DOI: 10.1007/bf02648953. The phase-field method: simulation of alloy dendritic solidification during recalescence

The phase-field method: simulation of alloy dendritic solidification during recalescence

10.1007/bf02648953

Crossref journal-article

Springer Science and Business Media LLC

Metallurgical and Materials Transactions A (297)

Bibliography

Boettinger, W. J., & Warren, J. A. (1996). The phase-field method: simulation of alloy dendritic solidification during recalescence. Metallurgical and Materials Transactions A, 27(3), 657â669.

Authors 2

William J. Boettinger (first)
James A. Warren (additional)

References 52 Referenced 91

A.A. Wheeler, W.J. Boettinger, and G.B. McFadden:Phys. Rev. A, 1992, vol. 45, pp. 7424–39. (10.1103/PhysRevA.45.7424) / Phys. Rev. A by A.A. Wheeler (1992)
A.A. Wheeler, W.J. Boettinger, and G.B. McFadden:Phys. Rev. E, 1993, vol.47,pp. 1893–1909. (10.1103/PhysRevE.47.1893) / Phys. Rev. E by A.A. Wheeler (1993)
W.J. Boettinger, A.A. Wheeler, B.T. Murray, and G.B. McFadden:Mater. Sci. Eng., 1994, vol. A178, pp. 217–23. (10.1016/0921-5093(94)90546-0) / Mater. Sci. Eng. by W.J. Boettinger (1994)
J.A. Warren and W.J. Boettinger:Acta Metall. Mater., 1995, vol. 43, pp. 689–703. (10.1016/0956-7151(94)00285-P) / Acta Metall. Mater. by J.A. Warren (1995)
G. Calginalp and W. Xie:Phys. Rev. E, 1993, vol. 48, pp. 1897–1909. (10.1103/PhysRevE.48.1897) / Phys. Rev. E by G. Calginalp (1993)
J.A. Warren and B.T. Murray: unpublished research, NIST, Gaithersburg, MD 1994.
A. Karma:Phys. Rev. E, 1994, vol. 49, pp. 2245–50. (10.1103/PhysRevE.49.2245) / Phys. Rev. E by A. Karma (1994)
K.R. Elder, F. Drolet, J.M. Kosterlitz, and M. Grant:Phys. Rev. Lett, 1994, vol. 72, pp. 677–80. (10.1103/PhysRevLett.72.677) / Phys. Rev. Lett by K.R. Elder (1994)
Misbah and D.E. Temkin:Phys. Rev. E., 1994, vol. 49, pp. 3159–65. (10.1103/PhysRevE.49.3159) / Phys. Rev. E. by Misbah (1994)
A.A. Wheeler, G.B. McFadden, and W.J. Boettinger: NIST Int. Rpt. 5523,1994 (Avail. from NTIS).
J.S. Langer: inDirections in Condensed Matter Physics, G. Grinstein and G. Mazenko, eds., World Scientific, Philadelphia, PA, 1986, pp. 165–86. (10.1142/9789814415309_0005) / Directions in Condensed Matter Physics by J.S. Langer (1986)
B.I. Halperin, P.C. Hohenburg, and S.-K. Ma:Phys. Rev. B, 1974, vol. 10, pp. 139–53. (10.1103/PhysRevB.10.139) / Phys. Rev. B by B.I. Halperin (1974)
J.B. Collins and H. Levine:Phys. Rev. B, 1985, vol. 31, pp. 6119–22. (10.1103/PhysRevB.31.6119) / Phys. Rev. B by J.B. Collins (1985)
G. Caginalp:Arch. Rat. Mech. Anal., 1986, vol. 92, pp. 205–45. (10.1007/BF00254827) / Arch. Rat. Mech. Anal. by G. Caginalp (1986)
G. Caginalp:Phys. Rev. A, 1989, vol. 39, pp. 5887–96. (10.1103/PhysRevA.39.5887) / Phys. Rev. A by G. Caginalp (1989)
A.R. Umantsev and A.L. Roytburd:Sov. Phys. Solid State, 1988, vol. 30, pp. 651–55. / Sov. Phys. Solid State by A.R. Umantsev (1988)
A.R. Umantsev:J. Chem. Phys., 1992, vol. 96, pp. 605–17. (10.1063/1.462883) / J. Chem. Phys. by A.R. Umantsev (1992)
R. Kobayashi: inComputational Optimal Geometries, J. Taylor, ed., American Mathematical Society Providence, RI, 1991, pp. 24–25. / Computational Optimal Geometries by R. Kobayashi (1991)
R. Kobayashi:PhysicaD, 1993, vol. 63,pp. 410–23. / PhysicaD by R. Kobayashi (1993)
R. Kobayashi:Exper. Math., 1994, vol. 3, pp. 59–81. (10.1080/10586458.1994.10504577) / Exper. Math. by R. Kobayashi (1994)
A.A. Wheeler, B.T. Murray, and R.J. Schaefer:PhysicaD, 1993, vol. 66, pp. 243–62. / PhysicaD by A.A. Wheeler (1993)
B.T. Murray, W.J. Boettinger, G.B. McFadden, and A.A. Wheeler: inHeat Transfer in Melting, Solidification, and Crystal Growth, 1993, Iz S. Habib and S. Thynell, eds., ASME, New York, NY, 1993, pp. 67–76. / Heat Transfer in Melting, Solidification, and Crystal Growth, 1993 by B.T. Murray (1993)
B.T. Murray, A.A. Wheeler, and M.E. Glicksman:J. Cryst. Growth, 1995, in press.
Y. Saito, G. Goldbeck-Wood, and H. Müller-Krumbaar:Phys. Rev. A, 1988, vol. 38, pp. 2148–57. (10.1103/PhysRevA.38.2148) / Phys. Rev. A by Y. Saito (1988)
D. Juric and G. Tryggvason:J. Computational Phys., 1995, in press.
J.M. Sullivan and H. Hao: inHeat Transfer in Melting, Solidification, and Crystal Growth, 1993, Iz S. Habib and S. Thynell, eds., ASME, New York, NY, 1993, pp. 14–19. / Heat Transfer in Melting, Solidification, and Crystal Growth, 1993 by J.M. Sullivan (1993)
M.E. Rose:Math. Comp., 1960, vol. 14, pp. 249–56. (10.2307/2003164) / Math. Comp. by M.E. Rose (1960)
A.B. Crowley and J.R. Ockendon:Int. J. Heat Mass Transfer, 1979, vol. 22, pp. 941–47. (10.1016/0017-9310(79)90034-6) / Int. J. Heat Mass Transfer by A.B. Crowley (1979)
J. Crank:Free and Moving Boundary Problems, Oxford University Press, Oxford, United Kingdom, 1984, p. 217. / Free and Moving Boundary Problems by J. Crank (1984)
S.-L. Wang, R.F. Sekerka, A.A. Wheeler, B.T. Murray, S.R. Coriell, R.J. Braun, and G.B. McFadden:Physica D, 1993, vol. 69, pp. 189–200. (10.1016/0167-2789(93)90189-8) / Physica D by S.-L. Wang (1993)
L.V. Mikeev and A.A. Chernov:J. Cryst. Growth, 1991, vol. 112, pp. 591–96. (10.1016/0022-0248(91)90340-B) / J. Cryst. Growth by L.V. Mikeev (1991)
R. Evans:Adv. Phys., 1979, vol. 28, pp. 143–200. (10.1080/00018737900101365) / Adv. Phys. by R. Evans (1979)
J.Q. Broughton, A. Bonissent, and F.F. Abraham:J. Chem Phys., 1981, vol. 74, pp. 4029–39. (10.1063/1.441583) / J. Chem Phys. by J.Q. Broughton (1981)
P.R. Harowell and D.W. Oxtoby:J. Chem. Phys., 1987, vol. 86, pp. 2932- 42. (10.1063/1.452044) / J. Chem. Phys. by P.R. Harowell (1987)
S.M. Allen and J.W. Cahn:Acta Metall., 1979, vol. 27, pp. 1085–95. (10.1016/0001-6160(79)90196-2) / Acta Metall. by S.M. Allen (1979)
G.B. McFadden, A.A. Wheeler, R.J. Braun, S.R. Coriell, and R.F. Sekerka:Phys. Rev. E, 1993, vol. 48, pp. 2016–24. (10.1103/PhysRevE.48.2016) / Phys. Rev. E by G.B. McFadden (1993)
R.J. Schaefer and M.E. Glicksman:J. Crys. Growth, 1969, vol. 5, pp. 44- 58. (10.1016/0022-0248(69)90075-X) / J. Crys. Growth by R.J. Schaefer (1969)
R.J. Braun, G.B. McFadden, and S.R. Coriell:Phys. Rev. E, 1994, vol. 49, pp. 4336–52. (10.1103/PhysRevE.49.4336) / Phys. Rev. E by R.J. Braun (1994)
M.E. Glicksman and S.P. Marsh: inHandbook of Crystal Growth IB: Fundamentals, Transport and Stability, D.T. J. Hurle, ed., North-Holland, Amsterdam, 1993, pp. 1075–1122.
S.-L. Wang: Ph.D. Thesis, Carnegie Mellon University, Pittsburgh, PA, 1995.
S.-L. Wang and R.F. Sekerka: Carnegie-Mellon University, Pittsburgh, PA, unpublished research, 1994.
M.J. Aziz:J. Appl Phys., 1982, vol. 53, pp. 1158–68. (10.1063/1.329867) / J. Appl Phys. by M.J. Aziz (1982)
M.J. Aziz and T. Kaplan:Acta Metall. Mater., 1988, vol. 8, pp. 2335–47. (10.1016/0001-6160(88)90333-1) / Acta Metall. Mater. by M.J. Aziz (1988)
J.S. Langer and R.F. Sekerka:Acta Metall., 1975, vol. 23, pp. 1225–37. (10.1016/0001-6160(75)90041-3) / Acta Metall. by J.S. Langer (1975)
J.W. Cahn:Trans. TMS-AIME, 1968, vol. 242, pp. 166–80. / Trans. TMS-AIME by J.W. Cahn (1968)
J.E. Hilliard: inPhase Transformations, ASM INTERNATIONAL, Metals Park, OH, 1970, pp. 497–560. / Phase Transformations by J.E. Hilliard (1970)
M. RappazandP. Thevoz:Acta Metall., 1987, vol. 35, pp. 1487–97. (10.1016/0001-6160(87)90094-0) / Acta Metall. by M. Rappazand (1987)
M. Rappaz:Int. Met. Rev., 1989, vol. 34, pp. 93–123. (10.1179/imr.1989.34.1.93) / Int. Met. Rev. by M. Rappaz (1989)
B. Giovanola and W. Kurz,Metall. Trans. A, 1990, vol. 21A, pp. 260–63. (10.1007/BF02656445) / Metall. Trans. A by B. Giovanola (1990)
W.J. Boettinger, L.A. Bendersky, S.R. Coriell, R.J. Schaefer, and F.S. Biancaniello:J. Cryst. Growth, 1987, vol. 80,pp. 17–25. (10.1016/0022-0248(87)90518-5) / J. Cryst. Growth by W.J. Boettinger (1987)
H.D. Brody and M.C. Flemings:Trans. TMS-AIME, 1966, vol. 236, p. 615. / Trans. TMS-AIME by H.D. Brody (1966)
S. Kobayashi:J. Cryst. Growth, 1988, vol. 88, pp. 87–96. (10.1016/S0022-0248(98)90010-0) / J. Cryst. Growth by S. Kobayashi (1988)

Dates

Type	When
Created	18 years, 2 months ago (June 12, 2007, 2:39 a.m.)
Deposited	2 years, 3 months ago (May 17, 2023, 4:15 p.m.)
Indexed	1 month, 4 weeks ago (July 4, 2025, 9:04 a.m.)
Issued	29 years, 6 months ago (March 1, 1996)
Published	29 years, 6 months ago (March 1, 1996)
Published Print	29 years, 6 months ago (March 1, 1996)

Funders 0

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BibTeX

@article{Boettinger_1996, title={The phase-field method: simulation of alloy dendritic solidification during recalescence}, volume={27}, ISSN={1543-1940}, url={http://dx.doi.org/10.1007/bf02648953}, DOI={10.1007/bf02648953}, number={3}, journal={Metallurgical and Materials Transactions A}, publisher={Springer Science and Business Media LLC}, author={Boettinger, William J. and Warren, James A.}, year={1996}, month=mar, pages={657–669} }

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