Simulation of the stock removal in the contact zone during internal grinding of brittle non-metallic materials

OBRABOTKAMETALLOV Vol. 23 No. 2 2021 technology significantly affect the rate of material removal. The lateral feed also has a significant effect on stock removal, which is not represented directly in equations (2), (3) and (4), but determines the maximum microcutting depth f t and is calculated through the equation of the balance of displacements [17]. Fig. 2 shows a qualitative picture of the change in the probability of material removal in the contact zone when grinding holes in brittle non-metallic materials. Fig. 2. Change in the probability of removing the allowance in the contact zone when grinding holes in brittle non-metallic materials In Fig. 2, the position of the AБ line corresponds to the ratio of the removed and not removed parts of the material, taking into account the initial roughness of the workpiece surface. The position of the ВГ line makes it possible to trace the regularity of the change in the values of the probability of material removal after the end of the contact of the tool with the workpiece. The regularities of changes in the probability of material removal at fixed levels along the length of the contact zone are reflected in planes parallel to the plane ( ) P M , z . The position of the БВ line determines the pattern of stock removal at the level of probability ( ) 0, 997 P M = . Analysis of the data obtained allows us to draw the following conclusion. As the surface of the tool comes into contact with the workpiece material, as the actual depth of cut increases, the likelihood of material removal at all levels y increases. The highest probability value corresponds to the coordinate 0 z = (the position of the section of the contact zone along the main plane), since in this position the actual cutting depth is maximum. Conclusions Expressions (2) (3) and (4) make it possible to find the material removal values r ∆ , respectively, for the schemes of internal, flat and circular external grinding. To solve the considered equations, it is necessary to know the magnitude of the increment in removal x r ∆ due to brittle fracture during the development of