Development of a level set methodology to simulate grain growth in the presence of real secondary phase particles and stored energy – Application to a nickel-base superalloy

Agnoli, Andrea; Bozzolo, Nathalie; Logé, Roland E.; Franchet, Jean‐Michel; Laigo, Johanne; Bernacki, Marc

doi:10.1016/j.commatsci.2014.03.054

Cited by 56 publications

(47 citation statements)

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“…This profile was observed in many γ-γ' alloys, either cast like Waspaloy, Inconel-550, Nimonic 80A [10] or powder metallurgy (PM) alloys: N18 [11], René 95 [12], René 88 DT [13,14], Astroloy [15]. Similar behavior has also been reported in the γ-γ"-δ alloy Inconel 718 [17,[22][23][24]. The exact strain range at which the overgrown grains appear depends on the alloy itself, as well as on the deformation path and annealing conditions.…”

Section: Literature Background: Excessive Grain Growth Phenomena In Nsupporting

confidence: 67%

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Overgrown grains appearing during sub-solvus heat treatment in a polycrystalline γ-γ’ Nickel-based superalloy

2018

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Highlights 1) Grain overgrowth during annealing after deformation is a case of critical recrystallization involving a limited number of nuclei. 2) The difference in stored energy between the overgrown grains and the matrix is the key microstructural driving force. 3) The self-impingement of the overgrown grains is the main size-limiting phenomenon, before Zener-pinning by second-phase particles. 4) The relative magnitudes of the driving forces at the deformed state enable to predict the occurrence of this phenomenon.

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Section: Literature Background: Excessive Grain Growth Phenomena In Nsupporting

confidence: 67%

“…If the thermal treatment after cold deformation is performed at a sub-solvus temperature, second phase particles should prevent exaggerated grain growth [12,14,24]. Dahlen et al [15] have nevertheless observed this phenomenon in Astroloy, in the two-phase domain.…”

Section: A Favorable Distribution Of Stored Energy (Se)mentioning

confidence: 99%

Overgrown grains appearing during sub-solvus heat treatment in a polycrystalline γ-γ’ Nickel-based superalloy

2018

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“…The level set method has been however extensively used to study recrystallization and grain growth in polycrystalline materials [22][23][24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

A two-dimensional study of coupled grain boundary motion using the level set method

Basak

Gupta

2014

Modelling Simul. Mater. Sci. Eng.

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The coupled motion of a closed non-circular grain boundary (GB) in a bicrystal, with both isotropic and anisotropic GB energies, is studied using the level set method. The kinetic relations, obtained within the framework of linear irreversible thermodynamics, govern the overall dynamics including normal motion (migration) of the GB, viscous sliding along the GB, and tangential motion of the grains which is geometrically coupled with the migration. The shape accommodation necessary to maintain coherency of relatively rotating and non-deforming grains is accomplished by allowing for diffusion along the GB. We solve the governing equations for the coupled motion to determine the shape and the misorientation evolution of an isolated GB under various constitutive assumptions. First, assuming both GB energy and kinetic coefficients to be isotropic, we study the interplay between kinetic coefficients for initially circular, near-circular, and non-circular GBs, as well as the role of stress and initial conditions on the GB dynamics. Next, we study the influence of anisotropy in GB energy, mobility, and geometric coupling for various combinations of parameters and initial conditions. Allowing for geometric coupling can in fact lead to distinctly different shapes than what are usually predicted on the basis of migration alone. Our numerical scheme provides a general framework to study these and other related problems of GB motion.

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“…A 2D grain growth model based on LS is used in [48] and compared to other 2D mean field models under assumption of isotropic grain boundary properties. The influence of secondary particles on 2D grain growth is modeled by LS in [49].…”

Section: Introductionmentioning

confidence: 99%

Influence of anisotropic grain boundary properties on the evolution of grain boundary character distribution during grain growth—a 2D level set study

Hallberg

2014

Modelling Simul. Mater. Sci. Eng.

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The present study elaborates on a 2D level set model of polycrystal microstructures that was recently established by adding the influence of anisotropic grain boundary energy and mobility on microstructure evolution. The new model is used to trace the evolution of grain boundary character distribution during grain growth. The employed level set formulation conveniently allows the grain boundary characteristics to be quantified in terms of coincidence site lattice (CSL) type per unit of grain boundary length, providing a measure of the distribution of such boundaries. In the model, both the mobility and energy of the grain boundaries are allowed to vary with misorientation. In addition, the influence of initial polycrystal texture is studied by comparing results obtained from a polycrystal with random initial texture against results from a polycrystal that initially has a cube texture. It is shown that the proposed level set formulation can readily incorporate anisotropic grain boundary properties and the simulation results further show that anisotropic grain boundary properties only have a minor influence on the evolution of CSL boundary distribution during grain growth. As anisotropic boundary properties are considered, the most prominent changes in the CSL distributions are an increase of general low-angle Σ1 boundaries as well as a more stable presence of Σ3 boundaries. The observations also hold for the case of an initially cube-textured polycrystal. The presence of this kind of texture has little influence over the evolution of the CSL distribution. Although considering the anisotropy of grain boundary properties, grain growth alone does not seem to be sufficient to promote any significantly increased overall presence of CSL boundaries.

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Development of a level set methodology to simulate grain growth in the presence of real secondary phase particles and stored energy – Application to a nickel-base superalloy

Cited by 56 publications

References 20 publications

Overgrown grains appearing during sub-solvus heat treatment in a polycrystalline γ-γ’ Nickel-based superalloy

Overgrown grains appearing during sub-solvus heat treatment in a polycrystalline γ-γ’ Nickel-based superalloy

A two-dimensional study of coupled grain boundary motion using the level set method

Influence of anisotropic grain boundary properties on the evolution of grain boundary character distribution during grain growth—a 2D level set study

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