Method for bonding a sheetlike cover material to a shaped article, using an adhesive film comprising at least one layer of a heat-activatedly bondable adhesive, where the adhesive film is disposed, over the full area or a partial area, between the cover material and the shaped article, the heat-activatedly bondable adhesive as yet not adhering to the shaped article, wherein the cover material is pulled onto the shaped article under tension, so that the layer of the heat-activatedly bondable adhesive contacts the shaped article, and the activation of the heat-activatedly bondable adhesive is brought about by means of the pressure resulting exclusively from the tension, and optionally of heat introduced by means of external energy supply, whereby the heat-activatedly bondable adhesive adheres to the shaped article and a durable connection of the cover material to the shaped article is produced.