On the closed form expression of the Mori-Tanaka theory prediction for the engineering constants of a unidirectional fiber-reinforced ply

The Mori-Tanaka theory is well-known as one of the most accurate approximations of mechanical properties of composite materials in structural analysis. However, while the closed form expressions of its predictions for elastic stiffness constants are available, so far it has lacked similar expressions for the engineering constants typically required in applied engineering structural analysis. In this study, we provide a closed form expression of the Mori-Tanaka theory prediction for the engineering constants of a unidirectional fiber-reinforced ply including the expression for the transverse modulus.