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. (C) 2012 Elsevier Ltd. All rights reserved.