A process for producing a composite material including at least two layers, of which at least one layer (1) is composed of ceramic material, by moistening the raw materials and aggregates for the layer (1) of ceramic material, mixing them and pressing them to form a green layer. Weak contact surfaces are formed on the green layer and the layers are pressed together to form a composite material. This is followed by drying and firing the composite material. The green layer is compacted by rollers to form the weak contact surfaces. The layers are pressed together to form the composite material by a further rolling operation.