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Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 86, Issue 5, 2012, Pages

Quantitative phase-field modeling of nonisothermal solidification in dilute multicomponent alloys with arbitrary diffusivities

(1) Ohno, Munekazu a

a HOKKAIDO UNIVERSITY (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ANTI-TRAPPING CURRENTS; DENDRITIC GROWTH; FREE-BOUNDARY PROBLEMS; INTERFACE THICKNESS; MICROSTRUCTURAL PATTERNS; MULTI-COMPONENT ALLOY; NONISOTHERMAL; NONISOTHERMAL SOLIDIFICATIONS; PHASE-FIELD MODELING; PHASE-FIELD MODELS; THIN-INTERFACE LIMIT;

ASYMPTOTIC ANALYSIS;

SOLIDIFICATION;

EID: 84870466564 PISSN: 15393755 EISSN: 15502376 Source Type: Journal
DOI: 10.1103/PhysRevE.86.051603 Document Type: Article

Times cited : (70)

References (52)

1
- 0036040289
- Phase-field simulation of solidification
- DOI 10.1146/annurev.matsci.32.101901.155803
- W. J. Boettinger, J. A. Warren, C. Beckermann, and A. Karma, Annu. Rev. Mater. Res. ARMRCU 1531-7331 10.1146/annurev.matsci.32.101901.155803 32, 163 (2002). (Pubitemid 34992569)
- (2002) Annual Review of Materials Science , vol.32 , pp. 163-194
- Boettinger, W.J.¹ Warren, J.A.² Beckermann, C.³ Karma, A.⁴

2
- 7244227680
- 0953-8984 10.1088/0953-8984/16/41/R01
- L. Gránásy, T. Pusztai, and J. A. Warren, J. Phys.: Condens. Matter 0953-8984 10.1088/0953-8984/16/41/R01 16, R1205 (2004).
- (2004) J. Phys.: Condens. Matter , vol.16 , pp. 1205
- Gránásy, L.¹ Pusztai, T.² Warren, J.A.³

3
- 42549098645
- Advances of and by phase-field modelling in condensed-matter physics
- DOI 10.1080/00018730701822522, PII 792358944
- H. Emmerich, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730701822522 57, 1 (2008). (Pubitemid 351584583)
- (2008) Advances in Physics , vol.57 , Issue.1 , pp. 1-87
- Emmerich, H.¹

4
- 70350640682
- 0965-0393 10.1088/0965-0393/17/7/073001
- I. Steinbach, Model. Simul. Mater. Sci. Eng. 0965-0393 10.1088/0965-0393/17/7/073001 17, 073001 (2009).
- (2009) Model. Simul. Mater. Sci. Eng. , vol.17 , pp. 073001
- Steinbach, I.¹

5
- 33646973938
- PLRAAN 1050-2947 10.1103/PhysRevA.39.5887
- G. Caginalp, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.39.5887 39, 5887 (1989).
- (1989) Phys. Rev. A , vol.39 , pp. 5887
- Caginalp, G.¹

6
- 33749855208
- 1539-3755 10.1103/PhysRevE.48.2016
- G. B. McFadden, A. A. Wheeler, R. J. Braun, S. R. Coriell, and R. F. Sekerka, Phys. Rev. E 1539-3755 10.1103/PhysRevE.48.2016 48, 2016 (1993).
- (1993) Phys. Rev. e , vol.48 , pp. 2016
- McFadden, G.B.¹ Wheeler, A.A.² Braun, R.J.³ Coriell, S.R.⁴ Sekerka, R.F.⁵

7
- 0141507002
- 0927-796X 10.1016/S0927-796X(03)00036-6
- J. J. Hoyt, M. Asta, and A. Karma, Mater. Sci. Eng., R 0927-796X 10.1016/S0927-796X(03)00036-6 41, 121 (2003).
- (2003) Mater. Sci. Eng., R , vol.41 , pp. 121
- Hoyt, J.J.¹ Asta, M.² Karma, A.³

8
- 4243643071
- PLEEE8 1539-3755 10.1103/PhysRevE.53.R3017
- A. Karma and W.-J. Rappel, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.53.R3017 53, R3017 (1996).
- (1996) Phys. Rev. e , vol.53 , pp. 3017
- Karma, A.¹ Rappel, W.-J.²

9
- 4243457001
- 1539-3755 10.1103/PhysRevE.57.4323
- A. Karma and W.-J. Rappel, Phys. Rev. E 1539-3755 10.1103/PhysRevE.57. 4323 57, 4323 (1998).
- (1998) Phys. Rev. e , vol.57 , pp. 4323
- Karma, A.¹ Rappel, W.-J.²

10
- 0033324150
- SMJMAP 0036-1399 10.1137/S0036139997330027
- R. F. Almgren, SIAM J Appl. Math. SMJMAP 0036-1399 10.1137/ S0036139997330027 59, 2086 (1999).
- (1999) SIAM J Appl. Math. , vol.59 , pp. 2086
- Almgren, R.F.¹

11
- 39249084129
- 0031-9007 10.1103/PhysRevLett.87.115701
- A. Karma, Phy. Rev. Lett. 0031-9007 10.1103/PhysRevLett.87.115701 87, 115701 (2001).
- (2001) Phy. Rev. Lett. , vol.87 , pp. 115701
- Karma, A.¹

12
- 37649029615
- Quantitative phase-field model of alloy solidification
- DOI 10.1103/PhysRevE.70.061604, 061604
- B. Echebarria, R. Folch, A. Karma, and M. Plapp, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.70.061604 70, 061604 (2004). (Pubitemid 40219639)
- (2004) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics , vol.70 , Issue.6 , pp. 0616041-06160422
- Echebarria, B.¹ Folch, R.² Karma, A.³ Plapp, M.⁴

13
- 27244454293
- Quantitative phase-field modeling of two-phase growth
- DOI 10.1103/PhysRevE.72.011602, 011602
- R. Folch and M. Plapp, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.72. 011602 72, 011602 (2005). (Pubitemid 41521209)
- (2005) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics , vol.72 , Issue.1 , pp. 1-27
- Folch, R.¹ Plapp, M.²

14
- 42749106989
- PLEEE8 1539-3755 10.1103/PhysRevE.69.051607
- J. C. Ramirez, C. Beckermann, A. Karma, and H.-J. Diepers, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.69.051607 69, 051607 (2004).
- (2004) Phys. Rev. e , vol.69 , pp. 051607
- Ramirez, J.C.¹ Beckermann, C.² Karma, A.³ Diepers, H.-J.⁴

15
- 34250849607
- A phase-field model with antitrapping current for multicomponent alloys with arbitrary thermodynamic properties
- DOI 10.1016/j.actamat.2007.04.004, PII S1359645407002467
- S. G. Kim, Acta Mater. ACMAFD 1359-6454 10.1016/j.actamat.2007.04.004 55, 4391 (2007). (Pubitemid 46977810)
- (2007) Acta Materialia , vol.55 , Issue.13 , pp. 4391-4399
- Kim, S.G.¹

16
- 42749105019
- Crossover scaling of wavelength selection in directional solidification of binary alloys
- DOI 10.1103/PhysRevLett.93.246101, 246101
- M. Greenwood, M. Haataja, and N. Provatas, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.246101 93, 246101 (2004). (Pubitemid 40086692)
- (2004) Physical Review Letters , vol.93 , Issue.24 , pp. 2461011-2461014
- Greenwood, M.¹ Haataja, M.² Provatas, N.³

17
- 42749104456
- PLEEE8 1539-3755 10.1103/PhysRevE.69.031601
- C. W. Lan and C. J. Shih, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.69.031601 69, 031601 (2004).
- (2004) Phys. Rev. e , vol.69 , pp. 031601
- Lan, C.W.¹ Shih, C.J.²

18
- 13844276108
- Examination of binary alloy free dendritic growth theories with a phase-field model
- DOI 10.1016/j.actamat.2004.12.021, PII S135964540400758X
- J. C. Ramirez and C. Beckermann, Acta Mater. ACMAFD 1359-6454 10.1016/j.actamat.2004.12.021 53, 1721 (2005). (Pubitemid 40245692)
- (2005) Acta Materialia , vol.53 , Issue.6 , pp. 1721-1736
- Ramirez, J.C.¹ Beckermann, C.²

19
- 33645996715
- ACMAFD 1359-6454 10.1016/j.actamat.2005.12.025
- A. Badillo and C. Beckermann, Acta Mater. ACMAFD 1359-6454 10.1016/j.actamat.2005.12.025 54, 2015 (2006).
- (2006) Acta Mater. , vol.54 , pp. 2015
- Badillo, A.¹ Beckermann, C.²

20
- 33846068647
- Investigating heterogeneous nucleation in peritectic materials via the phase-field method
- DOI 10.1088/0953-8984/18/49/006, PII S0953898406288982, 006
- H. Emmerich and R. Siquieri, J. Phys.: Condens. Matter 0953-8984 10.1088/0953-8984/18/49/006 18, 11121 (2006). (Pubitemid 46069790)
- (2006) Journal of Physics Condensed Matter , vol.18 , Issue.49 , pp. 11121-11129
- Emmerich, H.¹ Siquieri, R.²

21
- 34047256215
- Three-dimensional phase-field simulations of directional solidification
- DOI 10.1016/j.jcrysgro.2006.12.064, PII S0022024807000772
- M. Plapp, J. Cryst. Growth JCRGAE 0022-0248 10.1016/j.jcrysgro.2006.12. 064 303, 49 (2007). (Pubitemid 46550501)
- (2007) Journal of Crystal Growth , vol.303 , Issue.1 SPEC. ISS. , pp. 49-57
- Plapp, M.¹

22
- 35448994240
- Phase-field investigation of the nucleation kinetics and of the influence of convection on growth in peritectic systems
- DOI 10.1080/09500830701397586, PII 783049206
- R. Siquieri and H. Emmerich, Philos. Mag. Lett. PMLEEG 0950-0839 10.1080/09500830701397586 87, 829 (2007). (Pubitemid 47621502)
- (2007) Philosophical Magazine Letters , vol.87 , Issue.11 , pp. 829-837
- Siquieri, R.¹ Emmerich, H.²

23
- 40149087832
- ACMAFD 1359-6454 10.1016/j.actamat.2007.11.037
- A. Parisi and M. Plapp, Acta Mater. ACMAFD 1359-6454 10.1016/j.actamat. 2007.11.037 56, 1348 (2008).
- (2008) Acta Mater. , vol.56 , pp. 1348
- Parisi, A.¹ Plapp, M.²

24
- 51449098186
- ACMAFD 1359-6454 10.1016/j.actamat.2008.05.029
- J. Rosam, P. K. Jimack, and A. M. Mullis, Acta Mater. ACMAFD 1359-6454 10.1016/j.actamat.2008.05.029 56, 4559 (2008).
- (2008) Acta Mater. , vol.56 , pp. 4559
- Rosam, J.¹ Jimack, P.K.² Mullis, A.M.³

25
- 53049093020
- ACMAFD 1359-6454 10.1016/j.actamat.2008.06.009
- I. Steinbach, Acta Mater. ACMAFD 1359-6454 10.1016/j.actamat.2008.06.009 56, 4965 (2008).
- (2008) Acta Mater. , vol.56 , pp. 4965
- Steinbach, I.¹

26
- 70350560535
- ACMAFD 1359-6454 10.1016/j.actamat.2009.08.043
- P. K. Galenko, S. Reutzel, D. M. Herlach, S. G. Fries, I. Steinbach, and M. Apel, Acta Mater. ACMAFD 1359-6454 10.1016/j.actamat.2009.08.043 57, 6166 (2009).
- (2009) Acta Mater. , vol.57 , pp. 6166
- Galenko, P.K.¹ Reutzel, S.² Herlach, D.M.³ Fries, S.G.⁴ Steinbach, I.⁵ Apel, M.⁶

27
- 64049114129
- PLEEE8 1539-3755 10.1103/PhysRevE.79.030601
- J. Rosam, P. K. Jimack, and A. M. Mullis, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.79.030601 79, 030601 (R) (2009).
- (2009) Phys. Rev. e , vol.79 , pp. 030601
- Rosam, J.¹ Jimack, P.K.² Mullis, A.M.³

28
- 73949102026
- 0915-1559 10.2355/isijinternational.49.1536
- K. Oguchi and T. Suzuki, ISIJ Inter. 0915-1559 10.2355/isijinternational. 49.1536 49, 1536 (2009).
- (2009) ISIJ Inter. , vol.49 , pp. 1536
- Oguchi, K.¹ Suzuki, T.²

29
- 74549163699
- ACMAFD 1359-6454 10.1016/j.actamat.2009.11.017
- G. Boussinot, E. A. Brener, and D. E. Temkin, Acta Mater. ACMAFD 1359-6454 10.1016/j.actamat.2009.11.017 58, 1750 (2010).
- (2010) Acta Mater. , vol.58 , pp. 1750
- Boussinot, G.¹ Brener, E.A.² Temkin, D.E.³

30
- 77749335605
- PLEEE8 1539-3755 10.1103/PhysRevE.81.021608
- B. Echebarria, A. Karma, and S. Gurevich, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.021608 81, 021608 (2010).
- (2010) Phys. Rev. e , vol.81 , pp. 021608
- Echebarria, B.¹ Karma, A.² Gurevich, S.³

31
- 75349091419
- PLEEE8 1539-3755 10.1103/PhysRevE.81.011603
- S. Gurevich, A. Karma, M. Plapp, and R. Trivedi, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.011603 81, 011603 (2010).
- (2010) Phys. Rev. e , vol.81 , pp. 011603
- Gurevich, S.¹ Karma, A.² Plapp, M.³ Trivedi, R.⁴

32
- 79961043108
- 1539-3755 10.1103/PhysRevE.83.061601
- A. M. Mullis, Phys. Rev. E 1539-3755 10.1103/PhysRevE.83.061601 83, 061601 (2011).
- (2011) Phys. Rev. e , vol.83 , pp. 061601
- Mullis, A.M.¹

33
- 80054986200
- PLEEE8 1539-3755 10.1103/PhysRevE.84.041604
- Z. Wang, J. Wang, J. Li, G. Yang, and Y. Zhou, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.84.041604 84, 041604 (2011).
- (2011) Phys. Rev. e , vol.84 , pp. 041604
- Wang, Z.¹ Wang, J.² Li, J.³ Yang, G.⁴ Zhou, Y.⁵

34
- 84862805599
- ACMAFD 1359-6454 10.1016/j.actamat.2011.11.037
- J. Li, Z. Wang, Y. Wang, and J. Wang, Acta Mater. ACMAFD 1359-6454 10.1016/j.actamat.2011.11.037 60, 1478 (2012).
- (2012) Acta Mater. , vol.60 , pp. 1478
- Li, J.¹ Wang, Z.² Wang, Y.³ Wang, J.⁴

35
- 33749414426
- Second order sharp-interface and thin-interface asymptotic analyses and error minimization for phase-field descriptions of two-sided dilute binary alloy solidification
- DOI 10.1016/j.jcrysgro.2006.03.001, PII S0022024806002041
- A. Gopinath, R. C. Armstrong, and R. A. Brown, J. Cryst. Growth JCRGAE 0022-0248 10.1016/j.jcrysgro.2006.03.001 291, 272 (2006). (Pubitemid 44500648)
- (2006) Journal of Crystal Growth , vol.291 , Issue.1 , pp. 272-289
- Gopinath, A.¹ Armstrong, R.C.² Brown, R.A.³

36
- 63249092680
- 1539-3755 10.1103/PhysRevE.79.031603
- M. Ohno and K. Matsuura, Phys. Rev. E 1539-3755 10.1103/PhysRevE.79. 031603 79, 031603 (2009).
- (2009) Phys. Rev. e , vol.79 , pp. 031603
- Ohno, M.¹ Matsuura, K.²

37
- 78249239780
- PHMAA4 1478-6435 10.1080/14786435.2010.486757
- M. Plapp, Philos. Mag. PHMAA4 1478-6435 10.1080/14786435.2010.486757 91, 25 (2011).
- (2011) Philos. Mag. , vol.91 , pp. 25
- Plapp, M.¹

38
- 0342583796
- RMPHAT 0034-6861 10.1103/RevModPhys.52.1
- J. S. Langer, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.52.1 52, 1 (1980).
- (1980) Rev. Mod. Phys. , vol.52 , pp. 1
- Langer, J.S.¹

39
- 0035922162
- A phase field model for isothermal solidification of multicomponent alloys
- DOI 10.1016/S1359-6454(01)00184-7, PII S1359645401001847
- P.-R. Cha, D.-H. Yeon, and J.-K. Yoon, Acta Mater. ACMAFD 1359-6454 10.1016/S1359-6454(01)00184-7 49, 3295 (2001). (Pubitemid 32768121)
- (2001) Acta Materialia , vol.49 , Issue.16 , pp. 3295-3307
- Cha, P.-R.¹ Yeon, D.-H.² Yoon, J.-K.³

40
- 0037350675
- SCMAF7 1359-6462 10.1016/S1359-6462(02)00557-2
- H. Kobayashi, M. Ode, S. G. Kim, and T. Suzuki, Scr. Mater. SCMAF7 1359-6462 10.1016/S1359-6462(02)00557-2 48, 689 (2003).
- (2003) Scr. Mater. , vol.48 , pp. 689
- Kobayashi, H.¹ Ode, M.² Kim, S.G.³ Suzuki, T.⁴

41
- 0242607838
- ACMAFD 1359-6454 10.1016/S1359-6454(03)00443-9
- R. S. Qin and E. R. Wallach, Acta Mater. ACMAFD 1359-6454 10.1016/S1359-6454(03)00443-9 51, 6199 (2003).
- (2003) Acta Mater. , vol.51 , pp. 6199
- Qin, R.S.¹ Wallach, E.R.²

42
- 33745325936
- Multiphase-field approach for multicomponent alloys with extrapolation scheme for numerical application
- DOI 10.1103/PhysRevE.73.066122
- J. Eiken, B. Böttger, and I. Steinbach, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.73.066122 73, 066122 (2006). (Pubitemid 43938079)
- (2006) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics , vol.73 , Issue.6 , pp. 066122
- Eiken, J.¹ Bottger, B.² Steinbach, I.³

43
- 0001153558
- PLEEE8 1539-3755 10.1103/PhysRevE.60.7186
- S. G. Kim, W. T. Kim, and T. Suzuki, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.60.7186 60, 7186 (1999).
- (1999) Phys. Rev. e , vol.60 , pp. 7186
- Kim, S.G.¹ Kim, W.T.² Suzuki, T.³

44
- 0001832671
- 0167-2789 10.1016/S0167-2789(97)00226-1
- J. Tiaden, B. Nestler, H.-J. Diepers, and I. Steinbach, Physica D 0167-2789 10.1016/S0167-2789(97)00226-1 115, 73 (1998).
- (1998) Physica D , vol.115 , pp. 73
- Tiaden, J.¹ Nestler, B.² Diepers, H.-J.³ Steinbach, I.⁴

45
- 80053045884
- PLEEE8 1539-3755 10.1103/PhysRevE.84.031601
- M. Plapp, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.84.031601 84, 031601 (2011).
- (2011) Phys. Rev. e , vol.84 , pp. 031601
- Plapp, M.¹

46
- 84857592262
- PLEEE8 1539-3755 10.1103/PhysRevE.85.021602
- A. Choudhury and B. Nestler, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.85.021602 85, 021602 (2012).
- (2012) Phys. Rev. e , vol.85 , pp. 021602
- Choudhury, A.¹ Nestler, B.²

47
- 0039592600
- 0167-2789 10.1016/S0167-2789(00)00064-6
- G. B. McFadden, A. A. Wheeler, and D. M. Anderson, Physica D 0167-2789 10.1016/S0167-2789(00)00064-6 144, 154 (2000).
- (2000) Physica D , vol.144 , pp. 154
- McFadden, G.B.¹ Wheeler, A.A.² Anderson, D.M.³

48
- 80055018443
- PLEEE8 1539-3755 10.1103/PhysRevE.84.046707
- M. Nicoli, M. Plapp, and H. Henry, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.84.046707 84, 046707 (2011).
- (2011) Phys. Rev. e , vol.84 , pp. 046707
- Nicoli, M.¹ Plapp, M.² Henry, H.³

49
- 33746612480
- Orientation selection in dendritic evolution
- DOI 10.1038/nmat1693, PII NMAT1693
- T. Haxhimali, A. Karma, F. Gonzales, and M. Rappaz, Nat. Mater. 1476-1122 10.1038/nmat1693 5, 660 (2006). (Pubitemid 44157685)
- (2006) Nature Materials , vol.5 , Issue.8 , pp. 660-664
- Haxhimali, T.¹ Karma, A.² Gonzales, F.³ Rappaz, M.⁴

50
- 79952735807
- JCRGAE 0022-0248 10.1016/j.jcrysgro.2010.10.096
- A. Yamanaka, T. Aoki, S. Ogawa, and T. Takaki, J. Cryst. Growth JCRGAE 0022-0248 10.1016/j.jcrysgro.2010.10.096 318, 40 (2011).
- (2011) J. Cryst. Growth , vol.318 , pp. 40
- Yamanaka, A.¹ Aoki, T.² Ogawa, S.³ Takaki, T.⁴

51
- 0035842853
- JCTPAH 0021-9991 10.1006/jcph.2001.6933
- K. Glasner, J. Comput. Phys. JCTPAH 0021-9991 10.1006/jcph.2001.6933 174, 695 (2001).
- (2001) J. Comput. Phys. , vol.174 , pp. 695
- Glasner, K.¹

52
- 40949099629
- PRBMDO 1098-0121 10.1103/PhysRevB.77.064112
- C. Tong, M. Greenwood, and N. Provatas, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.064112 77, 064112 (2008).
- (2008) Phys. Rev. B , vol.77 , pp. 064112
- Tong, C.¹ Greenwood, M.² Provatas, N.³

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