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Micromorphic approach to crystal plasticity and phase transformation

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Plasticity and Beyond

Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 550))

Abstract

Continuum crystal plasticity models are extended to incorporate the effect of the dislocation density tensor on material hardening. The approach is based on generalized continuum mechanics including strain gradient plasticity, Cosserat and micromorphic media. The applications deal with the effect of precipitate size in two–phase single crystals and to the Hall-Petch grain size effect in polycrystals. Some links between the micromorphic approach and phase field models are established. A coupling between phase field approach and elastoviscoplasticity constitutive equations is then presented and applied to the prediction of the influence of viscoplasticity on the kinetics of diffusive precipitate growth and morphology changes.

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Authors and Affiliations

  1. Centre des matériaux, CNRS UMR 7633, MINES ParisTech, Evry, France

    Samuel Forest, Kais Ammar & Nicolas Cordero

  2. Laboratoire d'étude des microstructures, CNRS/ONERA, Châtillon, France

    Benoît Appolaire

  3. Dept. of Metallic Materials and Structures, ONERA, Châtillon, France

    Anaïs Gaubert

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  1. Samuel Forest
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  2. Kais Ammar
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  3. Benoît Appolaire
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  4. Nicolas Cordero
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  5. Anaïs Gaubert
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Correspondence to Samuel Forest .

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Editors and Affiliations

  1. University of Duisburg-Essen, Essen, Germany

    Jörg Schröder

  2. Ruhr University Bochum, Bochum, Germany

    Klaus Hackl

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Forest, S., Ammar, K., Appolaire, B., Cordero, N., Gaubert, A. (2014). Micromorphic approach to crystal plasticity and phase transformation. In: Schröder, J., Hackl, K. (eds) Plasticity and Beyond. CISM International Centre for Mechanical Sciences, vol 550. Springer, Vienna. https://doi.org/10.1007/978-3-7091-1625-8_3

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