Abstract
The fundamental relations of self-consistent scheme for elastic-plastic metallic polycrystals are reviewed. A simplified scheme is used to predict the behavior of polycrystal aggregates in uniaxial tension, radial loading in biaxial stretching, and nonproportional complex loading and under cyclic loading. The evolution of subsequent yield surfaces after some radial prestraining, the Bauschinger effect, and the hardening of polycrystals are discussed with respect to the experimental observations. All the fundamental features of real FCC materials under complex loading are well modeled. The results presented herein confirm the ability of the self-consistent scheme for determination of precise elastic-plastic constitutive relations for the cases where the phenomenological approach becomes nonefficient.
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