Material deformation and chip formation under single abrasive grain action

Abstract

The purpose of the work is to determine the volume of material destroyed by a single grain (microasperity), which produces elastic and plastic deformation of the material when an abrasive tool interacts with the treated surface. To calculate the intensity of deformation of the plastically displaced material of the workpiece under the action of a single grain, the slip-line technique (method of characteristics) was used. To determine the volume of material destroyed by a single grain as a result of polydeformation when moving in the tangential direction, the following is determined: area of the deformed material; intensity of the shear deformation; speed of the shear deformation rate; number of plastic deformation cycles necessary for the destruction of the material in various zones of the sliding line field. The solution to these problems is found using the radii of curvature of the sliding lines in the physical planes and in the planes of the velocity hodographs for the meridional and normal to the axis planes of the grain section. The determination of the elastic deformation of the material is taken into account when calculating the roughness of the treated surface. Chip formation under the action of a single grain is considered taking into account the determination of the cross-sectional area of chips. This formed the basis for a determination of material removal during abrasive processing. The theoretical provisions for the determination of the above indicators are confirmed by experimental data. Thus, the studies carried out by the slip-line method formed a basis for determining the volume of plastically deformed material, the magnitude and rate of deformation under the action of a single grain, as well as the volume of the removed material as a result of repeated plastic deformation and in the form of chips. The performed investigation forms an integral part of studies into the process performance and roughness of the machined surface when finishing workpieces with elastic polymer-abrasive tools and free abrasive particles.