Simulation of solidification structures of binary alloys
-
A. Das
Abstract
A discussion of the multiparticle diffusion-limited aggregation model for the simulation of solidification structures from a binary alloy melt under isothermal conditions is presented. The model incorporates simultaneous diffusion of all atoms in the liquid, atom attachment kinetics at the solid/liquid interface, depending on the local number and nature of bonds formed with the solid, and a surface rearrangement process that mimics the capillary (Gibbs-Thomson) effect. The influence of the local surface energy minimisation on the evolution of dendritic and regular lamellar eutectic structures and on the growth rate of a solidified layer is discussed. The role of the next-nearest neighbour interaction on the energy anisotropy of the internal (solid/solid) and external (solid/liquid) interfaces is identified with respect to the development of dendritic, seaweed and regular lamellar eutectic structures. In the case that no chemical driving force exists for the incorporation of solute (impurity) atoms in the solid, a thermodynamic condition is formulated according to which solidification of such solute atoms can yet occur.
References
1 Kurz, W.; Trivedi, R.: Acta Metall. Mater. 38 (1990) 1.10.1016/0956-7151(90)90129-5Suche in Google Scholar
2 Boettinger, W.J.; Coriell, S.R.; Greer, A.L.; Karma, A.; Kurz, W.; Rappaz, M.; Trivedi, R.: Acta Mater. 48 (2000) 43.10.1016/S1359-6454(99)00287-6Suche in Google Scholar
3 Wulff, G.: Z. Kristallogr . Mineral 34 (1901) 449.10.1524/zkri.1901.34.1.449Suche in Google Scholar
4 Herring, C.: Phys. Rev. 82 (1951) 87; in: R. Gomer; C.S. Smith (ed.), Structure and Properties of Solid Surfaces, University of Chicago Press (1953) 5.10.1103/PhysRev.82.87Suche in Google Scholar
5 Saito, Y. in: T. Nishinaga; K. Nishioka; J. Harada; A. Sasaki; H. Takei (eds.), Advances in the Understanding of Crystal Growth Mechanisms, Elsevier Science, Amsterdam (1997) 47.Suche in Google Scholar
6 Kurz, W.; Fisher, D.J.: Fundamentals of Solidifications, Trans Tech Publications, Aedermannsdorf (1998).10.4028/www.scientific.net/RC.35Suche in Google Scholar
7 Langer, J.S.: Rev. Mod. Phys. 52 (1980) 1.10.1103/RevModPhys.52.1Suche in Google Scholar
8 Mullins, W.W.; Sekerka, R.F.: J. Appl. Phys. 35 (1967) 444.10.1063/1.1713333Suche in Google Scholar
9 Haemers, T.A.M.; Rickerby, D.G.; Mittemeijer, E.J.: Modelling Simul. Mater. Sci. Eng. 35 (1999) 233.10.1088/0965-0393/7/2/007Suche in Google Scholar
10 Mullins, W.W.; Sekerka, R.F.: J. Appl. Phys. 35 (1967) 444.10.1063/1.1713333Suche in Google Scholar
11 Langer, J.S.: Rev. Mod. Phys. 52 (1980) 1.10.1103/RevModPhys.52.1Suche in Google Scholar
12 Muller-Krumbhaar, H.; Langer, J.S.: Acta Metall. 29 (1981) 145.10.1016/0001-6160(81)90095-XSuche in Google Scholar
13 Sander, L.M.; Ramanlal, P.; Ben-Jacob, E.: Phys. Rev. A 32 (1985) 3160.10.1103/PhysRevA.32.3160Suche in Google Scholar
14 Kurz, W.; Fisher, D.J.: Acta Metall. 29 (1991) 11.10.1016/0001-6160(81)90082-1Suche in Google Scholar
15 Trivedi, R.; Kurz, W.: Acta Metall. Mater. 45 (1994) 15.10.1016/0956-7151(94)90044-2Suche in Google Scholar
16 Ihle, T.; Müller-Krumbhaar, H.: Phys. Rev. E 49 (1994) 2972.10.1103/PhysRevE.49.2972Suche in Google Scholar
17 Metropolis, N.; Rosenbluth, A.W.; Rosenbluth, M.N.; Teller, A.H.; Teller, E.: J. Chem. Phys. 21 (1953) 1087.10.1063/1.1699114Suche in Google Scholar
18 Chernov, A.A.; Lewis, J.: J. Phys. Chem. Solids 28 (1967) 2185.10.1016/0022-3697(67)90243-0Suche in Google Scholar
19 Müller-Krumbhaar, H, in: K. Binder (ed.), Monte Carlo Methods in Statistical Physics, Springer-Verlag, Berlin (1979) 295.Suche in Google Scholar
20 Witten, T.A.; Sander, L.M.: Phys. Rev. Lett. 47 (1981) 1400; Phys. Rev. B 27 (1983) 5686.10.1103/PhysRevLett.47.1400Suche in Google Scholar
21 Brener, E.; Müller-Krumbhaar, H.; Temkin, D.; Abel, T.: Physica A 249 (1998) 73.10.1016/S0378-4371(97)00433-0Suche in Google Scholar
22 Banavar, J.R.; Kohmoto, M.; Roberts, J.: Phys. Rev. A 33 (1986) 2065.10.1103/PhysRevA.33.2065Suche in Google Scholar
23 Vicsek, T.: Phys. Rev. Lett. 53 (1984) 2281; Phys. Rev. A 32 (1985) 3084.10.1103/PhysRevLett.53.2281Suche in Google Scholar
24 Xiao, R.F.; Alexander, J.I.D.; Rosenberger, F.: Phys. Rev. A 38 (1988) 2447; J. Crystal Growth 100 (1990) 313.10.1103/PhysRevA.38.2447Suche in Google Scholar
25 Voss, R.A.: J. Stat. Phys. 36 (1984) 861; Phys. Rev. B 30 (1984) 334.10.1007/BF01012945Suche in Google Scholar
26 Das, A.; Mittemeijer, E.J.: Metall. Mater. Trans. A 31 (2000) 2049.10.1007/s11661-000-0232-xSuche in Google Scholar
27 Das, A.; Mittemeijer, E.J.: Philos. Mag. A 81 (2001) 2725.10.1080/01418610108216666Suche in Google Scholar
28 Binder, K.: Monte Carlo Methods in Statistical Physics, Springer-Verlag, Berlin (1986) 3.10.1007/978-3-642-82803-4Suche in Google Scholar
29 Akamatsu, S.; Faivre, G.; Ihle, T.: Phys. Rev. E 51 (1995) 4751.10.1103/PhysRevE.51.4751Suche in Google Scholar
30 Brener, E.; Müller-Krumbhaar, H.; Temkin, D.: Phys. Rev. E 54 (1996) 2714.10.1103/PhysRevE.54.2714Suche in Google Scholar
31 Ben-Jacob, E.; Deutscher, G.; Garik, P.; Goldenfeld, N.; Lereah, Y.: Phys. Rev. Lett. 57 (1986) 1903.10.1103/PhysRevLett.57.1903Suche in Google Scholar
32 Jackson, K.A.; Hunt, J.D.: Trans. Metall. Soc. AIME 236 (1966) 1129.Suche in Google Scholar
33 Fisher, D.J.; Kurz, W.: Acta Metall. 28 (1980) 777.10.1016/0001-6160(80)90155-8Suche in Google Scholar
34 Trivedi, R.; Magnin, P.; Kurz, W.: Acta Metall. 35 (1987) 971.10.1016/0001-6160(87)90176-3Suche in Google Scholar
© 2002 Carl Hanser Verlag, München
Artikel in diesem Heft
- Frontmatter
- Editorial
- Editorial
- Max-Planck-Institut für Metallforschung
- Articles/Aufsätze
- Towards a micromechanical understanding of biological surface devices
- Solid state phase transformation kinetics: a modular transformation model
- Electronic structure investigations of Ni and Cr films on (100)SrTiO3 substrates using electron energy-loss spectroscopy
- Surface magnetization reversal of sputtered CrO2
- Magnetic imaging with full-field soft X-ray microscopy
- Dislocation dynamics in sub-micron confinement: recent progress in Cu thin film plasticity
- Fatigue behavior of polycrystalline thin copper films
- Grain growth in magnetron-sputtered nickel films
- Thin Pd films on SrTiO3 (001) substrates: ab initio local-density-functional theory
- Coupled grain boundary and surface diffusion in a polycrystalline thin film constrained by substrate
- Gallium segregation at grain boundaries in aluminium
- Current work at the Stuttgart UHV diffusion bonding facility
- Bonding between Cu and α-Al2O3
- Compressive deformation of niobium sandwich-bonded to alumina
- SiO2-coated carbon nanotubes: theory and experiment
- Simulation of solidification structures of binary alloys
- Gaseous nitriding of iron-chromium alloys
- Deposition of ceramic materials from aqueous solution induced by organic templates
- Notifications/Mitteilungen
- Personen
- Books
- Information
- DGM Further Training
Artikel in diesem Heft
- Frontmatter
- Editorial
- Editorial
- Max-Planck-Institut für Metallforschung
- Articles/Aufsätze
- Towards a micromechanical understanding of biological surface devices
- Solid state phase transformation kinetics: a modular transformation model
- Electronic structure investigations of Ni and Cr films on (100)SrTiO3 substrates using electron energy-loss spectroscopy
- Surface magnetization reversal of sputtered CrO2
- Magnetic imaging with full-field soft X-ray microscopy
- Dislocation dynamics in sub-micron confinement: recent progress in Cu thin film plasticity
- Fatigue behavior of polycrystalline thin copper films
- Grain growth in magnetron-sputtered nickel films
- Thin Pd films on SrTiO3 (001) substrates: ab initio local-density-functional theory
- Coupled grain boundary and surface diffusion in a polycrystalline thin film constrained by substrate
- Gallium segregation at grain boundaries in aluminium
- Current work at the Stuttgart UHV diffusion bonding facility
- Bonding between Cu and α-Al2O3
- Compressive deformation of niobium sandwich-bonded to alumina
- SiO2-coated carbon nanotubes: theory and experiment
- Simulation of solidification structures of binary alloys
- Gaseous nitriding of iron-chromium alloys
- Deposition of ceramic materials from aqueous solution induced by organic templates
- Notifications/Mitteilungen
- Personen
- Books
- Information
- DGM Further Training
