Fracture onset coefficients and edge shape transition probabilities made it possible to evaluate the edge fracture characteristics of abrasive grain rationally. By grinding tests of single grain, these probabilities were determined for five materials: regular aluminum oxide, white aluminum oxide, single crystal aluminum oxide, green silicon carbide and black silicon carbide. Using these probabilities, transitions of edge shape distributions were calculated by applying the theory of Markov process to clarify the difference of abrasive materials in edge fracture. As a result, these probabilities proved to be an appropriate index for edge fracture characteristics of grinding grain materials.
