# A Mori-Tanaka homogenization scheme for non-linear elasto-viscoplastic heterogeneous materials based on translated fields: An affine extension

Abstract : A Mori-Tanaka homogenization scheme based on the translated fields'' approach is extended to elasto-viscoplastic composites with non-linear viscoplasticity described by a first-order affine''-type linearization. This extension leads to a new theoretical interaction law between mechanical average phase fields and overall ones. This interaction law contains the coupling between elastic- and viscoplastic- mechanical interactions and phase stress histories. In order to study and discuss the validity of the present approach, the results are reported for two-phase composites and are compared to other approaches.
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Journal articles
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https://hal.univ-lorraine.fr/hal-01513857
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Submitted on : Tuesday, April 25, 2017 - 3:04:33 PM
Last modification on : Friday, November 26, 2021 - 6:06:16 PM

### Citation

Stéphane Berbenni, Laurent Capolungo. A Mori-Tanaka homogenization scheme for non-linear elasto-viscoplastic heterogeneous materials based on translated fields: An affine extension. Comptes Rendus Mécanique, Elsevier, 2015, 343 (2), pp.95-106. ⟨10.1016/j.crme.2014.12.003⟩. ⟨hal-01513857⟩

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