Realistic friction coefficient model between a rolling cylindrical element and a deformable flat surface

A varying friction coefficient model between a rolling cylindrical element and a deformable flat surfaces is predicted. The flat surface is assumed to undergo plastic deformation while sliding under the cylindrical rolling element. Current research models are modified using a technique in which the contact region is analyzed in a piecewise manner from the entry to the exit points and the instantaneous coefficient of friction extracted for each element. The model revealed that friction coefficient is a function of the roll angle, and also that, the function between friction coefficient and the roll angle is not a continuous function within the contact region. This phenomenon is consistent with the physics of contact rolling friction.