Determination of the effective elastic properties of unidirectional short fiber reinforced composites (SFRCs) is a key fundamental requirement which is usually estimated by mean-field homogenization (MFH) methods. Available classical MFH methods only account for volume fraction and aspect ratio of the fibers and do not consider the physical cylindrical geometry of the fibers. Moreover, classical MFHs are not designed for predicting the effective properties of SFRCs with distinct packing configurations and order of fibers. In this work, new modified Eshelby tensors associated with an enhanced MFH are developed which resolve the mentioned limitations of the available MFH methods and preserve their computational efficiency. While classical Eshelby tensors used in MFHs depend only on the aspect ratio of the fictitious ellipsoidal inclusion and material properties of the matrix, the introduced modified Eshelby tensors additionally account for physical cylindrical geometry as well as interactions of the short fibers with different packing configurations. Moreover, non-uniform homogenizing eigenstrains required for accurate homogenization of the short fibers are also incorporated by the proposed analytical treatment. Predictions of the developed enhanced MFH for various packing configurations are compared with those obtained from Finite Element Method implementing periodic boundary conditions and very good agreements are observed. It is shown that packing configuration and geometrical specifications of short fibers can significantly affect the effective properties of the SFRC.

确定单向短纤维增强复合材料 (SFRC) 的有效弹性性能是一个关键的基本要求，通常通过平均场均化 (MFH) 方法进行估计。可用的经典 MFH 方法仅考虑纤维的体积分数和纵横比，而未考虑纤维的物理圆柱几何形状。此外，经典 MFH 并非设计用于预测具有不同填充配置和纤维顺序的 SFRC 的有效性能。在这项工作中，开发了与增强型 MFH 相关联的新修改 Eshelby 张量，它解决了可用 MFH 方法的上述局限性并保持其计算效率。虽然 MFH 中使用的经典 Eshelby 张量仅取决于虚拟椭圆体夹杂物的纵横比和基质的材料特性，但引入的修改 Eshelby 张量还考虑了物理圆柱几何形状以及短纤维与不同填充配置的相互作用。此外，所提出的分析处理还包含了短纤维精确均匀化所需的非均匀均匀化本征应变。将针对各种填料配置开发的增强型 MFH 的预测与从实施周期性边界条件的有限元方法中获得的预测进行比较，并观察到非常好的一致性。