Modeling of the monotonic and cyclic swift effects using anisotropic finite viscoplasticity theory based on overstress (AFVBO): Part I––Constitutive model

The isotropic finite viscoplasticity theory based on overstress (FVBO) is extended to anisotropy. It is accomplished by formulating an anisotropic flow law, which consists of a fourth order inelastic compliance tensor. Since large inelastic deformation causes a change in the microstructure, the aforementioned tensor is allowed to evolve according to the Frederick–Armstrong type law during inelastic deformation. Additive decomposition of the rate of deformation into elastic and inelastic parts is assumed. The current configuration is taken as a reference configuration.