Corrective smoothed particle method (CSPM) has been used to study the dynamic behavior of targets with different materials; AL, ALN and AL-ALN FGM in long rod penetration of an AL projectile. A mixed strength model with sigmoid formulation has been used to describe both yielding and fracture phenomena in the FGM. The strength model includes the JC dynamic yield relation and JHB fracture model with a continuum damage description approach. An efficient renormalization in continuity density approach is used to improve the SPH approximation of boundary physical variables. This study shows that the CSPM method in combination with the proper strength model describing the FGM dynamic behavior, can predict the mixed plastic and brittle response of different materials in long rod penetration problems.