Abstract: Abrasive articles having a compressible composite layer are described. The compressible composite layers include a compressible binder and abrasive agglomerates. Methods of using such abrasive articles to modify the edge of a workpiece are also described.

Abstract: Edge modifying apparatuses that include a disc chuck, a disc edge modifying unit having an abrasive article support, and a uniform velocity linear oscillation driver coupled to at least one of the disc chuck and the abrasive article support are described. The uniform velocity linear oscillation driver provides a substantially constant velocity for at least 80% of each half-cycle of oscillation. Methods of modifying the edge of disc using such apparatuses are also described.