Abstract: This paper reviews the three-dimension Shape Memory Alloys constitutive relation present by Boyd and Langoudas. Since the nonlinear consitutive equation is difficult to be used in finite element method, a linear incremental consistutive equation is derived from the nonlinear one. The finite element equations in Total Lagrangian from are derived on the base of the linear increment constitutive equations and the program is also developed considering the effects of both stress and temperature. To verify the ...