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The aim of this work is to propose a new approach based on the well known inherent strain method for simulation of residual stresses induced by drilling processes. The approach proposed has the interest of considering the thermal history by means of a 3D thermo- viscoplastic model. An original thermomechanical loading is first deduced and applied on the surface of the final geometry of the drilled workpiece. For the first time, an inherent strain field is also added to represent the effect of the high strain rate during the drilling operation in subsurface. In this work, the inherent strain is calibrated for a case study with lubrication on TA6V by means of the optimization of a thermo-elasto-plastic analysis coupled with experimental measurements. Without modifying the inherent strain field, a similar dry drilling operation without lubrication has been simulated with very satisfactory and promising results.