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Micromorphic vs. Phase-Field Approaches for Gradient Viscoplasticity and Phase Transformations

  • Conference paper
Advances in Extended and Multifield Theories for Continua

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 59))

Abstract

Strain gradient models and generalized continua are increasingly used to introduce characteristic lengths in the mechanical behavior of materials with microstructure. On the other hand, phase-field models have proved to be efficient tools to simulate microstructure evolution due to thermodynamical processes in the presence of mechanical deformation. It is shown that both methods have strong connections from the point of view of thermomechanical field theory. A general formulation of thermomechanics with additional degrees of freedom is presented that encompasses both applications as special cases. It is based on the introduction of additional power of internal forces introducing generalized stresses. The current knowledge in the formulation of physically non-linear constitutive equations is used to develop strongly coupled elastoviscoplastic material models involving phase transformation and moving boundaries.

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Author information

Authors and Affiliations

  1. Centre des Matériaux, CNRS UMR 7633, Mines ParisTech, BP 87, 91003, Evry Cedex, France

    Samuel Forest & Kais Ammar

  2. LEM, ONERA/CNRS, 29 Avenue de la Division Leclerc, BP 72, 92322, Châtillon, France

    Benoît Appolaire

Authors
  1. Samuel Forest
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  2. Kais Ammar
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  3. Benoît Appolaire
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Editor information

Editors and Affiliations

  1. Institute of Applied Mechanics (Civil Engineering) Chair of Continuum Mechanics, University of Stuttgart, Pfaffenwaldring 7, 70569, Stuttgart, Germany

    Bernd Markert

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Forest, S., Ammar, K., Appolaire, B. (2011). Micromorphic vs. Phase-Field Approaches for Gradient Viscoplasticity and Phase Transformations. In: Markert, B. (eds) Advances in Extended and Multifield Theories for Continua. Lecture Notes in Applied and Computational Mechanics, vol 59. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22738-7_4

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  • DOI: https://doi.org/10.1007/978-3-642-22738-7_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22737-0

  • Online ISBN: 978-3-642-22738-7

  • eBook Packages: EngineeringEngineering (R0)

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