An analytical consideration on the face grinding mechanism is made by statistical method. As the result, the theoretical equations for the rate of effective cutting edges and the distribution of grain depth of cut, grain cutting area and roughness of ground surface in the perpendicular section to grinding direction are obtained.
Furthermore, in order to estimate the influence of elastic displacement of grain cutting edges on them, Monte-Carlo simulation is performed. As the result, it is found that the existence of elastic displacement of grain cutting edges increases the number of effective cutting edges but has a little effect on the roughness of ground surface.