“…Because the explicit FEM fully couples the calculation of wheel/rail dynamic responses with the calculation of wheel-rail contact, the validity of the transient impact contact solutions simulated in this paper may be confirmed by separately validating the quasi-steady contact solutions and wheel/rail dynamic responses. Quasi-static frictional rolling contact solutions calculated by the explicit FEM including contact area, pressure, surface shear stress and micro-slip have been shown to be accurate via comparisons with Hertzian and CONTACT solutions [23,24] , whereas the simulated structural dynamic responses to wheel-IRJ impact have been validated by a comprehensive field measurement in [1] . In addition, by presenting the rail surface vibrating velocities calculated at consecutive time steps, regular wave patterns were observed in this study, which provide more evidence for the reliability of the results.…”