The present invention relates to radiation-curable, aqueous dispersions based on polyurethane acrylates (i), which are characterized in that the polyurethane acrylate (i) comprises as builder components A) one or more aromatic polyepoxy(meth)acrylates with an OH number of from 20 to 300 mg of KOH/g of substance, C) one or more oligo- or polyesters containing unsaturated fatty acids with an OH number of from 15 to 300 mg of KOH/g of substance and an iodine number of greater than 50 g of I2/100 g of substance, E) one or more compounds with at least one group which is reactive towards isocyanate and additionally at least one group having a hydrophilizing action and F) one or more organic polyisocyanates, a process for the preparation thereof, the use of the coating compositions as lacquers and/or adhesives, and objects and substrates provided with these lacquers and/or adhesives.