Abstract
In this paper, the effect of the shape and distribution of anisotropic ellipsoidal inhomogeneity on the overall elastic moduli of a composite material is studied by equivalent model using the concept of local region from the viewpoint of micromechanics. The elastic moduli of such a material are theoretically analyzed, focusing on the cases of anisotropic ellipsoidal inhomogeneities or isotropic spherical inhomogeneitiesrandomly distributed in an isotropic matrix. Furthermore, using the example of SiC fibers or spherical SiC randomly distributed in an isotropic aluminummatrix, numerical results are provided. As a result of this study, it is found that the elastic moduli of such a material can be determined for an arbitrary volume fraction and shape of ellipsoidal inhomogeneities.
