Phase-field modeling of the γ′-coarsening behavior in Ni-based superalloys

Kundin, Julia; Mushongera, Leslie T.; Goehler, T.; Emmerich, Heike

doi:10.1016/j.actamat.2012.03.023

Cited by 73 publications

(29 citation statements)

References 21 publications

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“…Computational tools based upon thermodynamic and kinetic models exist to predict such precipitate evolution. [6][7][8][9] However, further experimental studies are needed to validate the assumptions made in these models, particularly the compositions of the γ′ precipitates, as these are known to differ between the primary, secondary, and tertiary distributions and will change with time at temperature.…”

Section: Introductionmentioning

confidence: 99%

Gamma Prime Precipitate Evolution During Aging of a Model Nickel-Based Superalloy

Goodfellow

Galindo-Nava

Christofidou

et al. 2017

Metall Mater Trans A

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The microstructural stability of nickel-based superalloys is critical for maintaining alloy performance during service in gas turbine engines. In this study, the precipitate evolution in a model polycrystalline Ni-based superalloy during aging to 1000 hours has been studied via transmission electron microscopy, atom probe tomography, and neutron diffraction. Variations in phase composition and precipitate morphology, size, and volume fraction were observed during aging, while the constrained lattice misfit remained constant at approximately zero. The experimental composition of the γ matrix phase was consistent with thermodynamic equilibrium predictions, while significant differences were identified between the experimental and predicted results from the γ′ phase. These results have implications for the evolution of mechanical properties in service and their prediction using modeling methods.

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Section: Introductionmentioning

confidence: 99%

Gamma Prime Precipitate Evolution During Aging of a Model Nickel-Based Superalloy

Goodfellow

Galindo-Nava

Christofidou

et al. 2017

Metall Mater Trans A

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“…Most of simulations related to the microstructure formation in superalloys are mainly performed in two dimensions [4,5,15]. While 2D simulations allow to reproduce cuboidal (rectangular in 2D) shape of the γ particles which is the main topological feature of the γ -γ microstructure, it is not possible to study the realistic coarsening kinetics due to the intrinsic This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.…”

Section: Simulation Setupmentioning

confidence: 99%

“…High technological importance of superalloys led to significant efforts towards understanding the mechanisms responsible for γ -γ microstructure formation over the past half century [1] and is still active in recent years [2][3][4][5]. At present there is a significant amount of knowledge related to prediction and modelling of microstructure evolution and coarsening kinetics.…”

Section: Introductionmentioning

confidence: 99%

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Large scale 3-D phase-field simulation of coarsening in Ni-base superalloys

Rajendran

Shchyglo²,

Steinbach³

2014

MATEC Web of Conferences

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Abstract. In this study we present a large scale numerical simulation of γ -γ microstructure evolution in Nibase superalloy using the multi-phase field method in three dimensions. We numerically simulated precipitation hardening heat treatment cycles. Large scale three dimensional simulations are necessary in order to get sufficient statistics for predicting the morphological evolution, average γ precipitate size, precipitates size distribution over time and ripening exponent for a given temperature and composition. A detailed analysis of obtained result is presented emphasising the effect of elastic interaction on the coarsening kinetics in Ni-base superalloy. The study is performed using the phase-field modelling library "OpenPhase" which is based on a multi-phase field multi-component model.

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“…A similar dynamic evolution model has also been used to predict equilibrium shapes in 3Ds in Reference 28. Apart from the determination of equilibrium shapes, the diffuse-interface methods have also been used for the study of growth and coarsening of multi-particle systems, [27,[29][30][31][32][33][34] instabilities, [35] and rafting. [36][37][38][39][40][41] In all the above studies, the central focus of investigation has been the study of equilibrium shapes of precipitates where the anisotropy exists only in the elastic energy.…”

Section: Introductionmentioning

confidence: 99%

Phase-Field Modeling of Equilibrium Precipitate Shapes Under the Influence of Coherency Stresses

Bhadak

Sankarasubramanian

Choudhury

2018

Metall Mater Trans A

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Coherency misfit stresses and their related anisotropies are known to influence the equilibrium shapes of precipitates. Additionally, mechanical properties of the alloys are also dependent on the shapes of the precipitates. Therefore, in order to investigate the mechanical response of a material which undergoes precipitation during heat treatment, it is important to derive the range of precipitate shapes that evolve. In this regard, several studies have been conducted in the past using sharp-interface approaches where the influence of elastic energy anisotropy on the precipitate shapes has been investigated. In this paper, we propose a diffuse interface approach which allows us to minimize grid-anisotropy-related issues applicable to sharp-interface methods. In this context, we introduce a novel phase-field method where we minimize the functional consisting of the elastic and surface energy contributions while preserving the precipitate volume. Using this technique, we reproduce the shape bifurcation diagrams for the cases of pure dilatational misfit that have been studied previously using sharp-interface methods and then extend them to include interfacial energy anisotropy with different anisotropy strengths which has not been a part of previous sharp-interface models. While we restrict ourselves to cubic anisotropies in both elastic and interfacial energies in this study, the model is generic enough to handle any combination of anisotropies in both the bulk and interfacial terms. Further, we have examined the influence of asymmetry in dilatational misfit strains along with interfacial energy anisotropy on precipitate morphologies.

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Phase-field modeling of the γ′-coarsening behavior in Ni-based superalloys

Cited by 73 publications

References 21 publications

Gamma Prime Precipitate Evolution During Aging of a Model Nickel-Based Superalloy

Gamma Prime Precipitate Evolution During Aging of a Model Nickel-Based Superalloy

Large scale 3-D phase-field simulation of coarsening in Ni-base superalloys

Phase-Field Modeling of Equilibrium Precipitate Shapes Under the Influence of Coherency Stresses

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