A probabilistic model of the grinding process

This paper presents an advanced probabilistic model of the grinding process considering the random arrangement of the grain vertices at the wheel active surface. The general model has been developed based on well-founded assumptions. The process of shaping the ground surface roughness, the probability of contact between the grains and the work-material as well as the undeformed chip thickness are described along the grinding zone. Eight special models obtained by substituting general relationships with special functions are also presented. The calculations performed for the special models lead to interesting conclusions relating to the real length of the grinding zone, which is considerably longer than the nominal (geometric) contact length, taken by default in most known approaches.