Modeling of complex cyclic inelasticity in heterogeneous polycrystalline microstructure

Based on the crystallographic slip theory, a micromechanical model for polycrystal elasto–inelasticity is proposed and applied to describe the mechanical behavior of a such structure under monotonic and cyclic loading paths. Small strain theory and isotropic elasticity are assumed. Biaxial cyclic loading is of particular interest in proposed work. The kinematic hardening of the polycrystal is naturally obtained from the averaging scheme. In this scheme, we use a self-consistent interaction law. The proposed modeling effort is tested for a FCC metal under different loading situations in order to elucidate its capability. The obtained results show that this model reproduces appropriately the principle cyclic features such as Bauschinger effect, strain memory effect, ratcheting and additional hardening and other effects.