This work consists of a theoretical-analytical modeling using applications of intelligent materials, called shape-memory alloy (SMA), in scramjet engines varying the speed from Mach 7 to 14. Through the shockwave relationships, the angles, the Mach number and the recoil distance at the leading edge of the cowl were found out, to select the SMA that has the best deformation recovery. After using the theoretical Auricchio model, the superelastic behavior of the alloys was observed for different elastic properties in the austenite and martensite phases to perform a computational simulation, using the finite element method in Solver ANSYS, in order to represent the performance of the material in a simpler way.