Abstract
The precipitation kinetics of growth and coarsening of γ′(Ni3Al) and θ (Ni3V) in Ni75AlxV25−x alloys were investigated by microscopic phase-field simulation incorporated with elastic interactions. For the elastic interactions, γ′ aligned along the 〈001〉 direction and θ aligned along the [100] direction, which resulted in plate shape. For the lower (x < 4, at.%) and higher (x > 6) content regions, the growth of first precipitates was dominant at the initial stage and then coarsening was dominant, but the growth and coarsening proceeded simultaneously for the second precipitates. The growth and coarsening of γ′ and θ were dominant, respectively, at the initial and late stages for middle content regions. In addition, dynamic scaling was analyzed in the two-phase systems. It was shown that the dynamic scaling regimes were attained simultaneously at late-stage coarsening for γ′ and θ, despite the different precipitation order.
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Y. Nunomura, Y. Kaneno, H. Tsuda, and T. Takasugi: Phase relation and microstructure in multi-phase intermetallic alloys based on Ni3Al–Ni3Ti–Ni3V pseudo-ternary alloy system. Intermetallics 12, 389 (2004).
A. Suzuki and M. Takeyama: Formation and morphology of Kurnakov type D022 compound in disordered face-centured cubic γ–(Ni,Fe) matrix alloys. J. Mater. Res. 21, 21 (2006).
G. Muralidharan and H. Chen: Coarsening kinetics of coherent γ′ precipitates in ternary Ni-based alloys: The Ni–Al–Si system. Sci. Technol. Adv. Mater. 1, 51 (2000).
A.C. Lund and P.W. Voorhees: The effects of elastic stress on coarsening in the Ni–Al system. Acta Mater. 50, 2085 (2002).
D. Orlikowski, C. Sagui, A. Somoza, and C. Roland: Large-scale simulations of phase separation of elastically coherent binary alloy systems. Phys. Rev. B 59, 8646 (1999).
M. Takeyama and M. Kikuchi: Eutectoid transformations accompanied by ordering. Intermetallics 6, 573 (1998).
C. Pareige and D. Blavette: Simulation of the FCC → FCC + L12 + DO22 kinetic reaction. Scripta. Mater. 44, 243 (2001).
M. Tanimura, A. Hirata, and Y. Koyama: Kinetic process of the phase separation in the alloy Ni3Al0.52V0.48. Phys. Rev. B 70, 094111 (2004).
R. Poduri and L.Q. Chen: Computer simulation of atomic ordering and compositional clustering in the pseudobinary Ni3Al–Ni3V system. Acta Mater. 46, 1719 (1998).
L. Gránásy, T. Pusztai, T. Börzsönyi, G. Tóth, G. Tegze, J.A. Warren, and J.F. Douglas: Phase field theory of crystal nucleation and polycrystalline growth: A review. J. Mater. Res. 21, 309 (2006).
J.A. Warren and B.T. Murray: Ostwald ripening and coalescence of a binary alloy in two dimensions using a phase-field model. Model. Simul. Mater. Sci. Eng. 4, 215 (1996).
A.G. Khachaturyan: Theory of Structural Transformation in Solids (Wiley, New York, 1983), p. 226.
Y.S. Li, Z. Chen, Y.L. Lu, Y.X. Wang, and J.J. Zhang: Computer simulation for the precipitation process of Ni75Al7.5V17.5 alloy. Prog. Nat. Sci. 14, 1099 (2004).
Y.S. Li, Z. Chen, Y.L. Lu, Y.X. Wang, and Q.B. Lai: Microscopic phase-field simulation of atomic migration characteristics in Ni75AlxV25−x alloys. Mater. Lett. (2006, Doi: 10.1016/J.Matlet. 2006.06.038).
L.Q. Chen: Computer simulation of spinodal decomposition in ternary systems. Acta Metall. Mater. 42, 3503 (1994).
E.M. Lifshitz and L.P. Pitaevski: Statistical Physics (Pergamon Press, Oxford, UK, 1980).
K. Thornton, N. Akaiwa, and P.W. Voorhees: Dynamics of late-stage phase separation in crystalline solids. Phys. Rev. Lett. 86, 1259 (2001).
S.V. Prikhodko, J.D. Carnes, and D.G. Isaak: Elastic constants of a Ni–12.69 at.% Al alloy from 295 to 1300 K. Scripta Mater. 38, 67 (1997).
T. Miyazaki, M. Imamura, and T. Kozati: The formation of “γ′ precipitate doublets” in Ni–Al alloys and their energetic stability. Mater. Sci. Eng. 54, 9 (1982).
J.B. Singh, M. Sundararaman, S. Banerjee, and P. Mukhopadhya: Evolution of order in melt-spun Ni–25at.%V alloys. Acta Mater. 53, 1135 (2005).
A. Chakrabarti, R. Toral, and J.D. Gunton: Late-stage coarsening for off-criticak quenches: Scaling function and the growth law. Phys. Rev. E 47, 3025 (1993).
L. Marteau, C. Pareige, and D. Blavette: Imaging the three orientation variants of the D022 phase by 3D atom probe microscopy. J. Microsc. 204, 247 (2001).
A.C. Lund and P.W. Voorhees: The effect of elastic stress on coarsening in the Ni–Al system. Acta Mater. 50, 2085 (2002).
A.D. Sequera, H.A. Calderon, and G. Kostotz: Shape and growth anomalies of γ′ precipitates in Ni–Al–Mo alloys induced by elastic interaction. Scripta. Metall. Mater. 30, 7 (1994).
N. Akaiwa and P.W. Voorhees: Large scale numerical simulation of microstructural evolution in elastically stressed solids. Mater. Sci. Eng., A 285, 8 (2000).
A.G. Khachaturyan, S.V. Semenovskaya, and J.W. Morris Jr.: Theoretical analysis of strain-induced shape changes in cubic precipitates during coarsening. Acta Metall. 36, 1563 (1988).
M. Doi, T. Miyazaki, and T. Wakatsuki: The effects of elastic interaction energy on the γ′ precipitate morphology of continuously cooled nickel-base alloys. Mater. Sci. Eng. 74, 139 (1985).
J.S. Langer and A.J. Schwartz: Kinetics of nucleation in near-critical fluids. Phys. Rev. A 21, 948 (1980).
A.W. Zhu: Evolution of size distribution of shearable ordered precipitates under homogeneous deformation: Application to an Al–Li-alloy. Acta Metall. Mater. 45, 4213 (1997).
E.D. Siebert and C.M. Knobler: Measurements of homogeneous nucleation near a critical solution temperature. Phys. Rev. Lett. 52, 1133 (1984).
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Li, Y.S., Chen, Z., Lu, Y.L. et al. Coarsening kinetics of intermetallic precipitates in Ni75AlxV25−x alloys. Journal of Materials Research 22, 61–67 (2007). https://doi.org/10.1557/jmr.2007.0013
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DOI: https://doi.org/10.1557/jmr.2007.0013