Dimensional processing of products made from hard alloys and superhard materials is of a certain interest for contemporary high-technology production, as it enables creation of half-finished or final products of various geometric shapes from workpieces obtained by sintering. In this case conventional methods, first of all abrasive processing and electroerosion cutting, find limited application, which is caused by special features of the structural condition and physical and mechanical properties of the materials of the processed workpieces. The functional approach can be used in working of composite workpieces from laminated superhard materials. The performed research with the use of hydro-abrasive cutting (HAC), laser cutting (LC), laser cutting with water cooling (LCC), and water jet-guided laser (WJGL) has enabled studying of the intensity of destruction area introduction into the worked piece and finding out the functional features of a particular process that are caused by the working conditions. It has been shown that the hypothesis of quasistationary rate of destruction is unacceptable for such materials, which is caused by the structure and high hardness of the material. It has also been determined that when deepening increases, the rate of jet introduction has a pronounced tendency toward reduction.