A process for disintegration and pure-sorted separation of different plastics of recyclable composite structural parts containing a core of at least foam material and a flexible outer foil adhering firmly thereto and a support made thicker-walled than the outer foil and composed of a hard plastic, firmly adhered to the core in the form of an intermediate layer, comprising the steps of comminuting the composite structural parts into approximately cuboid particles of different plastics, disintegrating the particles into individual materials by selectively comminuting the foam of the particles mechanically into substantially smaller crumbs than the remaining pieces of the particles in a dry treatment, and separating the particles in a pure-sorted manner by a grain-size-selective separation such that the smaller foam crumbs are screened off from the coarser remaining particle pieces, wherein the step of selective comminution of the foam takes place by an impact stressing of the particles, and, after the removal of the foam fraction, the initially remaining mixture of thicker-walled hard-plastic particles and of thinner-walled foil chips is separated into a hard-plastic fraction and into a foil fraction by a vibrating-screen separation assisted by an upwardly directed air flow, there being exerted on the particles, which are dumped in a spread-out entangled state on a vibrating screen inclined relative to a horizontal line and a mesh width of which is markedly smaller than the particle size of the mixture, with a vibrating conveying effect occurring directed towards a higher edge of the vibrating screen, and a bearing force of the particles on the vibrating screen and a drag force exerted on the particles as a result of friction relative to the screen being reduced by the upwardly directed air flow, such that the vibrating conveying effect exerted on the lighter foil chips is substantially lower than that on the hard-plastic particles, and only the hard-plastic particles are thereby conveyed to the higher edge of the vibrating screen, whereas the foil chips are discharged via a lower edge of the vibrating screen.