shape derivative of the total potential energy stored within the unit cell. This approach relies on introducing a shape velocity field at the boundary of the periodic unit cell to change its design, driven by the normal projection of Eshelby stress onto both the internal and external boundaries of the unit cell. This second scheme offers comparatively to the first one a simpler way to compute the quasi-periodic moduli as it only requires the evaluation of the mechanical fields on the unit cell boundaries. Application of the proposed homogenization schemes are done for inclusion-based composites, underlining the importance of strain gradient energetic contribution in the situation of a micrograding of the unit cell geometry.
A meshfree method for functionally graded triply periodic minimal surface plates
Chien H. Thai, P.T. Hung, H. Nguyen-Xuan, P. Phung-Van
doi:10.1016/j.compstruct.2024.117913
功能梯度三周期最小曲面板的无网格法
The goal of this study is to utilize a higher order shear deformation theory (HSDT) and the moving Kriging meshfree method for analyzing bending, free vibration, and buckling behaviors of functionally graded (FG) triply periodic minimal surface (TPMS) plates. The FG-TPMS plates are modeled using porous structures of Primitive (P), Gyroid (G) and wrapped package-graph (IWP) patterns with six different volume distribution cases for each pattern. The mechanical properties such as elastic modulus, shear modulus, and Poisson's ratio, are estimated using a fitting technique based on a two-phase piece-wise function. The governing equations of the FG-TPMS plates are established using the virtual work principle and then solved using the moving Kriging meshfree method. The study examines various geometries including square, circular, annular, and square with a cutout heart, to investigate the displacement, natural frequency, and critical buckling load parameters of the FG-TPMS plates. Additionally, those parameters are also analyzed with respect to different length-to-thickness ratios, TPMS types, volume distribution cases, and boundary conditions. The numerical results are compared to the original reference ones obtained by isogeometric analysis in the literature.
Recent Advances and Future Trends in Enhancing the Compressive Strength of Aluminum Matrix Foam Composites Reinforced with Ceramic Hollow Spheres: A Review
Kai Sun, Lin Wang, Guoliang Wei, Qiang Zhang, Zengyan Wei, Bing Wang, S.V. Shil'ko, Gaohui Wu
doi:10.1016/j.compstruct.2024.117918
陶瓷空心球增强铝基泡沫复合材料抗压强度研究进展及发展趋势
Aluminum matrix foam composites have garnered significant interest among researchers due to their exceptional strength and energy absorption capabilities. However, the compressive strength of the hollow spheres in these composites is relatively low compared to that of conventional structural materials. As a result, the primary focus in developing aluminum matrix foam composites is to enhance their strength. Although researchers have conducted several reviews on the preparation methods and typical properties of these composites, less attention has been given to the factors influencing their strength and the structural design methods employed to bolster it. Therefore, this paper provides a comprehensive review of the factors impacting the strength of aluminum matrix foam composites and the available structural design options for strength enhancement. The summarization of structural design methods presented herein is crucial for gaining a deeper understanding of strategies to strengthen aluminum matrix foam composites.
Composites Part A: Applied Science and Manufacturing
Exceptionally low ablation rates realized in the cellular-structured MCMB@WC composites via biomimetic design
Wenqi Xie, Biao Zhang, Bangzhi Ge, Zhilei Wei, Zhichao Xiao, Lei Zhuang, Zhanwu Wu, Jiajia Wu, Yingjie Zhang, Kai He, Zhongqi Shi
doi:10.1016/j.compositesa.2024.108035
通过仿生设计,在细胞结构MCMB@WC复合材料中实现了极低的烧蚀率
Thermal protection materials (TPMs) with extra-low ablation rate in long-term are ungently required in reusable spacecrafts. However, the ablation property and operation life of conventional graphite/carbon-based composites with ultra-high temperature ceramic coatings are rather limited. Inspired by the self-healing behavior of plants, we designed and fabricated cellular-structured tungsten carbide (WC) reinforced graphite composites via the combination of molten salt coating and spark plasma sintering. Owing to the intelligent biomimetic structure and regeneration of WC during the ablation process, the composites exhibited not only excellent thermal shock resistance but also exceptionally low ablation rates. In the cyclic ablation test under 4.18 MW·m-2 for 360 s, the linear and mass ablation rates of the composite at the last ablation period decreased to 0.33 mg·s-1 and 0.17 μm·s-1, respectively. The biomimetic structural design offers new insights for fabricating graphite-based composites with exceptionally low ablation rates, which are promisingly applied in reusable spacecrafts.
High Performance Ductile and Pseudo-ductile Polymer Matrix Composites: a Review
M.R. Wisnom, S. Pimenta, M. S. P. Shaffer, P. Robinson, K.D. Potter, I. Hamerton, G. Czél, M. Jalalvand, M. Fotouhi, D.B. Anthony, H. Yu, M.L. Longana, X. Wu, A. Bismarck
doi:10.1016/j.compositesa.2024.108029
高性能延性和伪延性聚合物基复合材料研究进展
The ability of fibre reinforced composites to deform with a non-linear stress-strain response and gradual, rather than sudden, catastrophic failure is reviewed. The principal mechanisms by which this behaviour can be achieved are discussed, including ductile fibres, progressive fibre fracture and fragmentation, fibre reorientation, and slip between discontinuous elements. It is shown that all these mechanisms allow additional strain to be achieved, enabling a yield-like behaviour to be generated. In some cases, the response is ductile and in others pseudo-ductile. Mechanisms can also be combined, and composites which give significant pseudo-ductile strain can be produced. Notch sensitivity is reduced, and there is the prospect of increasing design strains whilst also improving damage tolerance. The change in stiffness or visual indications of damage can be exploited to give warning that strain limits have been exceeded. Load carrying capacity is still maintained, allowing continued operation until repairs can be made. Areas for further work are identified which can contribute to creating structures made from high performance ductile or pseudo-ductile composites that fail gradually.
It is common practice for humans to enhance the stiffness of a material by adding stiffer ingredients into it, which leads to the development of various composites of wide applications. However, irrespective of the configuration of the constituents of a multiphase composite, its compression elastic moduli are always between some bounds which are determined by the volume fractions and elastic moduli of the constituents inherently. Here, we report a magnetic composite material that is composed of a soft matrix material and two magnetic thin plates with small volume fraction. The compressive elastic modulus of the composite material is 25 times higher than the Halpin-Tsai upper bound due to the effect of the internal magnetic field. The measured maximum initial tangent modulus of the magnetic composite is ca. 40 times and 54 times higher than that of the nonmagnetic composite and PDMS matrix, respectively. This work provides a new direction for improving the performance of materials by fields.
Nowadays, electromagnetic pollution is becoming increasingly severe, causing disturbances to electronic devices and posing a potential threat to human health. Therefore, there is an urgent demand for lightweight and efficient electromagnetic wave absorbing (EMA) materials. Our study proposes a dielectric regulation idea to create graphene/polymer efficient electromagnetic wave absorbers. Cyanoethyl cellulose (CEC) with high dielectric real part (ɛ’) and low dielectric imaginary part (ɛ”) is used as the matrix to composite with high-ɛ’ and high-ɛ” reduced graphene oxides (rGO). The interwoven long fibers of CEC provide a framework for rGO attachment, allowing the fabrication of the 3D rGO structure that suppresses graphene stacking and improves the dispersibility of rGO. Beneficial from these advantages, a small addition of rGO makes the rGO/CEC composites acquire high ɛ’ and appropriate ɛ”, which are essential for impedance matching and efficient EMA performance. As a result, the rGO/CEC with only 0.7 wt% rGO achieves the minimum reflection loss (RLmin) of −42.8 dB at 10.6 GHz with the effective absorption bandwidth (RL < −10 dB) spanning 3.6 GHz. This work demonstrates an effective material-design strategy for developing efficient EMA materials through dielectric regulation, which opens up a new dimension for advanced EMA materials design.
如今,电磁污染日益严重,对电子设备造成干扰,并对人类健康构成潜在威胁。因此,人们对轻质高效的电磁波吸收(EMA)材料有着迫切的需求。我们的研究提出了一种介电调节思路,以制造石墨烯/聚合物高效电磁波吸收器。高介电实部(ɛ')和低介电虚部(ɛ")的氰乙基纤维素(CEC)被用作基体,与高ɛ'和高ɛ "还原石墨烯氧化物(rGO)复合。CEC 的交织长纤维为 rGO 的附着提供了一个框架,使三维 rGO 结构的制造成为可能,从而抑制了石墨烯堆叠并提高了 rGO 的分散性。得益于这些优势,只需添加少量 rGO,rGO/CEC 复合材料就能获得较高的ɛ'和适当的ɛ",这对于阻抗匹配和高效的 EMA 性能至关重要。因此,仅含有 0.7 wt% rGO 的 rGO/CEC 在 10.6 GHz 频率下实现了 -42.8 dB 的最小反射损耗(RLmin),有效吸收带宽(RL < -10dB)跨越 3.6 GHz。这项工作展示了一种通过介电调节开发高效 EMA 材料的有效材料设计策略,为先进的 EMA 材料设计开辟了新的领域。
Highly stretchable and room-temperature self-healing sheath-core structured composite fibers for ultrasensitive strain sensing and visual thermal management
Highly stretchable and self-healing wearable electronics for strain sensing and Joule heating are highly desirable for future emerging applications of wearable devices, smart robots, human-machine interface and artificial intelligence, etc. Herein, the highly stretchable and room-temperature self-healing sheath-core structured composite fibers are fabricated via the feasible in-situ polymerization modification followed by electroless silver-plating approach. Benefitting from the simultaneous incorporation of dual dynamic reversible chemical networks and construction of sheath-core structures, the composite fibers show ultrasensitive strain sensing and visual thermal management performances with excellent room-temperature self-healing capacity at ultralow Ag loadings. The composite fibers after cutting and self-healing also exhibit outstanding strain sensing performances with a high gauge factor (GF) of 64.0 and visual thermal management performances with tailorable Joule heating temperatures. Furthermore, they possess excellent working stability and reliability in practical applications of human motion detection and personal thermal management. This work demonstrates the fabrication of highly stretchable and room-temperature self-healing composite fibers for next-generation wearable devices, smart robots, human-machine interface and artificial intelligence, etc.