Dynamic plastic deformation of axi-symmetric circular cylindrical shells

The endochronic theory of plasticity has been applied to study the axially symmetric motion of a finite circular cylindrical shell subjected to an arbitrary pressure transient applied to its inner surface. The constitutive equations for thin shells have been obtained. The governing equations are then solved by means of the characteristics method. It is found that there exist two characteristic waves: one corresponds to the longitudinal wave while the other represents the shear wave. Several numerical examples are presented for specific boundary conditions and a prescribed loading history along the axial direction. The radial displacement profiles in this analysis show the coupling effect of both longitudinal and shear waves. Furthermore, the resultant displacement history seems in good agreement qualitatively with the pressure input function. (Auth.)