A numerical method for rolling contact problems with traction force and differential slip
A numerical method is given for the solution of rolling contact problems with traction force and differential slip where the semi-infinite body approximation can be used. A special boundary element method is used with Boussinesq's solution and Cerruti's solution as the Green's functions. The theoretical basis of differential slip with traction force is described in a manner where the physical meanings of the problems can be understood directly. The amount of wear is derived based on sliding velocity. The following results were obtained: (1) The fractional pressure perpendicular to the rolling direction causes the contacting bodies to always slip near the trailing edge, including the pure rolling line. And proceeding along the trailing edge the frictional pressure and sliding directional vectors gradually change their magnitude and direction. (2) The shape of the contact area differs slightly between the upper and lower elastic bodies due to the difference in elastic deformation at the leading edge.
contact problem boundary element method boussinesq's solution cerruti's solution wear rolling contact differential slip