Reliability assessment by analytical calculation of the plastic collapse load of thin pressure vessels with strain hardening and large deformation

The paper investigates the assessment of the capacity loading in terms of internal limit pressure of thin metallic vessels such as thin tubes and thin spheres. This assessment is dealt with, taking into consideration large deformations of the geometry as well as the most common rules for strain hardening modeling such as isotropic, kinematic or isotropic and kinematic combined. Analytical solutions are established for predicting plastic limit pressure evolution together with hardening variables. ► Analytic formulas for collapse pressures of thin tubes and spheres are established. ► Collapse pressures are assessed by the static and kinematic approaches. ► The strain hardening has a strong influence on the limit pressure. ► Made error considering stresses and strains constant is small enough to be neglected.