Mean‐field homogenization based constitutive modeling of austenitic TRIP‐steels at the single crystal scale

In order to accurately describe the effective mechanical behavior of single‐crystalline, austenitic TRIP‐steels, a two‐phase mean‐field homogenization scheme is presented in a finite deformation framework, which also includes transformation‐induced eigendeformations. The constitutive behavior of the two phases, namely austenite and martensite, is described by a rate‐independent single‐crystal plasticity model that captures elastic anisotropy as well as anisotropic slip and hardening behavior. The response of the two‐phase model under homogeneous deformation states is investigated and a particle strengthening effect is predicted in the absence of transformation‐induced eigendeformations and a suitable choice of material constants, while upon the inclusion of eigendeformations a gradual stress softening is observed.