Process for the additive manufacturing of mouldings via site-specific delivery of a structure-forming material (sfm) =, characterized in that simultaneously or at staggered intervals at least one supportive material (sm) = is delivered into regions which remain free from sfm, where the delivery of the sm is achieved by way of a device which has at least one delivery unit for the sm, where the said unit can be positioned in x-, y- and z-direction with a precision of at least ± 100 μm, and thus via the site-specific delivery of the sm not only in the x, y-operating plane but also in the z-direction successively constructs the supportive structure made of sm for the moulding, with the proviso that the sm - at 70°C is a pseudoplastic, viscoelastic composition comprising a polyether composition comprising at least one first polyether having a melting point of lower than 35°C and at least one second polyether having a melting point of 35°C or higher, wherein the proportion of the second polyether based on the total weight of the polyether composition is 5% by weight or more to 70% by weight or less, and at least one particulate rheological additive, optionally other additional substances - has a shear viscosity of at most 10 Pas measured at 70°C with shear rate 100 s -1 using a rheometer with plate-on-plate geometry with a diameter of 25 mm at a gap width of 300 μm, - has a storage modulus G' of at least 100 Pa, measured at 70°C and - a solidification temperature of from 20°C or more up to 60°C or less, and once the manufacturing of the moulding has been concluded the sm is removed from the moulding, where - the melting point is determined by means of DSC in accordance with DIN EN ISO 11357-3 and - the solidification temperature is determined in a plate-on-plate rheometer, diameter 25 mm and gap width 30 μm, by means of temperature sweep under dynamic shear loading, where the sample is cooled stepwise at a cooling rate of 1.5 K/min from 70°C to 20°C and is subjected to constant deformation of 0.1% with a constant frequency of 10 Hz. - at 70°C is a pseudoplastic, viscoelastic composition comprising a polyether composition comprising at least one first polyether having a melting point of lower than 35°C and at least one second polyether having a melting point of 35°C or higher, wherein the proportion of the second polyether based on the total weight of the polyether composition is 5% by weight or more to 70% by weight or less, and at least one particulate rheological additive, optionally other additional substances a polyether composition comprising at least one first polyether having a melting point of lower than 35°C and at least one second polyether having a melting point of 35°C or higher, wherein the proportion of the second polyether based on the total weight of the polyether composition is 5% by weight or more to 70% by weight or less, and at least one first polyether having a melting point of lower than 35°C and at least one second polyether having a melting point of 35°C or higher, wherein the proportion of the second polyether based on the total weight of the polyether composition is 5% by weight or more to 70% by weight or less, and at least one particulate rheological additive, optionally other additional substances - has a shear viscosity of at most 10 Pas measured at 70°C with shear rate 100 s -1 using a rheometer with plate-on-plate geometry with a diameter of 25 mm at a gap width of 300 μm, - has a storage modulus G' of at least 100 Pa, measured at 70°C and - a solidification temperature of from 20°C or more up to 60°C or less, - the melting point is determined by means of DSC in accordance with DIN EN ISO 11357-3 and - the solidification temperature is determined in a plate-on-plate rheometer, diameter 25 mm and gap width 30 μm, by means of temperature sweep under dynamic shear loading, where the sample is cooled stepwise at a cooling rate of 1.5 K/min from 70°C to 20°C and is subjected to constant deformation of 0.1% with a constant frequency of 10 Hz.