This technical note presents a macroscopic model capable to estimate the variation of hardness and yield stress at different railhead distances (depths) from the running surface. Published data, including results reported in past work by the authors, have been utilised to calibrate and test the validity of the model. From this preliminary investigation it was found that the model can predict accurately the measured hardness and yield stress values, as well as represent the variation profile exhibited in the examined railhead material. This model, subject to further validation, has the potential to be used in practical applications