A Cosserat crystal plasticity and phase field approach to grain boundary migration and recrystallization

Anna Ask, Samuel Forest, Kais Ammar
Centre des Matériaux, Mines ParisTech CNRS UMR 7633, PSL University

Benoît Appolaire, Institut Jean Lamour, Université de Lorraine, CNRS UMR 7198

Formulating appropriate simulation models that capture the microstructure evolution at the mesoscale in metals undergoing thermomechanical treatments is a formidable challenge. In this work, an approach combining higher-order dislocation density based crystal plasticity with a phasefield model is used to predict microstructure evolution in deformed polycrystals [1,2]. This approach allows to model the heterogeneous reorientation of the crystal lattice due to viscoplastic deformation inside the grains and the reorientation due to migrating grain boundaries. The Cosserat effects arise from the development of lattice rotation and curvature inside the grains and at the grain boundaries. The model is used to study the effect of strain localization in subgrain boundary formation and grain boundary migration due to stored dislocation densities. It is demonstrated that both phenomena are inherently captured by the coupled approach [3].

Publication References

G. Abrivard, E.P. Busso, S. Forest & B. Appolaire
Phase field modelling of grain boundary motion driven by curvature and stored energy gradients. Part II: Application to recrystallisation
Philosophical Magazine, Volume 92, 2012, Issue 28-30: Instabilities Across the Scales III
Anna Ask, Samuel Forest, Benoit Appolaire, Kais Ammar, Oguz Umut Salman

A Cosserat crystal plasticity and phase field theory for grain boundary migration

Journal of the Mechanics and Physics of Solids, Volume 115, June 2018

A. Ask, S. Forest, B. Appolaire and K. Ammar
A Cosserat-phase field theory of crystal plasticity and grain boundary migration at finite deformation
Continuum Mechanics and Thermodynamics, vol. 31, pp. 1109-1141, 2019.

A. Ask, S. Forest, B. Appolaire, K. Ammar
Microstructure evolution in deformed polycrystals predicted by a diffuse interface Cosserat approach
Advanced Modeling and Simulation in Engineering Sciences, volume 7, Article number 9, 2020.
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