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Communicated by I. SevostianovGalfenol offers potential opportunities to build composite materials with higher magnetoelectric (ME) coupling coefficients. This work is mainly focused on exploring the ME coupling in composites made with Galfenol. A revision of effective properties estimation is based on the prediction obtained through an implementation of the asymptotic homogenization method for magneto-electro-elastic composites considering two types of composites: laminated and fiber reinforced. As constituents, Barium Titanate is considered as the piezoelectric phase and Galfenol as the magnetostrictive one. For the sake of comparison, Terfenol-D and Cobalt Ferrite are also considered. The herein obtained ME coefficients are higher than most ones reported in the literature when comparison is possible. In the literature, two types of ME coefficients can be found: one is the voltage ME, reported in V/cmOe, and the other one is the coupling ME reported in Ns/VC. Herein, we focused on the connection between these coefficients in order to facilitate the application of the coupling ME calculated by asymptotic homogenization method on the experimental measured voltage ME coefficient.Also for a quasi-static approximation, the electric E and magnetic H fields and his relations with their respective potentials and are known by means of the quasi-static Maxwell's equations: