This thesis deals with the mathematical modelling of the primary lining of a tunnel which finds itself in overconsolidated neogenic clay. This type of construction is typically solved by a combination of linear-elastic beams representing sprayed concrete and a linear elastic – perfectly plastic soil material model. Both of these approaches are a simplification of the behaviour of both sprayed concrete and soil. The real behaviour of concrete is nonlinear and time-dependent when it comes to stiffness and strength. In praxis, this issue is solved by implementing phases of young and cured concrete. The real behaviour of soils is, on the other hand, influenced by hardening. The main goal of this thesis is to use an advanced time-dependent elastoplastic material model (The Concrete model) to create shotcrete lining for the Dřevnovice tunnel, built by the Kernbauweise method. A nonlinear hyperbolic soil material model (The Hardening Soil model) is applied to the neogenic clay environment. Various modelling approaches are used to obtain internal forces and deformations of tunnel lining. These approaches are then graphically compared. The last part of this thesis focuses on verifying the primary lining design of a railway tunnel in central Moravia.