The high temperature flow behavior modeling of NiTi shape memory alloy employing phenomenological and physical based constitutive models: A comparative study

•The high temperature flow behavior of NiTi shape memory alloy has been predicted.•The flow behavior has been modeled in wide range of temperatures and strain rates.•ZA physical based and Arrhenius type phenomenological models have been adapted.•In comparison Arrhenius type model has predicted the flow behavior more accurately.

The present study was conducted to examine the constitutive behavior of a near equiatomic Nickel Titanium shape memory alloy through modified Zerilli–Armstrong and Arrhenius type models. The acquired flow stress data from isothermal hot compression tests in a temperature range of 700–1100 °C and under the strain rates of 0.001–0.1 s−1 was employed to calculate the material constants thereby properly establishing the corresponding constitutive equations. Furthermore, a comparative study has been made on the capability of the aforementioned models to predict the high temperature flow behavior of the adapted shape memory alloy. This was performed by comparing the prediction relative errors, average absolute relative error and correlation coefficient. The results show that Arrhenius type equation predicts the flow behavior more accurately than the Zerilli–Armstrong one. However, the latter requires lesser material constants and running time to be established.