shell, kink line, singularity, pipeline, stress-strain state.

A closed-ended formulation of the boundary-value problem of calculating the pipeline stress-strain state as a Vlasov shell with a kink line of surface was given. The resolving equations of the shell in displacements in the chosen curvilinear coordinate system were derived; in the local coordinates associated with the kink line, the kinematic conjugation conditions on this line were derived; conjugation conditions for moments and forces in the shell on the surface kink line were stated and proved. All conjugation conditions were deduced in the displacements of the shell on the kink line, which is not a coordinate line. The presence of a singularity in the obtained conjugation conditions was proved. The consistency of the numerical analysis results with known results was established.

Tkachenko Oleg Pavlovich,

Dr. Sci. Phys. & Math., Ass. Professor, Leading Research Worker, Computing Center of Far-Eastern Branch, Russian Academy of Sciences, Khabarovsk, Russia.