A polycrystalline abrasive composite cutter, including a tool body with a top cutting surface and a flank surface. The composite cutter, joined to a substrate, constitute a shear cutter for a PDC bit, roller-cone bit insert, or other tool that can be highly useful for petroleum drilling or other applications. The body of the polycrystalline abrasive composite cutter includes a plurality of polycrystalline abrasive layers (90) and a plurality of arresting layers (100). The polycrystalline abrasive layers (90) and the arresting layers (100) are arranged to alternate throughout the tool body in a direction normal to the top cutting surface (92) and in a direction normal to a flank surface (94).