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。
For different distributions of the fiber bundles in matrix materials, a micromeehanical model was developed to investigate the effective properties of the composites. The composites consist of a solid matrix and fiber bundles. It is assumed that the composite has a periodic microstructure and the contact between fibers in the fiber bundle is smooth. The stiffness coefficients, transverse Young's modulus, shear modulus and Poisson ratio of the composites are calculated by the two- scale expansion method. The numerical results are compared with the experimental data. It is indicated that the distributions of the fiber bundle can directly affect the effective properties of the composites.