A curved axisymmetric shell element for nonlinear dynamic elastoplastic problems-II. Implementation and results

A numerical scheme, based on a newly developed curved C¹ shell element, for calculating the nonlinear dynamic response of thin axisymmetric or plane shells, was presented in Part I of this paper. Part II, presented here, is devoted to the implementation and verification of the algorithm. Included are discussions of some of the technical aspects of the algorithm: the finite difference time integration process and updating, use of artificial viscosity, numerical stability considerations, the mass lumping procedure and some additional computational details. Finally, the developed element and proposed algorithm are verified by solving four nontrivial problems which span the linear, nonlinear, elastic and elastoplastic dynamic field. The results compare well with existing analytical or numerical solutions. Furthermore, the present algorithm should be very efficient in terms of computation time and core memory consumption when compared to existing codes which require a much larger number of elements in order to achieve a similar level of accuracy.