The article describes the mathematical modelling results of the dynamics in order to determine the regularity. Further development of numerical approaches to taking into account the geometric nonlinearity of composite material on the basis of polytetrafluoroethylene with the use of the finite element method for studying the stress-strain state of the sealing elements line. Simulation were carried out under combined axial and surface radial loads. It is determined that the most "dangerous" from the point of view of the strength of the design are areas around square openings, docking zones of spherical, conical and cylindrical parts.