Process for producing a firmly adhering composite of a substrate material, consisting of a thermoplastic polymer having an untreated surface or a surface which has been treated in order to achieve prestructuring, with another material , wherein a) a first applied layer of the other material having a nanosize layer thickness, i.e. having a layer thickness below 100 nm, is embedded completely or virtually completely into the thermoplastic polymer by thermal treatment, where "virtually" means embedding of from 85 to 99% of the volume of the worked-in components but the proportion of the surface area of the embedded material based on the total surface is not more than 35%, and subsequently b) the surface of the other material is exposed and activated by bombardment with high-energy heavy ions and in turn subsequently c) the total surface is coated with the other material until at least a closed layer of the other material is formed, where, in process step a), the surface region of the thermoplastic polymer with the layer of the other material applied in the form of a nanosize cluster structure , i.e. a porous, percolating or fractal structure of the material having a nanosize layer thickness extension, is influenced in a prescribed time interval, i.e. in an impulse-like manner with an impulse duration in the range from 1 ms to 100 s, by supply of heat (T), where the temperature of the heat source is up to 500 K above the melting point of the polymer material and • the quantity of heat is dimensioned in such a way that or • a pressure (p), i.e. a force per unit area, which is in the range from 10% to 150% of the tensile strength of the polymer material is exerted on this layer, with the absolute value of the quantity of heat (T) to be introduced and the pressure (p) being dimensioned in such a way that the deformability of the thermoplastic polymer increases, primarily in the regions of the substrate material, namely of the polymer , which are in direct contact with the applied clusters , until it begins to flow and the layer structures of the applied material sink completely or virtually completely into the polymer material . a) a first applied layer of the other material having a nanosize layer thickness, i.e. having a layer thickness below 100 nm, is embedded completely or virtually completely into the thermoplastic polymer by thermal treatment, where "virtually" means embedding of from 85 to 99% of the volume of the worked-in components but the proportion of the surface area of the embedded material based on the total surface is not more than 35%, and subsequently b) the surface of the other material is exposed and activated by bombardment with high-energy heavy ions and in turn subsequently c) the total surface is coated with the other material until at least a closed layer of the other material is formed, • the quantity of heat is dimensioned in such a way that or • a pressure (p), i.e. a force per unit area, which is in the range from 10% to 150% of the tensile strength of the polymer material is exerted on this layer, with the absolute value of the quantity of heat (T) to be introduced and the pressure (p) being dimensioned in such a way that <EOS>