Ultimate admissible dynamic strains in closed cylindrical vessels

A problem of determining the ultimate dynamic state of multilayer closed cylindrical vessels in emergency situations, such as explosive loading by high-intensity internal pressure, is considered. Elastic strains are assumed to be negligibly small as compared to plastic strains; therefore, the problem solution is constructed on the basis of the model of a rigid-plastic material with linear hardening. It is demonstrated that the solution of the dynamic deformation problem considered reduces to integration of a system of two ordinary equations for the functions of displacements of the inner surface of the vessel and of the massive non-deformable cover of the vessel.