A composite body consisting of a hard metal, cermet or ceramic substrate body and at least one layer of a hard materials, ceramic material, a diamond-like layer, amorphous carbon and/or hexagonal boron nitride on the substrate body, wherein in a zone bordering the layer, in the substrate body materials like that of the layer adjacent the substrate body are embedded with an inwardly decreasing gradient to a penetration depth of a maximum of 200 μm, and a border surface between the substrate body surface and the layer has a roughness which corresponds approximately to the roughness of a partially densified green compact with an open porosity at 600° C. to 800° C. prior to sintering.