[Une formulation basée sur la physique pour simuler l’évolution de la texture pendant la recristallisation dynamique. Une étude de cas pour la glace]
La recristallisation dynamique peut avoir un impact important sur le développement des textures pendant la déformation des matériaux polycristallins à haute température, en particulier pour les matériaux présentant une forte anisotropie viscoplastique comme la glace. En raison de cette anisotropie, la recristallisation est essentielle pour assurer la compatibilité des déformations et le développement des textures conduit à un adoucissement anisotrope. Une prédiction précise de l’effet de la recristallisation sur l’évolution de la texture de la glace est donc cruciale pour tenir compte de l’anisotropie mécanique induite par la texture dans les modèles à grande échelle de l’écoulement de la glace. Pourtant, cette prédiction reste un défi.
Nous proposons une nouvelle formulation pour modéliser l’évolution de la texture due à la recristallisation dynamique, basée sur des observations de l’évolution de la microstructure et de la texture de la glace se déformant par fluage de dislocations et recristallisation dynamique. Cette formulation repose sur un attracteur d’orientation qui maximise la contrainte de cisaillement résolue sur le système de glissement le plus facile dans le cristal. Elle est mise en œuvre dans l’équation décrivant l’évolution de l’orientation du cristal avec la déformation et couplée à une loi viscoplastique anisotrope qui fournit la réponse mécanique du cristal de glace. Cet ensemble d’équations, qui constitue le cœur du modèle R3iCe, est résolu par une méthode d’éléments finis avec un schéma semi-implicite codé à l’aide de la bibliothèque Rheolef. Le logiciel libre R3iCe qui en résulte est validé par comparaison avec des données de fluage en laboratoire pour des polycristaux de glace soumis à une compression uniaxiale, à un cisaillement simple et à une tension uniaxiale. Il reproduit correctement l’évolution de la texture et l’adoucissement mécanique observés lors de l’expérience pendant le fluage tertiaire. Bien que la formulation actuelle soit trop coûteuse en temps pour une mise en œuvre directe dans des modèles d’écoulement de glace à grande échelle, R3iCe peut être utilisé pour ajuster la paramétrisation utilisée pour mettre en œuvre l’anisotropie induite par la texture dans ces modèles. La validation a été effectuée pour la glace, mais l’implémentation de R3iCe est générique et s’applique à tout matériau dont le comportement peut être décrit de manière adéquate à l’aide d’une loi d’écoulement anisotrope.
Dynamic recrystallization can have a strong impact on texture development during the deformation of polycrystalline materials at high temperatures, particularly for materials with strong viscoplastic anisotropy such as ice. Owing to this anisotropy, recrystallization is essential for ensuring strain compatibility, and the development of textures leads to anisotropic softening. Accurate prediction of the effect of recrystallization on the texture evolution of ice is therefore crucial to adequately account for texture-induced mechanical anisotropy in large-scale models of glacial ice flow. However, this prediction remains a challenge.
We propose a new formulation for modeling texture evolution due to dynamic recrystallization on the basis of observations of the evolution of the microstructure and texture of ice deforming by dislocation creep and dynamic recrystallization. This formulation relies on an orientation attractor that maximizes the resolved shear stress on the easiest slip system in the crystal. It is implemented in the equation describing the evolution of the crystal orientation with deformation and is coupled with an anisotropic viscoplastic law that provides the mechanical response of the ice crystal. This set of equations, which is the core of the RiCe model is solved by a finite-element method with a semi-implicit scheme coded using the Rheolef library. The resulting open-source software RiCe is validated by comparison with laboratory creep data for ice polycrystals under uniaxial compression, simple shear, and uniaxial tension. It correctly reproduces the texture evolution and mechanical softening observed in the experiment during tertiary creep. Although the present formulation is too time-consuming for direct implementation in large-scale ice flow models, RiCe can be used to adjust the parameterization used to implement texture-induced anisotropy in these models. The validation was performed for ice, but the RiCe implementation is generic and applies to any material whose behavior may be adequately described using an anisotropic flow law.
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Mot clés : recristallisation dynamique, texture, anisotropie viscoplastique, méthode des éléments finis, glace
CC-BY 4.0
@article{CRMECA_2024__352_G1_99_0,
author = {Thomas Chauve and Maurine Montagnat and V\'eronique Dansereau and Pierre Saramito and K\'evin Fourteau and Andr\'ea Tommasi},
title = {A physically-based formulation for texture evolution during dynamic recrystallization. {A~case} study of ice},
journal = {Comptes Rendus. M\'ecanique},
pages = {99--134},
publisher = {Acad\'emie des sciences, Paris},
volume = {352},
year = {2024},
doi = {10.5802/crmeca.243},
language = {en},
}
TY - JOUR AU - Thomas Chauve AU - Maurine Montagnat AU - Véronique Dansereau AU - Pierre Saramito AU - Kévin Fourteau AU - Andréa Tommasi TI - A physically-based formulation for texture evolution during dynamic recrystallization. A case study of ice JO - Comptes Rendus. Mécanique PY - 2024 SP - 99 EP - 134 VL - 352 PB - Académie des sciences, Paris DO - 10.5802/crmeca.243 LA - en ID - CRMECA_2024__352_G1_99_0 ER -
%0 Journal Article %A Thomas Chauve %A Maurine Montagnat %A Véronique Dansereau %A Pierre Saramito %A Kévin Fourteau %A Andréa Tommasi %T A physically-based formulation for texture evolution during dynamic recrystallization. A case study of ice %J Comptes Rendus. Mécanique %D 2024 %P 99-134 %V 352 %I Académie des sciences, Paris %R 10.5802/crmeca.243 %G en %F CRMECA_2024__352_G1_99_0
Thomas Chauve; Maurine Montagnat; Véronique Dansereau; Pierre Saramito; Kévin Fourteau; Andréa Tommasi. A physically-based formulation for texture evolution during dynamic recrystallization. A case study of ice. Comptes Rendus. Mécanique, Volume 352 (2024), pp. 99-134. doi : 10.5802/crmeca.243. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.243/
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