When using technical ceramics in highly strained structured components, importance is attached to the tensional stress concentrations, as they are found at circular holes or notches of other shapes. These stress concentrations lead to critical strains and frequently initiate catastrophic failure of the component. By selective fibre reinforcement of the matrix a redistribution of the stress peaks relevant to failure can be achieved. In the course of this the fibre orientation, besides the notch geometry, plays a decisive role. The basis for the dimensioning of fibre-reinforced ceramic components are the so-called 'characteristic value functions' which can be illustrated quite practically in polar diagrams. In an example of a fibre-reinforced plain ceramic structure, the stress-induced tensional fields will be calculated by analytical and numerical means for technically relevant hole geometries. This will be accompanied by the determination of the stress concentration factors and the graphic display of these results.