메뉴 건너뛰기




Volumn 207, Issue 1, 2005, Pages 221-239

Crystal growth of pure substances: Phase-field simulations in comparison with analytical and experimental results

Author keywords

Crystal growth; Growth morphologies; Numerical simulation; Phase field modelling

Indexed keywords

ANISOTROPY; CRYSTAL GROWTH; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; NUMERICAL MODELS; PHASE INTERFACES;

EID: 18444415179     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2005.01.018     Document Type: Article
Times cited : (72)

References (47)
  • 1
    • 3142707503 scopus 로고    scopus 로고
    • A diffuse interface model for alloys with multiple components and phases
    • H. Garcke B. Nestler B. Stinner A diffuse interface model for alloys with multiple components and phases SIAM J. Appl. Math. 64 3 2004 775-799
    • (2004) SIAM J. Appl. Math. , vol.64 , Issue.3 , pp. 775-799
    • Garcke, H.1    Nestler, B.2    Stinner, B.3
  • 2
    • 0036641463 scopus 로고    scopus 로고
    • Linking phase-field and atomistic simulations to model dendritic solidification in highly undercooled melts
    • J. Bragard A. Karma Y.H. Lee M. Plapp Linking phase-field and atomistic simulations to model dendritic solidification in highly undercooled melts Interface Sci. 10 2-3 2002 121-136
    • (2002) Interface Sci. , vol.10 , Issue.2-3 , pp. 121-136
    • Bragard, J.1    Karma, A.2    Lee, Y.H.3    Plapp, M.4
  • 3
    • 0025227777 scopus 로고
    • Effects of surface energy and kinetics on the growth of needle-like dendrites
    • E.A. Brener Effects of surface energy and kinetics on the growth of needle-like dendrites J. Crystal Growth 99 1990 165-170
    • (1990) J. Crystal Growth , vol.99 , pp. 165-170
    • Brener, E.A.1
  • 4
    • 3042714802 scopus 로고    scopus 로고
    • Free dendrite growth in undercooled melts: Experiements and modelling
    • M. Rappaz, C. Beckermann, R. Trivedi (Eds.) Proceedings of the TMS Annual Meeting, March 14-18, 2004, Charlotte, North Carolina. TMS, Warrendale, Pennsylvania
    • D.M. Herlach, O. Funke, G. Phanikumar, P. Galenko, Free dendrite growth in undercooled melts: Experiements and modelling. In: M. Rappaz, C. Beckermann, R. Trivedi (Eds.), Solidification Processes and Microstructures: A Syposium in Honor of Prof. Wilfried Kurz. Proceedings of the TMS Annual Meeting, March 14-18, 2004, Charlotte, North Carolina. TMS, Warrendale, Pennsylvania, 2004, pp. 277-288
    • (2004) Solidification Processes and Microstructures: A Syposium in Honor of Prof. Wilfried Kurz , pp. 277-288
    • Herlach, D.M.1    Funke, O.2    Phanikumar, G.3    Galenko, P.4
  • 6
    • 85190809535 scopus 로고    scopus 로고
    • (Ed.), Proceedings of the Symposium, Seattle, WA, USA, 4-9 August
    • R.S. Feigelson (Ed.), Progress in Crystal Growth. Proceedings of the Symposium, Seattle, WA, USA, 4-9 August 2002
    • (2002) Progress in Crystal Growth
    • Feigelson, R.S.1
  • 8
    • 1842535268 scopus 로고    scopus 로고
    • Notes on interface growth kinetics 50 years after, Burton cabrera and frank
    • A.A. Chernov Notes on interface growth kinetics 50 years after, Burton cabrera and frank J. Cryst. Growth 264 2004 499-518
    • (2004) J. Cryst. Growth , vol.264 , pp. 499-518
    • Chernov, A.A.1
  • 9
    • 0001092522 scopus 로고
    • Phase-field methods for the free boundary problems
    • A. Fusano, M. Primicerio (Eds.), second ed., Pitman, Boston
    • G.J. Fix, Phase-field methods for the free boundary problems. In: A. Fusano, M. Primicerio (Eds.), Free Boundary Problems: Theory and Application, second ed., Pitman, Boston, 1983, pp. 580-589
    • (1983) Free Boundary Problems: Theory and Application , pp. 580-589
    • Fix, G.J.1
  • 10
    • 0000405986 scopus 로고
    • Diffuse interface model of diffusion-limited crystal growth
    • J.B. Collins H. Levine Diffuse interface model of diffusion-limited crystal growth Phys. Rev. B 31 1985 6119-6122
    • (1985) Phys. Rev. B , vol.31 , pp. 6119-6122
    • Collins, J.B.1    Levine, H.2
  • 11
    • 34250131162 scopus 로고
    • An analysis of a phase-field model of a free boundary
    • G. Caginalp An analysis of a phase-field model of a free boundary Arch. Rat. Mech. Anal. 92 1986 205-245
    • (1986) Arch. Rat. Mech. Anal. , vol.92 , pp. 205-245
    • Caginalp, G.1
  • 12
    • 0000262022 scopus 로고
    • Models of pattern formation in first-order phase transitions
    • G. Grinstein G. Mazenko (Eds.) World Scientific Philadelphia
    • J.S. Langer Models of pattern formation in first-order phase transitions In G. Grinstein G. Mazenko (Eds.) Directions in Condensed Matter Physics 1986 World Scientific Philadelphia 165-216
    • (1986) Directions in Condensed Matter Physics , pp. 165-216
    • Langer, J.S.1
  • 13
    • 45149136070 scopus 로고
    • Thermodynamically consistent models of phase-field type for the kinetics of phase transitions
    • O. Penrose P.C. Fife Thermodynamically consistent models of phase-field type for the kinetics of phase transitions Physica D 43 1990 44-62
    • (1990) Physica D , vol.43 , pp. 44-62
    • Penrose, O.1    Fife, P.C.2
  • 15
    • 0001512634 scopus 로고
    • Phase-field computation of single needle crystals, crystal growth, and motion by mean curvature
    • G. Caginalp E.A. Socolovsky Phase-field computation of single needle crystals, crystal growth, and motion by mean curvature SIAM J. Sci. Comput. 15 1994 106-126
    • (1994) SIAM J. Sci. Comput. , vol.15 , pp. 106-126
    • Caginalp, G.1    Socolovsky, E.A.2
  • 16
    • 34249817369 scopus 로고
    • Modelling and numeric simulations of dendritic crystal growth
    • R. Kobayashi Modelling and numeric simulations of dendritic crystal growth Physica D 63 1993 410-423
    • (1993) Physica D , vol.63 , pp. 410-423
    • Kobayashi, R.1
  • 17
    • 0003957675 scopus 로고    scopus 로고
    • Phase-field methods
    • K.H.J. Buschow, R.W. Cahn, M.C. Flemings, B. Ilschner, E.J. Kramer, S. Mahajan (Eds.), Elsevier, Oxford
    • A. Karma, Phase-field methods, in: K.H.J. Buschow, R.W. Cahn, M.C. Flemings, B. Ilschner, E.J. Kramer, S. Mahajan (Eds.), Encylclopedia of Materials: Science and Technology, vol. 7, Elsevier, Oxford, 2001, pp. 6873-6886
    • (2001) Encylclopedia of Materials: Science and Technology , vol.7 , pp. 6873-6886
    • Karma, A.1
  • 18
    • 4243457001 scopus 로고    scopus 로고
    • Quantitative phase-field modelling of dendritic growth in two and three dimensions
    • A. Karma W.-J. Rappel Quantitative phase-field modelling of dendritic growth in two and three dimensions Phys. Rev. E 57 1998 4323-4349
    • (1998) Phys. Rev. E , vol.57 , pp. 4323-4349
    • Karma, A.1    Rappel, W.-J.2
  • 19
    • 0001073230 scopus 로고    scopus 로고
    • Multiscale finite-difference-diffusion Monte-Carlo method for simulating dendritic solidification
    • M. Plapp A. Karma Multiscale finite-difference-diffusion Monte-Carlo method for simulating dendritic solidification J. Comput. Phys. 165 2000 592-619
    • (2000) J. Comput. Phys. , vol.165 , pp. 592-619
    • Plapp, M.1    Karma, A.2
  • 20
    • 0027905252 scopus 로고
    • Measurement of the enthalpy and specific heat of undercooled nickel and iron melts
    • M. Barth F. Joo B. Wei D.M. Herlach Measurement of the enthalpy and specific heat of undercooled nickel and iron melts J. Non-Crystalline Solids 156-158 1993 398-401
    • (1993) J. Non-Crystalline Solids , vol.156-158 , pp. 398-401
    • Barth, M.1    Joo, F.2    Wei, B.3    Herlach, D.M.4
  • 21
    • 18444396466 scopus 로고
    • Dendritisches Wachstum in unterkühlten Metallschmelzen
    • Ph.D. Thesis, Ruhr-Universität Bochum
    • K. Eckler, Dendritisches Wachstum in unterkühlten Metallschmelzen, Ph.D. Thesis, Ruhr-Universität Bochum, 1992
    • (1992)
    • Eckler, K.1
  • 22
    • 18444408566 scopus 로고    scopus 로고
    • Kornfeinung durch Fragmentierung von Dendriten
    • Ph.D. Thesis, Ruhr-Universität Bochum
    • M. Schwarz, Kornfeinung durch Fragmentierung von Dendriten, Ph.D. Thesis, Ruhr-Universität Bochum, 1998
    • (1998)
    • Schwarz, M.1
  • 23
    • 0033335794 scopus 로고    scopus 로고
    • Kinetic phase field parameters for Cu-Ni system derived from atomistic computations
    • J.J. Hoyt B. Sadigh M. Asta S.M. Foiles Kinetic phase field parameters for Cu-Ni system derived from atomistic computations Acta Mater. 47 1999 3181-3187
    • (1999) Acta Mater. , vol.47 , pp. 3181-3187
    • Hoyt, J.J.1    Sadigh, B.2    Asta, M.3    Foiles, S.M.4
  • 24
    • 0035844532 scopus 로고    scopus 로고
    • Method for computing the anisotropy of the solid-liquid interfacial free energy
    • J.J. Hoyt M. Asta A. Karma Method for computing the anisotropy of the solid-liquid interfacial free energy Phys. Rev. Lett. 86 2001 5530-5533
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 5530-5533
    • Hoyt, J.J.1    Asta, M.2    Karma, A.3
  • 25
    • 0141507002 scopus 로고    scopus 로고
    • Atomistic and continuum modelling of dendritic solidification
    • J.J. Hoyt M. Asta A. Karma Atomistic and continuum modelling of dendritic solidification Mater. Sci. Eng. R 41 6 2003 121-153
    • (2003) Mater. Sci. Eng. R. , vol.41 , Issue.6 , pp. 121-153
    • Hoyt, J.J.1    Asta, M.2    Karma, A.3
  • 26
    • 0020303996 scopus 로고
    • Relative roles of heat transport and interface rearrangement rates in the rapid growth of crystals in undercooled melts
    • S.R. Coriell D. Turnbull Relative roles of heat transport and interface rearrangement rates in the rapid growth of crystals in undercooled melts Acta Metall. 30 1982 2135-2139
    • (1982) Acta Metall. , vol.30 , pp. 2135-2139
    • Coriell, S.R.1    Turnbull, D.2
  • 28
    • 0001069574 scopus 로고    scopus 로고
    • Local nonequilibrium effect on rapid dendritic growth in a binary alloy melt
    • P.K. Galenko D.A. Danilov Local nonequilibrium effect on rapid dendritic growth in a binary alloy melt Phys. Lett. A 235 1997 271-281
    • (1997) Phys. Lett. A , vol.235 , pp. 271-281
    • Galenko, P.K.1    Danilov, D.A.2
  • 29
    • 0033098898 scopus 로고    scopus 로고
    • Model for free dendritic alloy growth under interfacial and bulk phase nonequilibrium conditions
    • P.K. Galenko D.A. Danilov Model for free dendritic alloy growth under interfacial and bulk phase nonequilibrium conditions J. Cryst. Growth 197 1999 992-1002
    • (1999) J. Cryst. Growth , vol.197 , pp. 992-1002
    • Galenko, P.K.1    Danilov, D.A.2
  • 31
    • 85190766345 scopus 로고    scopus 로고
    • private communication
    • M. Plapp, private communication
    • Plapp, M.1
  • 33
    • 0000945296 scopus 로고    scopus 로고
    • Adaptive mesh refinement computation of solidification microstructures using dynamic data structures
    • N. Provatas N. Goldenfeld J. Dantzig Adaptive mesh refinement computation of solidification microstructures using dynamic data structures J. Comput. Phys. 148 1999 265-290
    • (1999) J. Comput. Phys. , vol.148 , pp. 265-290
    • Provatas, N.1    Goldenfeld, N.2    Dantzig, J.3
  • 34
    • 0009618131 scopus 로고    scopus 로고
    • Concepts for object-oriented finite element software - The deal II library
    • Preprint 99-43 (SFB 359), IWR Heidelberg (October)
    • W. Bangerth, G. Kanschat, Concepts for object-oriented finite element software - the deal II library, Preprint 99-43 (SFB 359), IWR Heidelberg (October 1999)
    • (1999)
    • Bangerth, W.1    Kanschat, G.2
  • 35
    • 0002566103 scopus 로고
    • Pattern selection in two-dimensional dendritic growth
    • E. Brener V.I. Melnikov Pattern selection in two-dimensional dendritic growth Adv. Phys. 40 1991 53-97
    • (1991) Adv. Phys. , vol.40 , pp. 53-97
    • Brener, E.1    Melnikov, V.I.2
  • 36
    • 0011789314 scopus 로고
    • Theory of pattern selection in three-dimensional nonaxisymmetric dendritic growth
    • M. Ben Amar E. Brener Theory of pattern selection in three-dimensional nonaxisymmetric dendritic growth Phys. Rev. Lett. 71 1993 589-592
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 589-592
    • Ben Amar, M.1    Brener, E.2
  • 37
    • 33847210024 scopus 로고    scopus 로고
    • Phase-field modelling of dendritic solidification in undercooled droplets
    • P. Vincenzini A. Lami (Eds.) Proceedings of 3rd International Conference, Acireale, Italy, 30 May-4 June, 2004 Techna Group Publishers Faenza, Italy
    • P. Galenko D. Herlach G. Phanikumar O. Funke Phase-field modelling of dendritic solidification in undercooled droplets in: P. Vincenzini A. Lami (Eds.) Computational Modelling and Simulation of Materials. Proceedings of 3rd International Conference, Acireale, Italy, 30 May-4 June, 2004 2004 Techna Group Publishers Faenza, Italy 565-572
    • (2004) Computational Modelling and Simulation of Materials , pp. 565-572
    • Galenko, P.1    Herlach, D.2    Phanikumar, G.3    Funke, O.4
  • 38
    • 0042586387 scopus 로고
    • Solvability conditions for dendritic growth in the boundary-layer model with capillary anisotropy
    • J.S. Langer D.C. Hong Solvability conditions for dendritic growth in the boundary-layer model with capillary anisotropy Phys. Rev. A 34 1986 1462-1471
    • (1986) Phys. Rev. A , vol.34 , pp. 1462-1471
    • Langer, J.S.1    Hong, D.C.2
  • 39
    • 25444475428 scopus 로고
    • Impurity effect on dendritic growth
    • M. Ben Amar P. Pelce Impurity effect on dendritic growth Phys. Rev. A 39 1989 4263-4269
    • (1989) Phys. Rev. A , vol.39 , pp. 4263-4269
    • Ben Amar, M.1    Pelce, P.2
  • 40
    • 0001508440 scopus 로고
    • Instability of needle crystals in anisotropic dendritic growth
    • F. Liu N. Goldenfeld Instability of needle crystals in anisotropic dendritic growth Phys. Rev. A 42 1990 5052-5055
    • (1990) Phys. Rev. A , vol.42 , pp. 5052-5055
    • Liu, F.1    Goldenfeld, N.2
  • 41
    • 0000799880 scopus 로고    scopus 로고
    • Three-dimensional growth morphologies in diffusion-controlled channel growth
    • T. Abel E. Brener H. Müller-Krumbhaar Three-dimensional growth morphologies in diffusion-controlled channel growth Phys. Rev. E 55 1996 7789-7792
    • (1996) Phys. Rev. E , vol.55 , pp. 7789-7792
    • Abel, T.1    Brener, E.2    Müller-Krumbhaar, H.3
  • 42
    • 0000465774 scopus 로고
    • Development of side branching in dendritic crystal growth
    • A. Dougherty P.D. Kaplan J.P. Gollub Development of side branching in dendritic crystal growth Phys. Rev. Lett. 58 1987 1652-1655
    • (1987) Phys. Rev. Lett. , vol.58 , pp. 1652-1655
    • Dougherty, A.1    Kaplan, P.D.2    Gollub, J.P.3
  • 43
    • 0001342033 scopus 로고
    • Dendritic sidebranching in the three-dimensional symmetric model in the presence of noise
    • J.S. Langer Dendritic sidebranching in the three-dimensional symmetric model in the presence of noise Phys. Rev. A 36 1987 3350-3358
    • (1987) Phys. Rev. A , vol.36 , pp. 3350-3358
    • Langer, J.S.1
  • 44
    • 0001541196 scopus 로고
    • Noise-induced sidebranching in the three-dimensional nonaxisymmetric dendritic growth
    • E. Brener D. Temkin Noise-induced sidebranching in the three-dimensional nonaxisymmetric dendritic growth Phys. Rev. E 51 1995 351-359
    • (1995) Phys. Rev. E , vol.51 , pp. 351-359
    • Brener, E.1    Temkin, D.2
  • 45
    • 0000071377 scopus 로고
    • Shape of the tip and the formation of sidebranches of xenon dendrites
    • U. Bisang J.H. Bilgram Shape of the tip and the formation of sidebranches of xenon dendrites Phys. Rev. Lett. 75 1995 3898-3901
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 3898-3901
    • Bisang, U.1    Bilgram, J.H.2
  • 46
    • 0344339104 scopus 로고    scopus 로고
    • Forces due to fluctuations in the anisotropic phase-field model of solidification
    • S.G. Pavlik R.F. Sekerka Forces due to fluctuations in the anisotropic phase-field model of solidification Physica A 286 1999 283-290
    • (1999) Physica A , vol.286 , pp. 283-290
    • Pavlik, S.G.1    Sekerka, R.F.2
  • 47
    • 0000752997 scopus 로고    scopus 로고
    • Phase-field model of dendritic sidebranching with thermal noise
    • A. Karma W.-J. Rappel Phase-field model of dendritic sidebranching with thermal noise Phys. Rev. E 60 1999 3614-3625
    • (1999) Phys. Rev. E , vol.60 , pp. 3614-3625
    • Karma, A.1    Rappel, W.-J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.