S. Hagiwara et al., STUDY ON THE TRANSITION PROCESS OF DIAMOND GRAIN SHAPE IN STONE GRINDING, Journal of materials processing technology, 63(1-3), 1997, pp. 892-896
The edge fracture of a diamond grain plays an important role in heavy
grinding such as stone grinding, in which the self-dressing action of
the diamond grain keep up the edge sharpness and the stock removal. In
order to analyze the variation of the edge shape distribution of a di
amond grain during grinding, a new analysis method applying the theory
of the Marcov Process is proposed. The results are summarized as foll
ows: (i) the diamond grains have large probabilities of transition to
a sharp edge and small fracture onset probabilities, hence a high cutt
ing ability is maintained in steady state; (ii) the disappearance onse
t probabilities of diamond grains don't depend on the edge shape; and
(iii) these probabilities made it possible to evaluate transition proc
ess of the shapes of diamond grains.