extend on both sides around the mounting surfaces 4 in an annular configuration the surfaces of these annular braking surfaces can be smoothed by a grinding process that is repeated several times the silicon carbide layer in the embodiment shown can consist of a dipping bath layer comprising predominantly crystals in an a arrangement the material used for this purpose can be a silicon carbide material for example materials having the following properties ______________________________________ material 34 a 34 material 34 b 34 ______________________________________density g cm3 3 05 3 08coefficient of k sup 1 4 5 u00d7 10 sup 6 4 4 u00d7 10 sup 6thermal expansionthermal conductivity at 20 u00b0 c w mk 150 180thermal conductivity at 1200 u00b0 c w mk 40 45______________________________________ in fig3 a and 3 b respectively the amount of thermal expansion u03b1 and the thermal conductivity u03bb of the c c composite in a graphitized state is separately plotted corresponding to directions i i and ii ii of the fabric as shown in fig2 these values also apply to the c c sic composite fig2 shows several layers of 2 d fabric which are arranged one on top of the other direction i being the direction perpendicular to the plane of the fabric and direction ii being the direction in which the fibres of a layer of fabric extend the 2 d fabrics are preferably arranged such that they extend essentially parallel to the lateral surfaces of the vehicle brake disc so that the anisotropic properties of the thermal conductivity u03bb.