Process for producing bodies from ceramic materials using silicon carbide, comprising the steps: configuration of fiber-reinforced porous bodies (1, 5) that consist of carbon on a base (2) that is inert relative to liquid silicon, the bodies having cavities (3) that are accessible from the exterior or surface recesses (3′), and the cavities (3) being closed at the bottom in the porous bodies or the surface recesses (3′) together with the base (2) forming a reservoir that is sealed at the bottom; heating the configuration by introduction of energy to melt the silicon (6) that is present in the reservoir; and infiltrating the melted silicon in the bodies (1, 5) and reaction of the silicon with the carbon to form silicon carbide; and use of the thus produced bodies as brake disks and as clutch driving disks.