RESEARCH OF THE MATHEMATICAL MODELS OF THE STRESS CONDITION OF THE THIN-WALLED HETEROGENEOUS CYLINDRICAL SHELLS BASED ON ANALYTICAL METHODS

Using analytical methods the author creates and researches mathematical models of the stress conditions of the thin-walled cylindrical shells, linear, cross and less solid helical layers (interlayers) in them including those ones with defects, as well as more solid layers with defects while loading the shells with internal pressure and axial force. The author minutely researches the state of the deformative, contact and structural hardening of these layers. On this basis the author obtains evident analytical dependences for calculating the extreme stress state in the wall of the heterogeneous shell and extreme internal pressure.

Keywords

thin-walled cylindrical shell, less solid layer, plastic deformation, local strengthening, partial differential system of the hyperbolic type