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针对纤维束增强相在基体材料中的分布方式不同,建立了由固体基体和纤维束增强相两相介质组成的复合材料细观力学模型。假设该模型的细观结构呈周期性均匀分布,纤维束内的纤维接触是光滑的。采用二尺度展开法计算了复合材料的有效性能,得出了不同微结构分布的复合材料的刚度系数、横向弹性模量、泊松比和剪切模量随纤维束体分比的变化曲线,并将数值结果与实验数据进行了比较。研究表明,数值结果与实验数据有较好的吻合,增强相的分布直接影响到复合材料的力学性能。
Aiming at the different distribution modes of fiber reinforced phase in matrix material, a micromechanical model of composite material consisting of solid matrix and fiber reinforced phase two-phase medium was established. It is assumed that the mesostructure of the model is uniformly and periodically distributed, and the fiber contact within the fiber bundle is smooth. The effective properties of the composites were calculated by two-scale expansion method. The stiffness coefficient, transverse elastic modulus, Poisson’s ratio and shear modulus of the composites with different microstructures distribution were obtained. The numerical results are compared with the experimental data. The results show that the numerical results are in good agreement with the experimental data. The distribution of the enhanced phase has a direct impact on the mechanical properties of the composites.