Modeling of non-proportional cyclic loading with a simple yield surface distortion model

• A new yield surface distortion model coupled with nonlinear kinematic hardening is proposed and discussed.
• Cyclic multiaxial loading is modeled and compared with different experimental non-proportional loading paths.
• Yield surface evolution during cyclic loading is modeled and compared with experimental results with few constants.

In this study, a yield surface distortion model coupled with nonlinear kinematic hardening model is proposed. The new yield surface distortion model is used to simulate proportional and non-proportional cyclic loading paths. Distortion of the yield surface and its nonlinear effects on the plastic flow have been studied by researchers and various models. However, these models have been rarely applied to different non-proportional cyclic loading paths. The yield surface evolution is obtained by the new model in cyclic loading and its results are compared with the experimental results of Dannemeyer [30]. The new model with few constants predicts well the yield surface evolution under non-proportional loading paths which leads to well comparison of the numerical results with respect to the experimental results.