A Numerical Approach to Elastic-Plastic Plane-Strain Problems of Thick-Walled Cylinders

摘要

A new finite-difference approach has been developed for solving the elastic-plastic plane-strain problems of thick-walled cylinders subjected to internal or external pressure. The material is assumed to obey the von Mises' yield criterion, the Prandtl-Reuss flow theory and the isotropic hardening rule. The numerical scheme is stable for ideally-plastic as well as straining-hardening materials. The approach is simpler than others, and very accurate solutions can be obtained by reducing the grid sizes and load increments. The results for the stresses and strains in all principal directions have been computed as functions of loading history. (Author)