抄録
In the previous studies, the overall elastic moduli were theoretically determined for a composite material containing anisotropic ellipsoidal inhomogeneities randomly distributed in an isotropic matrix. In that study, as the macrostress which acts in an arbitrary direction had already been determined, an analytical theory in which local regions are considered was proposed, as well as a general analytical formula, and their validities were also proved. In this study, for the same composite material as used in the previous study, an analysis was performed on the interactions among inhomogeneities and on the interaction between those inhomogeneities and the matrix. Firstly, based on the Eshebly model, with a view to considering the interactions between the inside and the outer local boundaries, the influential factors on elastic compliance were determined. Secondly, using the factors based on the Reuss model, self-consistent conditions of the Kröner model were presented. Thirdly, general formulations were examined based on their conditions, and the overall elastic moduli of composite material were clarified. Furthermore, using the example of SiC fibers randomly distributed in an isotropic aluminum matrix, numerical results are provided.
