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A model-reduction approach to the micromechanical analysis of polycrystalline materials

Abstract : The present study is devoted to the extension to polycrystals of a model-reduction technique introduced by the authors, called the Nonuniform Transformation Field Analysis (NTFA). This new reduced model is obtained in two steps. First the local fields of internal variables are decomposed on a reduced basis of modes as in the NTFA. Second the dissipation potential of the phases is replaced by its tangent second-order (TSO) expansion. Thanks to the second approximation the reduced evolution equations of the model can be entirely expressed in terms of quantities which can be pre-computed once for all. Roughly speaking, these pre-computed quantities depend only on the average and fluctuations per phase of the modes and of the associated stress fields. The accuracy of the new NTFA-TSO model is assessed by comparison with full-field simulations on two specific applications, creep of polycrystalline ice and response of polycrystalline copper to a cyclic tension-compression test. The new reduced evolution equations is faster than the full-field computations by two orders of magnitude in the two examples.
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https://hal.archives-ouvertes.fr/hal-01246753
Contributor : Pierre Suquet <>
Submitted on : Saturday, December 19, 2015 - 1:48:08 PM
Last modification on : Friday, April 30, 2021 - 3:25:42 AM
Long-term archiving on: : Saturday, April 29, 2017 - 10:35:56 PM

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Jean-Claude Michel, Pierre Suquet. A model-reduction approach to the micromechanical analysis of polycrystalline materials. Computational Mechanics, Springer Verlag, 2016, 57, pp.483-508. ⟨10.1007/s00466-015-1248-9⟩. ⟨hal-01246753⟩

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