A system for the additive manufacture of freely formable metal parts with or without a supporting structure by means of an extrusion method from a composite material comprising metal particles, comprising: - a building platform, - a three-dimensionally movable kinematic mechanism, and - an extruder which is arranged on the three-dimensionally movable kinematic mechanism and comprises a mechanical drive for the composite material to be extruded, wherein the extruder comprises a housing and and an exchangeable die, arranged on the housing, and Wherein the housing is connected to the mechanical drive by way of suitable means for transporting the composite material, characterized in that the housing is divided into a feed zone, a separating zone, a plasticating and homogenizing zone and a discharge zone, wherein • the feed zone is provided with active cooling for the composite material, and the material of the housing the feed zone consists of a material with good thermal conductivity, • the separating zone separates the cooled feed zone thermally from the heated plasticating and homogenizing zone and in the separating zone the housing consists of a material with poor thermal conductivity, • the plasticating and homogenizing zone is provided with a active heating for plasticating the composite material and in the REPLACEMENT SHEET (RULE 26) plasticating and homogenizing zone the housing consists of material with good thermal conductivity, and • the discharge zone is adjusted to a melt temperature of the composite material and from an exchangeable die of an abrasion-resistant material and from the discharge zone, the molten molding compound is applied in the form of a filament to the building platform by way of the die, controlled by the kinematic mechanism, wherein wherein the housing is is designed as a funnel and a screw is arranged in the housing, wherein the shaft diameter of the screw in the feed zone and the separating zone is lower than in the plasticating and homogenizing zone. - a building platform, - a three-dimensionally movable kinematic mechanism, and - an extruder which is arranged on the three-dimensionally movable kinematic mechanism and comprises a mechanical drive for the composite material to be extruded, wherein the extruder comprises a housing and and an exchangeable die, arranged on the housing, and Wherein the housing is connected to the mechanical drive by way of suitable means for transporting the composite material, characterized in that the housing is divided into a feed zone, a separating zone, a plasticating and homogenizing zone and a discharge zone, wherein • the feed zone is provided with active cooling for the composite material, and the material of the housing the feed zone consists of a material with good thermal conductivity, • the separating zone separates the cooled feed zone thermally from the heated plasticating and homogenizing zone and in the separating zone the housing consists of a material with poor thermal conductivity, • the plasticating and homogenizing zone is provided with a active heating for plasticating the composite material and in the REPLACEMENT SHEET (RULE 26) plasticating and homogenizing zone the housing consists of material with good thermal conductivity, • the feed zone is provided with active cooling for the composite material, and the material of the housing the feed zone consists of a material with good thermal conductivity, • the separating zone separates the cooled feed zone thermally from the heated plasticating and homogenizing zone and in the separating zone the housing consists of a material with poor thermal conductivity, • the plasticating and homogenizing zone is provided with a active heating for plasticating the composite material and in the REPLACEMENT SHEET (RULE 26) plasticating and homogenizing zone the housing consists of material with good thermal conductivity, • the discharge zone is adjusted to a melt temperature of the composite material and from an exchangeable die of an abrasion-resistant material and from the discharge zone, the molten molding compound is applied in the form of a filament to the building platform by way of the die, controlled by the kinematic mechanism, wherein