TC4负泊松比复合结构的人工骨力学性能调控研究

目的 基于不同变形机制的负泊松比结构优化设计新型复合多孔结构样件,增加力学性能的调控维度,以满足人体骨低弹性模量的匹配要求。方法 用内凹多边形替代手性结构的圆环,以获得新型的复合胞元结构。利用选区激光熔化成形技术制备负泊松比多孔人工骨样件,通过压缩实验揭示胞元结构类型、结构参数、孔隙率对屈服强度、弹性模量的影响规律,评测不同结构样件与人体骨间的力学性能匹配程度。结果 当孔隙率为65%～85%时,复合结构样件的成形质量、力学性能基本介于手性结构的和内凹结构的之间,且与孔隙率密切相关。手性结构、内凹结构和复合结构的弹性模量分别为2.39～4.64、1.12～3.77、1.01～3.47 GPa,屈服强度分别为65.19～223.06、45.25～195.81、26.54～143.58MPa。复合结构的弹性模量随环径和内凹角度的增大而减小。当孔隙率为75%时,环径由2.4 mm变至2.0 mm,弹性模量由2.651 GPa降低至2.082 GPa。当内凹角度由85°变至65°时,弹性模量则由3.566GPa降低至1.982GPa。结论 复合胞元结构可以融合材料特性,增加调控维度,进而匹配人工...     

Viscoelastic properties of silicone rubber with admixture of SiO2 nanoparticles

Measurements have been carried out to investigate the change of dynamic viscoelastic properties of silicone rubber with the admixture of small amount SiO₂ nanoparticles. A novel measurement method for the dynamic viscoelastic properties including the modulus of elasticity, the loss factor and the Poisson's ratio is employed. It was found that an admixture of rather small amount of SiO2 nanoparticles can substantially affect the viscoelastic properties of the silicone rubber. It is observed that the modulus of elasticity is increased, while the loss factor and the Poisson's ratio are reduced.     

考虑泊松效应的材料/结构一体化设计方法

为实现含有不同泊松比组分复合材料的优化设计,并考虑宏观结构及复杂的边界条件,提出了考虑泊松效应的材料/结构一体化设计方法,其显著特征在于不同组分材料中引入了泊松比插值,假设宏观结构由周期性排列的复合材料组成,复合材料含两种各向同性且泊松比不同的组分材料,以静态问题中柔顺度最小化或动态问题中特征值最大化为目标以及宏微观体积比为约束建立了拓扑优化模型。采用均匀化理论预测了复合材料等效性能,推导了目标函数对宏微观密度变量的敏度表达式。分别采用密度过滤和敏度过滤来消除宏微观拓扑优化中的不稳定性现象。采用优化准则法分别更新宏观、微观密度变量,考察了微观体积比和组分材料泊松比参数对优化结果的影响。三维数值算例结果表明所提出的一体化方法具有可行性和优越性。     

Comparative Study of Strain‐Dependent Structural Changes of Silkworm Silks: Insight into the Structural Origin of Strain‐Stiffening

Structure–property relationships of silk is an intriguing topic for silk‐based biomaterials research since these features are related to biomimicking the processing in natural silk fiber formation which results in excellent mechanical properties. Strain‐stiffening is common for spider silks and nonmulberry silkworm silks. However, the structural origin of strain‐stiffening remains unclear. In this paper, the strain‐dependent structural change of Antheraea pernyi silkworm silk is studied by X‐ray fiber diffraction and Fourier transform infrared spectroscopy under stretching. Based on a combination of mechanical and structural analysis, the molecular origins of strain‐stiffening in A. pernyi silk were determined. The relatively high content of the β‐sheets within the amorphous domains in A. pernyi silk is responsible for strain‐stiffening, where “molecular spindles” enhance the extensibility and toughness of the fiber.     

A comparison of transformation methods for evaluating two‐dimensional weakly singular integrals

Accurate numerical evaluation of integrals arising in the boundary element method is fundamental to achieving useful results via this solution technique. In this paper, a number of techniques are considered to evaluate the weakly singular integrals which arise in the solution of Laplace's equation in three dimensions and Poisson's equation in two dimensions. Both are two‐dimensional weakly singular integrals and are evaluated using (in a product fashion) methods which have recently been used for evaluating one‐dimensional weakly singular integrals arising in the boundary element method. The methods used are based on various polynomial transformations of conventional Gaussian quadrature points where the transformation polynomial has zero Jacobian at the singular point. Methods which split the region of integration into sub‐regions are considered as well as non‐splitting methods. In particular, the newly introduced and highly accurate generalized composite subtraction of singularity and non‐linear transformation approach (GSSNT) is applied to various two‐dimensional weakly singular integrals. A study of the different methods reveals complex relationships between transformation orders, position of the singular point, integration kernel and basis function. It is concluded that the GSSNT method gives the best overall results for the two‐dimensional weakly singular integrals studied. Copyright © 2002 John Wiley & Sons, Ltd.     

An algorithm for modelling the interaction of a flexible rod with a two‐dimensional high‐speed flow

We present an algorithm for modelling coupled dynamic interactions of a very thin flexible structure immersed in a high‐speed flow. The modelling approach is based on combining an Eulerian finite volume formulation for the fluid flow and a Lagrangian large‐deformation formulation for the dynamic response of the structure. The coupling between the fluid and the solid response is achieved via an approach based on extrapolation and velocity reconstruction inspired in the Ghost Fluid Method. The algorithm presented does not assume the existence of a region exterior to the fluid domain as it was previously proposed and, thus, enables the consideration of very thin open boundaries and structures where the flow may be relevant on both sides of the interface. We demonstrate the accuracy of the method and its ability to describe disparate flow conditions across a fixed thin rigid interface without pollution of the flow field across the solid interface by comparing with analytical solutions of compressible flows. We also demonstrate the versatility and robustness of the method in a complex fluid–structure interaction problem corresponding to the transient supersonic flow past a highly flexible structure. Copyright © 2005 John Wiley & Sons, Ltd.     

A Chemical Precipitation Method Preparing Hollow–Core–Shell Heterostructures Based on the Prussian Blue Analogs as Cathode for Sodium‐Ion Batteries

Prussian blue and its analogs are regarded as the promising cathodes for sodium‐ion batteries (SIBs). Recently, various special structures are constructed to improve the electrochemical properties of these materials. In this study, a novel architecture of Prussian blue analogs with large cavity and multilayer shells is investigated as cathode material for SIBs. Because the hollow structure can relieve volume expansion and core–shell heterostructure can optimize interfacial properties, the complex structure materials exhibited a highly initial capacity of 123 mA h g^?1 and a long cycle life. After 600 cycles, the reversible capacity of the electrode still maintains at 102 mA h g^?1 without significant voltage decay, indicating a superior structure stability and sodium storage kinetics. Even at high current density of 3200 mA g^?1, the electrode still delivers a considerable capacity above 52 mA h g^?1. According to the electrochemical analysis and ex‐situ measurements, it can be inferred that the enhanced apparent diffusion coefficient and improved insertion/extraction performance of electrode have been obtained by building this new morphology.     

Facile Synthesis of Yolk–Shell‐Structured Triple‐Hybridized Periodic Mesoporous Organosilica Nanoparticles for Biomedicine

The synthesis of mesoporous nanoparticles with controllable structure and organic groups is important for their applications. In this work, yolk–shell‐structured periodic mesoporous organosilica (PMO) nanoparticles simultaneously incorporated with ethane‐, thioether‐, and benzene‐bridged moieties are successfully synthesized. The preparation of the triple‐hybridized PMOs is via a cetyltrimethylammonium bromide‐directed sol–gel process using mixed bridged silsesquioxanes as precursors and a following hydrothermal treatment. The yolk–shell‐structured triple‐hybridized PMO nanoparticles have large surface area (320 m² g^–1), ordered mesochannels (2.5 nm), large pore volume (0.59 cm³ g^–1), uniform and controllable diameter (88–380 nm), core size (22–110 nm), and shell thickness (13–45 nm). In vitro cytotoxicity, hemolysis assay, and histological studies demonstrate that the yolk–shell‐structured triple‐hybridized PMO nanoparticles have excellent biocompatibility. Moreover, the organic groups in the triple‐hybridized PMOs endow them with an ability for covalent connection of near‐infrared fluorescence dyes, a high hydrophobic drug loading capacity, and a glutathione‐responsive drug release property, which make them promising candidates for applications in bioimaging and drug delivery.     

A Green's function time‐domain boundary element method for the elastodynamic half‐plane

The transient Green's function of the 2‐D Lamb's problem for the general case where point source and receiver are situated beneath the traction‐free surface is derived. The derivations are based on Laplace‐transform methods, utilizing the Cagniard–de Hoop inversion. The Green's function is purely algebraic without any integrals and is presented in a numerically applicable form for the first time. It is used to develop a Green's function BEM in which surface discretizations on the traction‐free boundary can be saved. The time convolution is performed numerically in an abstract complex plane. Hence, the respective integrals are regularized and only a few evaluations of the Green's function are required. This fast procedure has been applied for the first time. The Green's function BEM developed proved to be very accurate and efficient in comparison with analogue BEMs that employ the fundamental solution. Copyright © 1999 John Wiley & Sons, Ltd.     

A wideband fast multipole algorithm for two‐dimensional volume integral equations

This paper describes a wideband fast multipole algorithm (FMA) for the computation of two‐dimensional volume integral equations. Our previous paper presented the wideband FMA by switching between the diagonal and non‐diagonal forms according to cell size and required accuracy. In order to improve the efficiency of the algorithm, we use interpolation and filtering techniques. Moreover, we introduce a simple and efficient way to store sequences of the special functions and their discrete Fourier transforms. Numerical examples show that the computational and memory complexities are reduced from O(N²) to O(N), where N is the number of square elements followed by the discretization of the volume integral equations. The computation results show very good agreement with the analytical solutions. We present some numerical results for the computation of scattering from a cylindrical object with sharp edges and a Gaussian‐like inhomogeneous cylinder. Copyright © 2008 John Wiley & Sons, Ltd.     

A dual‐primal FETI method for solving a class of fluid–structure interaction problems in the frequency domain

The dual‐primal finite element tearing and interconnecting method (FETI‐DP) is extended to systems of linear equations arising from a finite element discretization for a class of fluid–structure interaction problems in the frequency domain. A preconditioned generalized minimal residual method is used to solve the linear equations for the Lagrange multipliers introduced on the subdomain boundaries to enforce continuity of the solution. The coupling between the fluid and the structure on the fluid–structure interface requires an appropriate choice of coarse level degrees of freedom in the FETI‐DP algorithm to achieve fast convergence. Several choices are proposed and tested by numerical experiments on three‐dimensional fluid–structure interaction problems in the mid‐frequency regime that demonstrate the greatly improved performance of the proposed algorithm over the standard FETI‐DP method. Copyright © 2011 John Wiley & Sons, Ltd.     

Large‐Scale Fabrication of Core–Shell Structured C/SnO2 Hollow Spheres as Anode Materials with Improved Lithium Storage Performance

Due to the high theoretical capacity as high as 1494 mAh g^?1, SnO₂ is considered as a potential anode material for high‐capacity lithium–ion batteries (LIBs). Therefore, the simple but effective method focused on fabrication of SnO₂ is imperative. To meet this, a facile and efficient strategy to fabricate core–shell structured C/SnO₂ hollow spheres by a solvothermal method is reported. Herein, the solid and hollow structure as well as the carbon content can be controlled. Very importantly, high‐yield C/SnO₂ spheres can be produced by this method, which suggest potential business applications in LIBs field. Owing to the dual buffer effect of the carbon layer and hollow structures, the core–shell structured C/SnO₂ hollow spheres deliver a high reversible discharge capacity of 1007 mAh g^?1 at a current density of 100 mA g^?1 after 300 cycles and a superior discharge capacity of 915 mAh g^?1 at 500 mA g^?1 after 500 cycles. Even at a high current density of 1 and 2 A g^?1, the core–shell structured C/SnO₂ hollow spheres electrode still exhibits excellent discharge capacity in the long life cycles. Consideration of the superior performance and high yield, the core–shell structured C/SnO₂ hollow spheres are of great interest for the next‐generation LIBs.     

Comparison of the Mechanical Behaviour of Standard and Auxetic Foams by X‐ray Computed Tomography and Digital Volume Correlation

The tensile behaviour of standard and auxetic polyurethane foams are contrasted by digital volume correlation of 3D images collected by in situ X‐ray computed tomography (CT). It was found that subset sizes of 32 and 64 voxels for the auxetic and standard foams were optimal for strain resolutions in the order of 0.1%. For the standard foam, good uniformity of strain was observed at low strains giving a tangent Poisson's ratio of 0.5. Some heterogeneity of strain was observed at higher strains, which may be related to the fixtures. The behaviour of the auxetic foam was totally different, with strain being spatially heterogeneous with transverse strains both positive and negative but giving a negative Poisson's ratio on average. This suggests that the unfolding tendency of some groups of cells was higher than others because of the complex frozen starting microstructure. Further different methods of deriving Poisson's ratio gave different results. Besides revealing interesting microstuctural mechanisms of transverse straining, the study also shows digital volume correlation of tomography sequences to be the perfect tool to study complex mechanical behaviour of cellular materials.