Study on Edge Fracture of Abrasive Grain during Grinding with Applying the Theory of Markov Process (2nd Report)

In order to examine the fracture characteristics as Markov process, a fracture test of WA single grain in a modified form of surface grinding is carried out. Using the instrument reported in the previous paper, created topography of grain cutting edge by the fracture is identified into the 10 representative models proposed and the transition probabilities between the models are obtained. The probability is found to be homogeneous and to satisfy the elementary Markov property. Concerning the fracture onset, it is found that exponential distribution always conforms with variation of the onset probability with number of the cutting, though the parameter value of the distribution depends upon the edge models. The fracture onset thus appears to also satisfy the requirements as Markov process. A formulation of analysis as Markov process to obtain variation of the edge shape distribution during grinding is proposed and some preliminary results of the analysis are discussed.