根据网络碳纳米管／环氧树脂（ReticulateCarbonNanotubes／Epoxy，R-CNTs／EP）复合材料的结构特点，假设R-CNT均匀分布，建立了R-CNT／EP复合材料的三维有限元模型。利用有限元法分析了R-CNT／EP复合材料单胞的细观变形，用二尺度展开法计算了R-CNT／EP复合材料在不同应变下的有效刚度系数。分析结果表明：R-CNT／EP复合材料为各向异性材料，沿蒸汽流动方向的强度远大于其他方向的强度，且R-CNT的形状对R-CNT／EP复合材料的力学性能有显著影响，各刚度系数以及杨氏模量在Y型接头处各角相等时最大；R-CNT的体积分数对R-CNT／EP复合材料的力学性能有显著影响，各有效性能均随着R-CNT体积分数的增大而增大，但是增大程度不同。
A three dimensional microscopic model of the reticulate carbon nanotube/epoxy （R CNT/EP） composites was established according to its structural characteristics based on the assumption of the uniform distribution of R-CNT. The effective stiffness coefficients and Young＇s modulus of the R-CNT/EP composite were calculated by two-scale expansion method. It is shown that the mechanical properties of the R-CNT/EP composite are anisotropic and the strength along the direction of the vapor flow is much higher than that in other directions. The shape of the R-CNT plays an important role on the mechanical properties of the R-CNT/EP composite, and the effective stiffnesses and Youngrs modulus of the R-CNT/EP composites are the highest when the angles of the Y- junctions are equal. All of the effective stiffnesses and Young~s modulus of the R-CNT/EP composites are enhanced with the increase of volume fraction of R-CNT, but the influence degrees are different.
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