Closed form solutions for the dynamics of a pressurized elastoplastic thin-walled tube

This paper provides analytic solutions for the dynamics of a pressurized elastoplastic thin-walled tube at small strains. The closed-form expressions stress and displacement fields are derived within framework thin cylindrical shell theory. Three dynamic load-processes considered: an increasing-constant internal pressure, rectangular triangular pulse loads. It is found that, depending on external load function, ductility limit solid may be reached unbounded. In this case, structure collapses by plastic strain accumulation. However, if not reached, strains stabilize after transient phase exhibits elastodynamic response function. analytical results compared with numerical predictions standard Finite Element Method (FEM). • work tube. material obeys von Mises criterion. load-process considered. against one FEM.