Work

Implementation of an orthotropic plasticity model with advanced kinematic hardening rule for additively manufactured materials

Year: 2026

Type: article

Abstract: A plasticity model is proposed and implemented in FE code to simulate additively manufactured materials under cyclic loading. The model uses Hill’s orthotropic yield function, a modified kinematic hardening rule after Dafalias and Feigenbaum with multi-component backstress, and an isotropic hardening rule after Chaboche, along with an associative flow rule. A complete set of the model’s governing equations is listed, and a constitutive initial value problem is formulated. Procedures for FE implementation of the model, including numerical integration, are presented using Mandel notation. FE implementation is based on the displacement formulation and aims to implement the model in Abaqus FE code through the UMAT interface. Several examples for cyclic loading trajectories are given together with stress–strain results. These results are compared with those obtained using isotropic conditions to see the effects of the orthotropic model. The accuracy and stability of the integration method is analyzed in detail.

Source: Results in Engineering

DOI: 10.1016/j.rineng.2026.113187