In this paper, we discuss results from the new viscoplastic non-linear intermediate ϕ-model for crystal plasticity. We used this viscoplastic ϕ-model in order to compute several properties and indicators directly connected to the formability of FCC polycrystalline metals. For instance, the yield locus, the Lankford coefficients and the typical FCC rolling texture component and their evolution during plastic deformation are computed. We also compare our results to those predicted by the tangent viscoplastic self-consistent model as well as those obtained by the upper and lower bounds (Taylor and Static). Results concerning FCC metals subjected to plane strain compression (commonly used for the approximation of the rolling process) are presented. As in the self-consistent scheme, the viscoplastic ϕ-model takes into account the strength of grains interactions. The influence of the grain interaction on predicted results is discussed. This analysis of the change in predicted results for different values of the parameter controlling the grain interaction strength (from a stiff to a more compliant interaction) shows that the results depend strongly on ϕ.