“…In addition to the studies of wheel-rail contact solutions [21,22] and contact characteristics [23][24][25][26][27][28], previous studies on wheel-rail interactions with the explicit FEM also include the studies of wheel-rail impact contact (at the rail joint [29][30][31][32][33], squat [34][35][36][37][38][39][40], crossing nose [41][42][43][44][45][46] and crack [47]), studies of flange contact [12,48,49] and track dynamic behavior [39,50,51]. These studies have generally employed algorithm-optimized commercial programs, e.g., ANSYS/LS-DYNA and ABAQUS/Explicit, to efficiently process the large amounts of elements required in the detailed modeling of wheel/track structures and perform time integration with tiny time steps.…”