Abstract

A homogenization scheme for nonlinear viscoplastic composites is developed on the basis of a plane-wave decomposition of the constitutive potentials and a scalar linearization of the generalized-secant type. Self-consistent predictions for rigidly reinforced blends flowing in accordance with a power law are reported and confronted to similar predictions obtained with a tensorial linearization of the same generalized-secant type. The two sets of predictions are found to agree for weak nonlinearities but to diverge for strong nonlinearities. Implications are discussed.

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