Method of producing an article in an additive manufacturing method from a precursor, comprising the steps of: I) depositing a layer of a free-radically crosslinked build material corresponding to a first selected cross section of the precursor on a carrier; II) depositing a layer of a free-radically crosslinked build material corresponding to a further selected cross section of the precursor onto a previously applied layer of the free-radically crosslinked build material; III) repeating step II) until the precursor is formed; wherein the depositing of a free-radically crosslinked build material at least in step II) is effected by exposure and/or irradiation of a selected region of a free-radically crosslinkable build material corresponding to the respectively selected cross section of the precursor; wherein the carrier is disposed within a container, the container provides the free-radically crosslinkable build material, the carrier can be raised vertically counter to the direction of gravity and the carrier is additionally raised by a predetermined distance prior to each step II), such that a layer of the free-radically crosslinkable build material forms below the lowermost layer of the build material as viewed in vertical direction; characterized in that the free-radically crosslinkable build material comprises a thermoplastic free-radically crosslinkable polyurethane having a urethane group content of ≥ 5% by weight and a photoinitiator; the free-radically crosslinkable build material is heated in step II) to a processing temperature greater than the melting point, determined by dynamic differential calorimetry, first heating, at a heating rate of 20 K/min, of the free-radically crosslinkable polyurethane; the free-radically crosslinkable polyurethane has a melting point, determined by dynamic differential calorimetry, first heating, at a heating rate of 20 K/min, of ≥ 50°C; and in that, after step III), the precursor having a temperature of 20°C is defined as the article, or in that, after step III), step IV) is conducted: IV) performing a chemical reaction in the precursor obtained after step III), such that the article is obtained. I) depositing a layer of a free-radically crosslinked build material corresponding to a first selected cross section of the precursor on a carrier; II) depositing a layer of a free-radically crosslinked build material corresponding to a further selected cross section of the precursor onto a previously applied layer of the free-radically crosslinked build material; III) repeating step II) until the precursor is formed; wherein the depositing of a free-radically crosslinked build material at least in step II) is effected by exposure and/or irradiation of a selected region of a free-radically crosslinkable build material corresponding to the respectively selected cross section of the precursor; wherein the carrier is disposed within a container, the container provides the free-radically crosslinkable build material, the carrier can be raised vertically counter to the direction of gravity and the carrier is additionally raised by a predetermined distance prior to each step II), such that a layer of the free-radically crosslinkable build material forms below the lowermost layer of the build material as viewed in vertical direction; characterized in that the free-radically crosslinkable build material comprises a thermoplastic free-radically crosslinkable polyurethane having a urethane group content of ≥ 5% by weight and a photoinitiator; the free-radically crosslinkable build material is heated in step II) to a processing temperature greater than the melting point, determined by dynamic differential calorimetry, first heating, at a heating rate of 20 K/min, of the free-radically crosslinkable polyurethane; the free-radically crosslinkable polyurethane has a melting point, determined by dynamic differential calorimetry, first heating, at a heating rate of 20 K/min, of ≥ 50°C; and in that, after step III), the precursor having a temperature of 20°C is defined as the article, or in that, after step III), step IV) is conducted: wherein the carrier is disposed within a container, the container provides the free-radically crosslinkable build material, the carrier can be raised vertically counter to the direction of gravity and the carrier is additionally raised by a predetermined distance prior to each step II), such that a layer of the free-radically crosslinkable build material forms below the lowermost layer of the build material as viewed in vertical direction; characterized in that the free-radically crosslinkable build material comprises a thermoplastic free-radically crosslinkable polyurethane having a urethane group content of ≥ 5% by weight and a photoinitiator; the free-radically crosslinkable build material is heated in step II) to a processing temperature greater than the melting point, determined by dynamic differential calorimetry, first heating, at a heating rate of 20 K/min, of the free-radically crosslinkable polyurethane; the free-radically crosslinkable polyurethane has a melting point, determined by dynamic differential calorimetry, first heating, at a heating rate of 20 K/min, of ≥ 50°C; and in that, after step III), the precursor having a temperature of 20°C is defined as the article, or in that, after step III), step IV) is conducted: IV) performing a chemical reaction in the precursor obtained after step III), such that the article is obtained.