Mathematical modeling of fracture conditions of thin-walled cylindrical shells under external pressure and axial tension

The stability loss conditions under plastic deformation of a thin-walled cylindrical shell, including large-diameter pipes, under tensile (positive) axial stresses and compressive (negative) ring stresses are considered. The purpose of the article is to specify the dependences of critical deformations, stresses, pressures, and axis loads on the shell on the parameters and loading conditions. The research method is based on the application of Swift–Marciniak criterion on the loss in stability of the plastic deformation process. The material of the shell is assumed to be isotropic with exponential-power deformation diagram. Explicit analytical expressions for the target values were obtained. Considering the given parameters of the shell and loading conditions, the results allow to determine critical pressures, critical axial loads and wall thickness at a given working pressure.