Cutting Forces When Processing the Planes by Face Polymeric Abrasive Brushes

Theory of Formation of Edge’s Surface Roughness Finished by Radial Polymer-Abrasive Brushes

“…It is known [2,3,4,6] that required roughness is formed in the process of treatment independently from initial state of the processed surface. Its parameters depend on conditions, modes of treatment and properties of the processed material.…”

“…It is stated [4,5,6,7] that cutting micro-relief of abrasive instrument can be described only in form of random stationary process with normal rule of distribution. Profile record in this case is the realization of the given random process.…”

“…Interaction of single grain with processed edge is in the basis of formation of roughness of rounded edge when treatment with polymer-abrasive instruments. Cone with top rounded by radius presents a model of single grain as in the work [4] devoted to other type of abrasive treatment.…”

“…3) is formed in front of it (grain) that can be transformed into shavings under certain conditions. Plastically extruded material flowing around the grain without separation of main mass forms the roll by the aisle sides [4,9].…”

“…where yЕ -depth of penetration of abrasive grains. АЕ = 0,5ϕЕ -0,25sin2ϕЕ; Ао = 0,5ϕо-0,25sin2ϕо; ϕо = 0,5arc cos2µT; µT -coefficient of plastic friction; ϕE = 0,5arc cos(1-yE/rI); КY -coefficient considering difference of equivalent parameters of micro-relief (average number of zeroes n(0)e, square root deviation σe and average number of maximum me) by equations given in works [4,5,6] accepted when calculation of parameters of cutting micro-relief of instrument n(0), σ and m, because it is practically impossible to guess what parameters n(0), σ and m will be on the billet in the process of treatment. Since the process of cutting is conducted it plastic deformation of metal, coefficient of plastic friction µT characterizes friction of single grain with plastically deformed material.…”