A thermoplastically processable polyurethane molding material which is composed of a blend of at least two thermoplastic polyurethane, with at least 5 percent by weight, as a component A, being composed of a thermoplastic polyurethane which is obtained by reacting one or a plurality of aliphatic polyols which have a molecular weight of 800 to 4000 g/mol and a hydroxyl number of 20 to 235 and which are selected from the group of polyadipates, polycaprolactones, polycarbonates, polytetrahydrofurans and corresponding copolymers or mixtures thereof with 1,6-hexamethylene diisocyanate and the chain-extending agent 1,6-hexanediol in an equivalent ratio of the 1,6-hexamethylene diisocyanate to the polyol of 1.5:1 to 14.0:1, the NCO index formed from the quotient, which is multiplied by 100, of the equivalent ratios of isocyanate groups to the sum of the hydroxyl groups of polyol and chain-extending agent lying within a range of 96 to 105, and 100 percent by weight of the rest, as a component B, being composed of one or a plurality of further thermoplastic polyurethane which is obtained by reacting one or a plurality of aliphatic polyols which have a molecular weight of 800 to 4000 g/mol and a hydroxyl number of 20 to 235 and which are selected from the group of polyadipates, polycaprolactones, polycarbonates, polytetrahydrofurans and corresponding copolymers or mixtures thereof with the diisocyanates: 1,6-hexamethylene diisocyanate, isophorone diisocyanate, dicyclohexylmethane diisocyanate, diphenylmethane diisocyanate and a chain-extending agent selected from the group of 1,4-butanediol, 1,5 pentanediol, 1,4-cyclohexanediol, bis(hydroxymethyl)cyclohexane, bis(hydroxyethyl)hydroquinone, polycaprolactone having a number average molecular weight of 350 to 600 g/mol and polytetrahydrofuran having a number average molecular weight of 200 to 600 g/mol in an equivalent ratio of the diisocyanate to the polyol of 1.5:1 to 14.0:1, the NCO index formed from the quotient, which is multiplied by 100, of the equivalent ratios of isocyanate groups to the sum of the hydroxyl groups of polyol and chain-extending agent lying within a range of 96 to 105.