炭黑增强橡胶复合材料的大变形细观力学模型

为考察炭黑对橡胶复合材料超弹性力学行为的影响,首先,利用不同填充体积分数的炭黑增强橡胶复合材料的准静态力学试验数据,对现有的基于均质化方法的"变形放大"细观力学模型的大变形表征能力进行了评估。其次,在此基础上提出了新的"第一不变量放大"关系,并获得了较为合理的预测结果。最后,利用随机序列吸附算法建立了较接近材料真实细观结构的球形颗粒填充数值模型,进行了大变形情况下的三维数值模拟;为考察颗粒聚集效应的影响,还设置了颗粒均匀随机分布和团聚随机分布两种形式。计算结果与试验数据的对照表明:提出的三维细观数值模型已经能在一定程度上预测填充橡胶的大变形宏观力学行为,且颗粒团聚随机分布模型的预测能力更好一些。试验结果验证了该模型的合理性,所建模型为进一步的相关研究提供了参考。     

Creep fracture modeling by use of continuum damage variable based on Voronoi simulation of grain boundary cavity

A new approach to creep cavitation damage is developed by combining the basic features of continuum damage mechanics and mechanism-based cavitation models. Based on a polycrystal microstructures simulated by Voronoi tessellation, an anisotropic continuum damage variable is defined, and its evolution is given by applying the mechanism-based equations of cavity nucleation and growth to each grain boundary. Macroscopic creep deformation coupled with the damage variable is calculated by damage mechanics equations. The proposed method has been applied to investigate the damage evolution under uniaxial tension and reversed shear loading conditions.     

不同细观力学方法预测高聚物粘结炸药有效模量的比较

高聚物粘结炸药（PBX）不同于普通颗粒增强复合材料,其颗粒含量超过85%,组分弹性模量相差3~4个数量级,导致其有效模量的细观力学理论预测出现很大偏差。结合有限元细观模拟,对Mori-Tanaka法、自洽法、微分法3种细观力学方法的预测结果进行了比较分析。结果表明：界限法上下界之间有量级上的差异;当颗粒含量小于10%,颗粒间相互作用较小,不同方法计算的有效模量差异不大;含量大于20%时,颗粒间相互作用增强,3种解析法预测的结果逐渐出现差异,而微分法与有限元结果比较接近;当颗粒含量为94.9%,微分法预测的PBX杨氏模量比实测值高3.7%,Mori-Tanaka法和自洽法结果都有量级上的偏差;对于颗粒含量高、组分性能反差大的复合材料,微分法较合理地计及了颗粒间的相互作用,能较准确地预测其有效模量。     

Modeling of multi-inclusion composites with interfacial imperfections:Micromechanical and numerical simulations

A micromechanical approach based on a two-layer built-in model and a numerical simulation based on boundary element method are proposed to predict the effective properties of the multi-inclusion composite with imperfect interfaces.The spring model is introduced to simulate the interface imperfection.These two methods are compared with each other,and good agreement is achieved.The effects of interface spring stiffness,volume ratio and stiffness of inclusions on the micro-and macro-mechanical behaviors of fib...     

Advanced resonant ultrasound spectroscopy for measuring anisotropic elastic constants of thin films

This paper presents an advanced resonant ultrasound spectroscopy (RUS) method to determine the elastic constants C_ij of thin films. Polycrystalline thin films often exhibit elastic anisotropy between the film growth direction and the in‐plane direction, and they macroscopically show five independent elastic constants. Because all of the C_ij of a deposited thin film affect the mechanical resonance frequencies of the film/substrate layer specimen, measuring resonance frequencies enables one to determine the C_ij of the film with known density, dimensions and the C_ij of the substrate. Resonance frequencies have to be measured accurately because of low sensitivity of the C_ij of films to them. We achieved this by a piezoelectric tripod. Mode identification has to be made unambiguously. We made this measuring displacement–amplitude distributions on the resonated specimen surface by laser Doppler interferometry. We applied our technique to copper thin film and diamond thin film. They show elastic anisotropy and the C_ij smaller than bulk values of C_ij. Micromechanics calculations indicate the presence of incohesive bonded regions.     

Mechanical Properties of Porous Materials

Porous materials are commonly found in nature and as industrial materials such as wood, carbon, foams, ceramics and bricks. In order to use them effectively, their mechanical properties must be understood in relation to their micro-structures. This paper studies the mechanical properties of a few common porous materials: carbon rods, ceramics, polymeric foams and bricks. The characterisation of pore structures was performed using a Mercury Porosimeter. Detailed information was obtained on the density, porosity, surface area and pore size distribution. A large number of experiments on either bending or compression were conducted in order to obtain their macro-mechanical properties such as Young's modulus, hardness and strength. Based on the experimental observations, theoretical models were employed to predict the macro-properties from the micromechanics viewpoint. By studying the deformation of pores the global behaviour was calculated. Two simple formulae for the elastic modulus, E, were proposed: for low values of porosity, , E = E⁰(1 – 2) (1 + 4²) where E⁰ is the elastic modulus when the porosity is zero; for high value of porosity such as for foams E = E⁰ (1 – )². The theoretical results agreed well with the experimental ones. The study has provided insights into the mechanical properties of porous materials over a wide range of porosity values.     

Analysis of clustering, interphase region, and orientation effects on the electrical conductivity of carbon nanotube-polymer nanocomposites via computational micromechanics

A multiscale model based on computational micromechanics techniques is developed for determining the effective electrical conductivity of carbon nanotube-polymer nanocomposites containing bundles of SWCNTs at a wide range of SWCNT volume fractions above and below the observed percolation concentrations. The model is applied for both randomly oriented and fully aligned nanotube bundle orientation distributions, with emphasis on the latter in elucidating the relative impact of clustering and nanoscale effects on the effective electrical conductivity of nanocomposites. Nanocomposites consisting of aligned, well-dispersed and clustered/bundled SWCNTs are studied to indicate the influence of clustering on the effective electrical conductivity. A parametric study in terms of interphase thickness and interphase conductivity for both the well-dispersed and clustered arrangements is conducted to allow for the assessment of both the independent influence of the interphase layer and of the combined effects of clustering and interphase regions on the effective electrical conductivity of nanocomposites with aligned SWCNTs. Effective nanotube bundle properties obtained from clustered nanotube arrangements both with and without interphase regions are subsequently applied in an orientation distribution homogenization technique in order to obtain the effective electrical conductivity of nanocomposites consisting of randomly oriented SWCNT bundles. The resulting nanocomposite electrical conductivities are compared with characterization data available in the literature, and are discussed in terms of two mechanisms proposed in the literature for the low volume fraction electrical percolation observed in nanocomposites.     

Effective Moduli Evaluation of Carbon Nanotube Reinforced Polymers Using Micromechanics

A multistep homogenization method is adopted to compute the effective moduli of carbon nanotube reinforced composites. The composite is assumed to be reinforced with isolated individual fibers and clustered fibers. A uniform agglomeration model is introduced assuming constant carbon nanotube cluster size throughout the matrix. Agglomeration volume fraction—a critical parameter in the simulation—is considered to be an explicit function of inter-particle distance and quality of dispersion of fibers. The micromechanics model also incorporates random fiber orientation using a statistical approach. It is seen that these parameters reduce the stiffening effect of carbon nanotubes significantly in the composite.     

Three‐dimensional numerical modelling by XFEM of spring‐layer imperfect curved interfaces with applications to linearly elastic composite materials

The spring‐layer interface model is widely used in describing some imperfect interfaces frequently involved in materials and structures. Typically, it is appropriate for modelling a thin soft interphase layer between two relatively stiff bulk media. According to the spring‐layer interface model, the displacement vector suffers a jump across an interface whereas the traction vector is continuous across the same interface and is, in the linear case, proportional to the displacement vector jump. In the present work, an efficient three‐dimensional numerical approach based on the extended finite element method is first proposed to model linear spring‐layer curved imperfect interfaces and then applied to predict the effective elastic moduli of composites in which such imperfect interfaces intervene. In particular, a rigorous derivation of the linear spring‐layer interface model is provided to clarify its domain of validity. The accuracy and convergence rate of the elaborated numerical approach are assessed via benchmark tests for which exact analytical solutions are available. The computated effective elastic moduli of composites are compared with the relevant analytical lower and upper bounds. Copyright © 2011 John Wiley & Sons, Ltd.