Non-iterative stress projection method for anisotropic hardening

Abstract

In this paper, a fully explicit non-iterative stress projection method for the instant stress integration of advanced plasticity models that account for the history-dependent deformation is proposed. In this non-iterative stress projection method, the stress increment is directly determined based on the elastoplastic constitutive law. Generalized formulations of the elastoplastic tangent moduli for anisotropic hardening models are discussed considering the morphological yield surface changes in the context. Precise integrations of the stress tensor, effective plastic strain, and other state variables are accomplished for kinematic- and distortional hardening models. The implemented plasticity hardening models are validated through a series of non-proportional loadings and a sheet metal forming simulation to check the fidelity, numerical robustness, and computational efficiency of the suggested non-iterative stress projection method. Consequently, the computation cost for a large-scale metal forming simulation is reduced up to 50%.