A Continuous Dynamic Constitutive Model of Shape Memory Alloys

An improved one-dimensional, continuous, dynamic constitutive model for shape memory alloys (SMAs) to describe both the shape memory effect (SME) and the super elasticity effect (SE) of the SMAs was developed in this paper. The work presented was based on the previous work of Kazuhiko Arai, who used the energy analytical method to construct a continuous mathematical model for control analysis. The improved model, which considered the influences of the phase transformation and various strain rates of the SMAs, was set up based on a serious of experiments. Some parameters, including an error function, were determined based on the results of the experiments. The numerical simulation results using the developed model matched well with the experiment results.