A Note on mori-tanaka's method

Explicit expressions of Mori-Tanaka's tensor for a transversely isotropic fiber reinforced UD composite are presented. Closed-form formulae for the effective elastic properties of the composite are obtained. In a 3D sense, the resulting compliance tensor of the composite is symmetric. Nevertheless, the 2D compliance tensor based on a deteriorated Mori-Tanaka's tensor is not symmetric. Nor is the compliance tensor defined upon a deteriorated 2D Eshelby's tensor. The in-plane effective elastic properties given by those three approaches are different. A detailed comparison between the predicted results obtained from those approaches with experimental data available for a number of UD composites is made.