The invention relates to a moulded body having a polymeric coating and a method for the production thereof. In the method: a) a cladding material is prepared from a polymer solution by dissolving polymers in a solvent by a direct dissolving process, b) a carrier material is guided at a defined speed through a feed channel and through an outlet opening into a coating chamber, wherein the feed channel traverses a container holding the cladding material, c) the cladding material is guided through a predefined gap and at a defined pressure into the coating chamber, where contact is effected between the cladding material and the carrier material and a preliminary layer of cladding material forms on the carrier material as a result of forced wetting in a variable pressure equilibrium and flow equilibrium within the coating chamber, d); the carrier material having the layer are together guided through a further outlet opening, e) the cladding material in the container, in the coating chamber and upstream of the outlet opening is temperature-controlled, f) the carrier material coated with the cladding material passes through a relaxation zone in order to orient the polymers and for visco-elastic relaxation in order to achieve the final low-stress polymer solution layer, g) by setting the withdrawal of the carrier material from the coating chamber via the outlet opening into the relaxation zone, the cladding material, the carrier material or both can be additionally distorted, h) and the solvent can be removed from the polymer solution layer.