Computer simulation of the two-body abrasion process modeling the particle as a paraboloid of revolution

Two-body abrasive wear is a process with strong stochastic characteristic. Abrasive particle geometry, distribution and worn surface morphology can only be statistically determined and analytical models therefore always cause large inaccuracy. In this research, the earlier model of a particle as pyramid with a hemispherical tip has been replaced by a paraboloid model of revolution. In the pyramid model the normal load cannot be large enough to penetrate beyond the height of the hemisphere. Generally, in practice the hemisphere tip is quite small, and it readily penetrates into the surface. A new particle model has, therefore, been devised to extend the normal load range. New contact equations are proposed for the particle geometry used in the present model. The Monte Carlo method and finite element methods (FEMs) have also been combined to calculate the wear rate of the material during simulation. It is found that the linear wear rate increases continuously during the running-in process and reaches a constant value after some travel distance. Computed roughness and worn surface morphologies are in agreement with the experimental data. Finally, a comparison between simulated and experimented wear rates has also made. Both data matched very well.