An abrasive tool insert includes (a) a substrate having a support face that includes (1) an inner support table, (2) an outer shoulder having a width, Sw, and (3) a downwardly sloping interface from the support table to the shoulder, which interface has a slope angle, Sa. A continuous abrasive layer, integrally formed on the substrate support face, includes (1) a center having a height, Dc, (2) a diameter, Dd, (3) a periphery having a height, Dp, in contact with the shoulder and which periphery forms a cutting edge. Sw:Dd ranges from between 0 and about 0.5. For each Sa and Sw:Dd, Dc:Dp is selected so as to diminish residual stress in the abrasive layer.