Method for producing a three-dimensional shaped object by means of layer-by-layer material application, wherein geometry data for the shaped object , a support part having a base surface for holding the three-dimensional shaped object , a liquid or flowable first material that can be solidified, and a liquid, flowable, paste-like or powder-form second material that can be solidified are made available, wherein the second material comprises at least one main component that can be cross-linked by means of treatment with energy, and a latent hardener that can be thermally activated, by means of which chemical crosslinking of the main component can be triggered as the result of the action of heat, a) wherein for the formation of a negative-shape layer , material portions of the flowable first material are applied to the base surface and/or to a solidified material layer of the three-dimensional shaped object situated on this surface, in accordance with the geometry data, in such a manner that the negative-shape layer has at least one cavity on its surface facing away from the base surface , which cavity has a negative shape of a material layer of the shaped object to be produced, b) wherein the negative-shape layer is solidified, c) wherein for the formation of a shaped-object layer , the cavity is filled with the second material in such a manner that the negative shape is transferred to the shaped-object layer as a positive shape, d) wherein the main component of the second material filled into the cavity is partially cross-linked by means of treatment with energy, and solidified, e) wherein regions of the solidified negative-shape layer and/or of the solidified shaped-object layer projecting beyond a plane arranged at a predetermined distance from the base surface are removed by means of material removal, f) wherein steps a) to e) are repeated at least once, g) wherein the main component of the shaped object formed from the shaped-object layers is further cross-linked by means of heat treatment, and solidified, in such a manner that the second material has a greater strength than the solidified first material and/or the partially cross-linked second material , and h) wherein the negative-shape layers are removed from the shaped object before, while and/or after the heat treatment is carried out. a) wherein for the formation of a negative-shape layer , material portions of the flowable first material are applied to the base surface and/or to a solidified material layer of the three-dimensional shaped object situated on this surface, in accordance with the geometry data, in such a manner that the negative-shape layer has at least one cavity on its surface facing away from the base surface , which cavity has a negative shape of a material layer of the shaped object to be produced, b) wherein the negative-shape layer is solidified, c) wherein for the formation of a shaped-object layer , the cavity is filled with the second material in such a manner that the negative shape is transferred to the shaped-object layer as a positive shape, d) wherein the main component of the second material filled into the cavity is partially cross-linked by means of treatment with energy, and solidified, e) wherein regions of the solidified negative-shape layer and/or of the solidified shaped-object layer projecting beyond a plane arranged at a predetermined distance from the base surface are removed by means of material removal, f) wherein steps a) to e) are repeated at least once, g) wherein the main component of the shaped object formed from the shaped-object layers is further cross-linked by means of heat treatment, and solidified, in such a manner that the second material has a greater strength than the solidified first material and/or the partially cross-linked second material , and h) wherein the negative-shape layers are removed from the shaped object before, while and/or after the heat treatment is carried out. <EOS>