Quasilinear Integration of Elasto-Plastic Shells

A method of solution for large deflection elasto-plastic shells of revolution is developed using numerical integration of quasilinearized equations. The work presented here uses a suppression scheme, originally developed by Goldberg for linear elastic shells of revolution problem, for the large deflection elastic-plastic analysis of shells of revolution. Sander's large deflection theory for shells of revolution is adopted with incremental elastic-plastic constitutive relations and the Prandtl-Reuss flow rule associated with isotropic material hardening behavior. The solution method for large-deflection elastic problems is validated by considering a torus under external pressure. To verify the solution for large-deflection elastic-plastic problems, an annular plate subjected to edge loadings is solved. Results obtained compare well with previous theoretical and experimental solutions.