The complex macroscopic mechanical behavior due to the polycrystalline texture evolution under complex loading paths cannot be efficiently captured by the classical isotropic and kinematic hardening constitutive equations. The complex physical interplay of different directional texture leads to an evolving shape of the yield surface due to induced anisotropy, which can be described by distortional hardening. In the present work, induced anisotropy is explicitly developed using both motion and distortion of the yield and the plastic potential surfaces. A modified François (2001) model based on "egg-shaped" subsequent yield surfaces is developed. This model is controlled by three material parameters allowing the shape change in two orthogonal directions of kinematic hardening. Two surfaces (the yield function and the plastic potential) in the framework of nonassociated plasticity are used together with Continuum Damage Mechanics (CDM) framework in order to develop an elastoplastic model fully coupled with ductile damage. This model is implemented into ABAQUS/Explicit finite element code through the user subroutine/VUMAT. The capability of the developed model is briefly outlined through the comparison with Khan's experimental results with high work hardening alloy A1100.
Yue, Z., Badreddine, H., & Saanouni, K. (2014). A new model describing plastic distortion fully coupled with ductile damage. In Procedia Engineering (Vol. 81, pp. 1234–1239). Elsevier Ltd. https://doi.org/10.1016/j.proeng.2014.10.103