Implicit plane stress algorithm for multilayer J₂-plasticity using the Prager–Ziegler translation rule

A totally implicit algorithm for plane stress multilayer plasticity is presented. The algorithm presents the plane stress version of the 3D/plane strain model for multilayer plasticity presented in a previous work. As in the 3D/plane strain case, the model is consistent with the principle of maximum dissipation and it may be considered as an extension of classical J₂-plasticity for anisotropic non-linear kinematic behaviour preserving Masing's rules. In order to obtain the asymptotic second-order convergence of the Newton algorithm, the consistent tangent moduli are also given. Copyright © 2003 John Wiley & Sons, Ltd.