【摘要】 基于BCC点集引入不同程度的随机扰动建立了闭孔泡沫的Voronoi随机模型,并采用有限元方法对其弹性性能进行了分析,得到了模型的相对弹性模量、泊松比以及表征其分散性的变异系数。讨论了所用模型的尺度效应、随机程度对弹性性能及其分散性的影响。此外,还讨论了相对密度对弹性性能的影响以及采用板壳单元对模型进行划分所带来的误差。结果表明,在相对密度小于0.3时采用厚度均匀的板壳单元可以对模型做出有效的描述。更多还原

【Abstract】 On the basis of different random disturbances on the BCC points set, the Voronoi random models for closed-foam are established. The elastic properties of those models are analyzed by finite element method, and the relative elastic modulus, Poisson’s ratio and the coefficient of variation which describes their dispersion are obtained. The model size and random level dependence of the elastic properties and their dispersion are discussed. Further more, the influence of relative density on the elastic properties and the error induced by meshing the model with shell elements are also discussed. The results indicate that the model can be sufficiently described by the collection of shells with uniform thickness while the relative density is less than 0.3.更多还原