Method for producing a component (1, 21), namely a shaft, roller or an extruder screw, wherein the component (1, 21) comprises a core portion (6, 22) which consists of a structural steel, and a wear-resistant layer (7, 24) which is carried by the core portion (6, 22) and which is present on a peripheral surface of the core portion (6, 22), comprising the following operating steps: a) providing a core portion blank (8, 28) which consists of the metal material and whose dimension (L8, L28) in a first spatial direction is greater than the desired finished dimension (D1, D22) of the core portion (6, 22) of the component (1, 21) in the relevant spatial direction and whose dimension (L1, L21) in a second spatial direction is smaller than the desired finished dimension of the core portion (1, 22) of the component (1, 21) in this second spatial direction; b) applying a material (M, P) which forms the wear-resistant layer (7, 24) in the finished component (1, 21) to the peripheral surface (10, 29) of the core portion blank (8, 28) in such a manner that the applied material (M, P) and the core portion blank (8, 28) form a stable composite body (13, 34), wherein the wear-resistant material is a cold work steel or a high-speed steel, and the wear-resistant material - is applied in powder form to the peripheral surface of the core portion blank and is joined by hot isotactic pressing to the core portion blank to form the composite body, or - is applied to the peripheral surface of the core portion blank and is joined to it to form the composite body by deposition welding; c) shaping the composite body (13, 34) to form the component (1, 21), wherein the composite body (13, 34) during the shaping is extended in the direction of the second spatial direction and is compressed in the direction of the first spatial direction until the dimensions of the composite body (13, 34) in the spatial directions (X, Y) at least correspond to the desired finished dimensions (L1, D1) of the component (1, 21) in these spatial directions (X, Y), wherein the material (M, P) which forms the wear-resistant layer (7, 24) is present on a peripheral surface of the component (1, 21); d) optional finishing processing of the component (1, 21). a) providing a core portion blank (8, 28) which consists of the metal material and whose dimension (L8, L28) in a first spatial direction is greater than the desired finished dimension (D1, D22) of the core portion (6, 22) of the component (1, 21) in the relevant spatial direction and whose dimension (L1, L21) in a second spatial direction is smaller than the desired finished dimension of the core portion (1, 22) of the component (1, 21) in this second spatial direction; b) applying a material (M, P) which forms the wear-resistant layer (7, 24) in the finished component (1, 21) to the peripheral surface (10, 29) of the core portion blank (8, 28) in such a manner that the applied material (M, P) and the core portion blank (8, 28) form a stable composite body (13, 34), wherein the wear-resistant material is a cold work steel or a high-speed steel, and the wear-resistant material - is applied in powder form to the peripheral surface of the core portion blank and is joined by hot isotactic pressing to the core portion blank to form the composite body, or - is applied to the peripheral surface of the core portion blank and is joined to it to form the composite body by deposition welding; - is applied in powder form to the peripheral surface of the core portion blank and is joined by hot isotactic pressing to the core portion blank to form the composite body, or - is applied to the peripheral surface of the core portion blank and is joined to it to form the composite body by deposition welding; c) shaping the composite body (13, 34) to form the component (1, 21), wherein the composite body (13, 34) during the shaping is extended in the direction of the second spatial direction and is compressed in the direction of the first spatial direction until the dimensions of the composite body (13, 34) in the spatial directions (X, Y) at least correspond to the desired finished dimensions (L1, D1) of the component (1, 21) in these spatial directions (X, Y), wherein the material (M, P) which forms the wear-resistant layer (7, 24) is present on a peripheral surface of the component (1, 21); d) optional finishing processing of the component (1, 21).