Non-iterative Stress Projection Method for Rate-Independent Plasticity

A fully-explicit stress integration method is comprehensively discussed via finite element analyses using three different classes of continuum plasticity models, i.e., anisotropic yield function, anisotropic hardening, and continuum damage model. A unified but straightforward formulation covers a wide range of rate-independent plasticity models. High accuracy, numerical robustness, and great efficiency are achieved through the use of generalized effective plastic strain and stress projection equations. In order to estimate the stress integration quality, an associated variable mapping technique, namely, the precision map, is introduced. Based on the precision map study, the current fully-explicit integration exhibits excellent accuracy. Furthermore, this non-iterative stress calculation reduces the computation cost by about 50% compared to conventional iterative stress update algorithms.