Simple Experimentally Motivated Cyclic Plasticity Model

Abstract

A two‐surface cyclic plasticity theory is presented with refinements based on analysis of nonproportional cyclic plasticity data. It is shown that the model accurately correlates nonproportional cyclic stress‐strain response, yet the model structure is simplified compared to previous models. New contributions include a more general isotropic hardening rule that reflects additional nonproportional hardening, and a more accurate plastic modulus representation for nonproportional loading. A kinematic hardening rule is used, which reflects experimental observations of backstress translation direction being related to deviatoric stress rate. Transient stress‐strain behavior from four axial torsional nonproportional loading blocks is predicted.