Abstract
A micromechanical theory is developed to predict the elastoplastic behavior of a two-phase alloy. Taking crystallographic slip to be the mechanism of plastic deformation, this theory also considers stress redistribution due to elastic and plastic heterogeneity in both phases. The corresponding self-consistent relation for two-phase plasticity was derived combining the spirit of Hill, Hutchinson, and Berveiller & Zaoui. It is found upon applications that both elastic and rigid particles may have a profound effect on the hardening behavior of two-phase systems. When applied to austenite-ferrite stainless steels, the theory also provides reasonable estimates as compared to experiments. The fictitious kink point commonly associated tith the continuum models is seen to be absent due to the gradual yielding of the constituent grains.
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