The general method which work for the case of linear properties are taken as a pattern for the derivation of the local total strain rate field of an inhomogeneous material (such as a polycrystal, a composite, or multiphase material) submitted to a uniform macroscopic elastic-plastic strain rate; the localization procedure leads to an integral equation, the solution of which is shown to yield the overall behavior. This method allows to locate within a common framework all the classical approaches, namely Taylor’s, Lin’s ones, the self-consistent scheme…and to suggest possible extensions. Some significant results are reported, concerning strain-hardening, yield stress, and texture devolopment of FCC polycrystals, according to simplified, one-site self-consistent model.

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