The transformation kinetics formulation is the principal factor underlying the constitutive
model of shape memory alloys. Therefore, the transformation kinetics formulation, which is
applicable to any status of stress and temperature, is essential for predicting the material behavior of
SMAs. In this work, we show that the transformation kinetics of the Brinson model, which is the
most widely used 1-dimensional model, has shortcomings under certain stress and temperature
histories. In addition, we propose a modified transformation kinetics model that can be used for any
stress or temperature conditions. The martensite transformation kinetics is modified so that the
transformation from austenite into temperature-induced martensite, due to the decrement of
temperature, is coupled with a transformation from austenite or temperature-induced martensite into
stress-induced martensite, due to the increment of the stress. Through this modification, the
suggested model can simulate the behavior of shape memory alloy materials under arbitrarily
changed circumstances at every stress-temperature region.
A comparative analysis of some one-dimensional shape memory alloy constitutive models based on experimental tests
