At a first stage of the ViFoMeTi project, the ER has started by gathering all the available digital image correlation (DIC) data from IRDL lab own database which consisted in tensile tests performed using a Gleeble machine on Ti-xMo alloys (x=10, 12, 15 and 18 % wt as the available different compositions of the alloy) at 2 different applied strain rates (10-3 and 10-4 s-1) and 2 different temperatures (250 and 350 ºC). Then, numerical models intended to replicate the Gleeble tensile tests have been developed using input data extracted from the experimental DIC data post-processing (temperature fields, hardening curves, displacements curves and material elastic properties). Finally, a user subroutine has been implemented to include the occurrence of plastic instabilities in the numerical models using the Estrin-Kubin-McCormick (EKMC) constitutive model. To validate this subroutine and ensure the reliability of results, the results of numerical models using the subroutine (without considering the plastic instabilities) have been compared with the results of the same Abaqus models (1) using the material data in a tabular format and (2) using an equivalent Abaqus built-in material model. Additionally, a sensitivity analysis on the influence of the EKMC model parameters to reproduce the plastic instabilities has been performed to provided better insights on the methodology and to facilitate the required model adjustments to replicate the different thermo-mechanical material behaviours for the different temperatures, strain rates and compositions.