Modeling the microstructural evolution of Ni-base superalloys by phase field method combined with CALPHAD and CVM

Wang, Jincheng; Osawa, Makoto; Yokokawa, Toshio; Harada, Hiroshi; Enomoto, Masato

doi:10.1016/j.commatsci.2006.10.014

Cited by 61 publications

(39 citation statements)

References 27 publications

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“…36, is reasonable. There is also a contribution to v from the gradient in long-range order [87], but in phase-field simulations the magnitude of this contribution generally varies from 10 [87] to *400 times [88] smaller than the chemical contribution.…”

Section: Discussionmentioning

confidence: 99%

A1-L12 interfacial free energies from data on coarsening in five binary Ni alloys, informed by thermodynamic phase diagram assessments

Ardell

2011

J Mater Sci

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The data on coarsening of c 0 -type precipitates (Ni 3 X, with the L1 2 crystal structure) in Ni-Al, Ni-Ga, Ni-Ge, Ni-Si, and Ni-Ti alloys are re-evaluated in the context of recent (TIDC) and classical (LSW) theories of coarsening, with the objective of ascertaining the best values possible of interfacial free energies, r, of the c/c 0 interfaces in these five alloy systems. The re-evaluations include fitting of the particle size distributions, reanalyzing all the available data on the kinetics of particle growth and kinetics of solute depletion, and using thermodynamic assessments of the binary alloy phase diagrams to calculate curvatures of the Gibbs free energies of mixing. The product of the work is two sets of interfacial free energies, one set for the analysis using the recent TIDC theory and the other for the analysis using the classical LSW theory. The TIDC-based analysis yields lower values of r by about a factor of 2/3. All the interfacial energies are considerably larger, by factors ranging from *4 to 10, than those previously reported, which were for the most part calculated from data on coarsening assuming idealsolution thermodynamics. In the TIDC theory the width of the interface, d, is allowed to increase with particle size, r. A simple equation relating r to the ratio of the gradient energy and d is used to show that r can remain constant even though d increases with r. Published work supporting this contention is presented and discussed.

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Section: Discussionmentioning

confidence: 99%

A1-L12 interfacial free energies from data on coarsening in five binary Ni alloys, informed by thermodynamic phase diagram assessments

Ardell

2011

J Mater Sci

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“…In recent years, the phase field method has become a powerful tool in studying microstructure evolution. By using phase field method, Zhu et al [3,4] and Wang et al [5] have investigated the precipitation process of Ni 3 Al particles from g matrix and the coarsening kinetics of these particles in the NieAl binary system. Wu et al [6e8] have simulated the effect of interdiffusion among multiple components on the microstructure evolution of Ni-based superalloys.…”

Section: Introductionmentioning

confidence: 99%

Phase field modeling the growth of Ni3Al layer in the β/γ diffusion couple of Ni–Al binary system

et al. 2011

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“…Several investigations have also examined the more complex case of continuous cooling of multi-component commercial alloys [30][31][32][33][34][35][36]. Furthermore, classical deterministic analyses of precipitation have been complemented by more-detailed statistical treatments such as those based on the phasefield method, e.g., references [37][38][39][40][41]. Although computationally more intensive, these approaches are often used to quantify those conditions under which precipitates evolve from a spheroidal to a cuboidal shape as they grow large.…”

Section: Introductionmentioning

confidence: 99%

Precipitation in powder-metallurgy, nickel-base superalloys: review of modeling approach and formulation of engineering methods to determine input data

Semiatin

Zhang

Larsen³

et al. 2016

Integr Mater Manuf Innov

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Methods for determining the various thermodynamic and kinetic parameters required for the modeling of γ ′ precipitation in powder-metallurgy (PM), nickel-base superalloys are summarized. These parameters comprise the composition of the γ ′ phase, the γ ′ solvus temperature/equilibrium solvus approach curve, the free energy (ΔG*) associated with the decomposition of the γ matrix to form γ ′, the γ/γ ′ interfacial energy σ, and an effective diffusivity for use in nucleation, growth, and coarsening calculations.Techniques to obtain the material data include phase extraction (for the average composition of γ ′) and heat-treatment/quantitative metallography (for a two-parameter fit of the solvus approach curve). With regard to ΔG*, two methods, one based on the instantaneous composition of the γ and γ ′ phases and the other on the enthalpy of transformation and the solvus temperature, are summarized. It is shown that the interfacial energy σ can be determined from the nucleation-onset temperature as indicated by on-cooling specific-heat measurements. Last, the use of a limited set of static-coarsening measurements to estimate the effective diffusivity is described. The application of the various protocols is illustrated for typical first-, second-, and third-generation PM superalloys, i.e., IN-100, René 88, and LSHR/ME3, respectively.

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Modeling the microstructural evolution of Ni-base superalloys by phase field method combined with CALPHAD and CVM

Cited by 61 publications

References 27 publications

A1-L12 interfacial free energies from data on coarsening in five binary Ni alloys, informed by thermodynamic phase diagram assessments

A1-L12 interfacial free energies from data on coarsening in five binary Ni alloys, informed by thermodynamic phase diagram assessments

Phase field modeling the growth of Ni3Al layer in the β/γ diffusion couple of Ni–Al binary system

Precipitation in powder-metallurgy, nickel-base superalloys: review of modeling approach and formulation of engineering methods to determine input data

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