A process for producing a composite material with an intermediate layer made from a thermoplastic polymer, an intermediate layer arranged thereupon, and a heat-cured layer applied to the intermediate layer, where the bonding material of the intermediate layer is a thermoplastic, the process comprising providing the materials for the intermediate layer, an optional decorative layer, and the heat-cured layer each in the form of a sheet, then bonding the sheets to the backing material at temperatures from 150 to 300° C. The intermediate layer and the backing may be composed of the same thermoplastic. The intermediate layer and the heat-cured layer may also be applied to both sides of the backing. The layered composite material may furthermore comprise a decorative layer between the intermediate layer and the heat-cured layer.