A method for the additive manufacturing of a component at a manufacturing temperature T F, having the steps of • providing at least one substrate, in particular a substrate plate, wherein the substrate is formed or will be formed from one or several metallic substrate materials, which is a low transformation temperature alloy, wherein the LTT alloy has a martensite start temperature Ms of below 140°C, which is calculated according to the formula M s ° C = 561 − 474 ∗ C − 33 ∗ Mn − 17 ∗ Ni − 17 ∗ Cr − 21 ∗ Mo whereby: C = percentage by mass of carbon Mn = percentage by mass of manganese Ni = percentage by mass of nickel Cr = percentage by mass of chrome Mo = percentage by mass of molybdenum by Steven and Haynes and the martensite start temperature Ms lies below the manufacturing temperature T F, and the LTT alloy furthermore is an alloy system on the basis of the main alloying elements iron-chrome-nickel or iron-manganese, • construction of the component on a construction surface of the substrate by layered application of at least one material at a manufacturing temperature T F by forming a component-substrate composite via a boundary surface, • cooling down at least the substrate in the component-substrate composite after the complete construction of the component to a temperature below the martensite start temperature Ms, wherein, as a result of a martensite transformation and associated volume expansion of the metallic substrate material, a transformation stress is induced in the substrate at least in the boundary surface to the component. • Separating the component from the substrate. • providing at least one substrate, in particular a substrate plate, wherein the substrate is formed or will be formed from one or several metallic substrate materials, which is a low transformation temperature alloy, wherein the LTT alloy has a martensite start temperature Ms of below 140°C, which is calculated according to the formula M s ° C = 561 − 474 ∗ C − 33 ∗ Mn − 17 ∗ Ni − 17 ∗ Cr − 21 ∗ Mo whereby: C = percentage by mass of carbon Mn = percentage by mass of manganese Ni = percentage by mass of nickel Cr = percentage by mass of chrome Mo = percentage by mass of molybdenum by Steven and Haynes and the martensite start temperature Ms lies below the manufacturing temperature T F, and the LTT alloy furthermore is an alloy system on the basis of the main alloying elements iron-chrome-nickel or iron-manganese, whereby: C = percentage by mass of carbon Mn = percentage by mass of manganese Ni = percentage by mass of nickel Cr = percentage by mass of chrome Mo = percentage by mass of molybdenum by Steven and Haynes and the martensite start temperature Ms lies below the manufacturing temperature T F, and the LTT alloy furthermore is an alloy system on the basis of the main alloying elements iron-chrome-nickel or iron-manganese, • construction of the component on a construction surface of the substrate by layered application of at least one material at a manufacturing temperature T F by forming a component-substrate composite via a boundary surface, • cooling down at least the substrate in the component-substrate composite after the complete construction of the component to a temperature below the martensite start temperature Ms, wherein, as a result of a martensite transformation and associated volume expansion of the metallic substrate material, a transformation stress is induced in the substrate at least in the boundary surface to the component. • Separating the component from the substrate.