An Improved Two-Dimensional Constitutive Law for Shape Memory Alloys
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 in the paper 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 the 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. Two examples are used to numerically validate the efficiency of the improved model and the results of the simulations show that the developed constitutive model can qualitatively describe the thermo-mechanical behaviors of two-dimensional SMAs.
B. Shirvani, R. Clarke, J. Duflou, M. Merklein, F. Micari and J. Griffiths
W. Wang et al., "An Improved Two-Dimensional Constitutive Law for Shape Memory Alloys", Key Engineering Materials, Vols. 410-411, pp. 429-437, 2009