STUDY ON EDGE FRACTURE OF ABRASIVE GRAIN DURING GRINDING WITH APPLYING THE THEORY OF MARKOV PROCESS (2ND REPORT) - FRACTURE CHARACTERISTICSAS MARKOV PROCESS

In order to examine the fracture characteristics as Markov process, a fracture test of WA single grain in a modified form of surface grindin g is carried out. Using the instrument reported in the previous paper, topography of grain cutting edge created by the fracture is identifie d into the 10 representative models proposed and the transition probab ilities between the models are obtained. The probability is found to b e homogeneous and to satisfy the elementary Markov property. Concernin g the fracture onset, it is found that exponential distribution always conforms with variation of the onset probability with number of the c utting, though the parameter value of distribution depends upon the ed ge models. The fracture onset thus appears to also satisfy the require ments as Markof process. A formulation of analysis as Markov process t o obtain variation of the edge shape distribution during grinding is p roposed and some preliminary results of the analysis are discussed.