A thermo-dynamical constitutive model based on kinetic approach for shape memory materials

The technological application of nickel-titanium shape memory alloys (SMA) requires a constitutive model that can be easily implemented into numerical methods. For these reasons, macroscopic constitutive models have gained ground in SMA designs. A new model is developed that encompasses all the characteristics of these materials over the whole range of transformation temperatures, several macro-mechanical properties and evolution of martensite fraction. A finite element scheme is proposed to solve a semi-inverse dynamic problem. For a prescribed temperature range and external stress-boundary conditions, the outcomes are the possibility to identify the required electrical current density.