For the description of the notched stress behaviour of hybrid composite structures with glass or carbon fibre textile reinforced polymers, analytical calculation methods are developed at the Institut für Leichtbau und Kunststofftechnik (ILK). The model presented here is based on the enhanced laminate theory combined with the method of complex-valued displacement functions and the method of conformal mappings, from which adapted approaches for the stresses and displacements can be obtained. Extensive experimental research using modern, optical 3D measurement methods is also conducted for the determination of the required material property functions, as well as for verification of the solutions obtained. In addition, the finite element method is utilised for selected parameter combinations as a support. The discussed approach is demonstrated here for the example of hybrid textile-reinforced composite structures being composed of a timber core and textile-reinforced polymer layers on the outside.