An inverse thermal-mechanical analysis of the hot torsion test for calibrating the constitutive parameters

► FE formulation for thermal coupling at the state variable level. ► Inverse solution of the hot torsion test for calibration of the PCPs. ► Variations of the PCPs based on a polynomial sub-model and the SCPs. ► Calibrating the PCPs of a sinh constitutive equation by an inverse solution. ► A new approach was suggested to estimate the minimum polynomial's order.