Abstract
Classical homogenization methods do not account for size effects in the effective properties of polycrystals: they do not predict the influence of grain size nor the width of shear bands in localization phenomena. The polycrystal can be regarded as an example of a heterogeneous Cosserat material. A method is proposed to estimate the effective properties of aggregates of Cosserat media. A validation of the methodology is given in the case of linear Cosserat elasticity. Some steps towards an extension of the self-consistent scheme to Cosserat materials are then presented.
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