基于随机介质理论的复合材料孔隙二维形貌几何仿真

含孔隙复合材料具有非均质性和各向异性。根据随机介质理论,采取统计学方法,将孔隙看作是小尺度上的随机扰动,叠加于由基体构成的大尺度背景介质平均特性之上,并利用空间平稳随机过程以及自相关长度、自相关长度比、粗糙度因子及扰动标准差等参数加以描述,建立复合材料随机孔隙模型。该模型采取极值搜索法将连续随机介质改造为适合于描述含孔隙缺陷的离散介质,并依据不同孔隙率试样的孔隙形貌特征统计数据对其进行优化。针对孔隙率为0.03%~4.62%的碳纤维增强树脂基复合材料（CFRP）进行了模拟,结果表明：利用该模型能够得到具有与真实孔隙几何相似性良好的随机性孔隙形貌。

Geometric Simulation of 2-D Morphology of Voids in Composites Based on the Random Medium Model

Composite materials with voids are isotropic and inhomogeneous.Based on the random medium theory and statistical method,a new random void model（RVM） was proposed.This model treats the background medium as either large-scale homogeneous or slowly varying and characterizes the elastic fluctuations from voids as small-scale heterogeneities superimposed on the matrix,which could be described by a spatial autocorrelation function with zero mean and some statistic parameters.The peak search method is proposed to modify the continuous random medium into discrete medium and statistical data on the morphology of voids are used to optimize the random void model.The RVM of CFRP（Carbon Fiber Reinforced Polymer） composite specimens with a void content of 0.03%~4.62% are presented.It is found that the simulation results match well with the real void images.