Abstract
This paper intends to clarify the effect of inhomogeneity in grain aggregate scales on the Bauschinger behavior of polycrystals, which crucially affect the springback characteristics during the stamping processes, from a novel viewpoints based on the field theory of plasticity. A series of crystal plasticity-based FE simulations is carried out on dual phase polycrystalline models with 50% volume fraction of the hard phase. The relationship between elastic strain energy and incompatibility tensor field at maximum tensile stress is extensively examined. Linear relationships are found to hold for all the models. Furthermore, the slopes of the relations are demonstrated to be precisely predicted based on the correlation functions of the fluctuating field quantities.