The present invention relates to a method for producing a molded body (MB) comprising the production of a thermoplastic polyurethane, the production of a molded body (MB*) from the thermoplastic polyurethane, heating the molded body (MB*) to a temperature below the temperature at which there is permanent deformability of the molded body (MB*), and above the switching temperature of the thermoplastic polyurethanes, elongating the heated molded body (MB*) with obtention of a molded body (MB), and cooling the molded body (MB) to a temperature below the switching temperature of the thermoplastic polyurethane, and the molded body obtained or obtainable by such a method. The present invention further relates to a thermoplastic polyurethane with shape memory and the use of a thermoplastic polyurethane for producing a molded body with shape memory effect in a temperature range from 0° C. to 130° C.