基于有限元的金属基短纤维复合材料MMC的一种统计蠕变模型

在有限元分析的基础上建立了一个单向应力状态下金属基短纤维复合材料（MMC）的统计蠕变模型。首先建立细胞模型并进行有限元分析，得到了单向应力状态下材料细观尺寸及载荷方向对宏观蠕变响应的影响规律。通过在细胞模型中增加一界面层（考虑材料特性和厚度）来研究基体和纤维的界面对MMC宏观蠕变响应的影响。基于细胞模型的数值结果，提出了一适用于纤维平面随机分布的随机统计模型，该模型考虑了纤维的断裂。通过试验获得纤维的统计分布规律。分析结果表明随机统计模型可以满意地描述试验结果，进一步讨论了材料细观尺寸，纤维的断裂特性以及界面层的材料特性和厚度对MMC宏观蠕变响应的影响。

Statistic Modeling of the Creep Behavior of Metal Matrix Composites Based on Finite Element Analysis

The aim of the paper is to discover the general creep mechanisms for the short fiber reinforcement matrix composites (MMCs) under uniaxial stress states and to build a relationship between the macroscopic steady creep behavior and the material micro geometric parameters. The unit cell models were used to calculate the macroscopic creep behavior with different micro geometric parameters of fibers on different loading directions. The influence of the geometric parameters of the fibers and loading directions on the macroscopic creep behavior had been obtained, and described quantitatively. The matrix/fiber interface had been considered by a third layer, matrix/fiber interlayer, in the unit cells with different creep properties and thickness. Based on the numerical results of the unit cell models, a statistic model had been presented for the plane randomly-distributed-fiber MMCs. The fiber breakage had been taken into account in the statistic model for it starts experimentally early in the creep life. With the distribution of the geometric parameters of the fibers, the results of the statistic model agree well with the experiments. With the statistic model, the influence of the geometric parameters and the breakage of the fibers as well as the properties and thickness of the interlayer on the macroscopic steady creep rate have been discussed.