This paper presented a theoretical model to investigate steady plastic shock wave on FCC metals. The method included shear flow stress according to effective parameters and based on microstructure and dynamics of dislocation method. The aim of this paper was to achieve final relation between shear stress and plastic stretch with presenting constitutive equations for shock loading. Then, Shear flow stress to effective plastic strain was plotted with solving final relation between shear flow stress and plastic stretch. Presented constitutive equations were based on loading under one dimensional strain and were validated just for shock loadings. The main innovation of this investigation included using from energy constitutive law with considering entropy generation rate. Entropy generation rate expressed as dislocation generation, dislocation annihilation and dislocation glide. Also, the effect of shock velocity, total stretch and input stress according to plastic stretch were investigated. Furthermore, shock structure was investigated according to different input stresses. Maximum input stress was 25 GPa. Relations and diagrams were verified with published experimental works on Al 6061 alloy. Good agreement was found between presented model and experimental works.