Modeling of surface topography of mechanochemical superabrasive stone containing CeO₂ abrasive

Abstract

Our goal is the development of a design system for mechanochemical superabrasive stones containing both cBN and CeO₂ abrasives. As the first step, we have already developed a morphological structure model for the stone using fractal modeling techniques. As the second step, this paper describes the surface topography model for the stone. We have already proposed a surface topography model for the stone containing only cBN grains. This model can describe the surface topography with the same fractal dimension of grain distribution as the morphological structure model. Therefore, we have improved the model by preparation of the describing parameters for each grain and the changes in these parameters through the describing algorithm. As a result, the model bears resemblance to the real stone in topography and fractal dimension in each grain of the topography model is approximately equal to the morphological structure model.