Elasto/Visco-Plastic Dynamic Response of Moderately Thick Shells of Revolution under Asymmetrical Loading

An analytical method for the elasto/visco-plastic dynamic problems of general, moderately thick shells of revolutions subjected to asymmetrical loads is developed in consideration of the effect of shear deformation. The equations of motion and the relations between the strains and displacements are derived by extending the Reissner-Naghdi theory in elastic shells with given consideration to the effect of shear deformation. For the constitutive relations, the elasto/visco-plastic equations by Fyfe based on the model developed by Perzyna are employed. The numerical method selected for this problem is a method using finite difference in both space and time. As a numerical example a cylindrical shell under a seimisinusoidal external load with respect to time is analyzed, and the results are compared with those from the classical theory which neglect the effect of shear deformation.