抄録
Macroscopic elastic stiffness of a composite material may depend upon both the geometry and the orientation of reinforcements containing in the material in addition to their elastic moduli. In the present study, general expression for macroscopic elastic compliance of a composite material, in which many kinds of reinforcements with different aspect ratios and orientations are contained, are derived by using the equivalent inclusion method combined with the Mori-Tanaka theorem. In the analysis, the expression of the equivalent eigenstrain for each reinforcement is derived with respect to the local coordinate system based on its semi-axes and then it is transformed to the global coordinate system. Moreover, numerical calculation is performed to a flake-reinforced composite with a type of orientation distribution of the reinforcements. As a result, the number of independent terms of the macroscopic elastic compliance is found to be 13.
