An improved two-dimensional constitutive model for Shape memory alloys (SMAs), which can describe both the shape
memory effect (SME) and super elasticity effect (SE) of the SMAs, is developed based on the previous work of Boyd
and Lagoudas, who used the thermodynamics theories of free energy and dissipation energy to derive the constitutive
law of SMAs. The improved model, which will combine the ideas of Brinsion's one-dimensional constitutive law and
the concepts of Boyd and Lagoudas' two-dimensional one, has a simple but accurate expression. The results of the
simulations show that the developed constitutive model can qualitatively describe the thermo-mechanical behaviors of
two-dimensional SMAs and can be used in the analysis of structures actuated by SMAs.
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