A phase field concept for multiphase systems

Physica D: Nonlinear Phenomena

Volumn 94, Issue 3, 1996, Pages 135-147

  Steinbach, I ^a   Pezzolla, F ^a   Nestler, B ^a   Seesselberg M ^a   Prieler, R ^a   Schmitz, G J ^a   Rezende, J L L ^b  

^a ACCESS E V   (Germany)

^b RWTH AACHEN UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; EUTECTICS; GRAIN GROWTH; MATHEMATICAL MODELS; METALS; SOLIDIFICATION;

DUAL PHASE BOUNDARY; FREE ENERGY FUNCTIONAL; MULTIPHASE SYSTEMS; PERITECTIC; PHASE FIELD THEORY;

PHASE TRANSITIONS;

EID: 0030192616     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-2789(95)00298-7     Document Type: Article

References (13)

1. A.A. Wheeler, W.J. Boettinger and G.B. Mc Fadden, Phase-field model for isothermal phase transitions in binary alloys, Phys. Rev. A 45(10) (1992) 7424-7439.
2. G. Caginalp and E. Socolovsky, Phase field computations of single-needle crystals, crystal growth and motion by mean curvature, SIAM J. Sci. Comput. 15(1) (1994) 106-126.
3. R. Kobayashi, Modeling and numerical simulation of dendritic crystal growth, Physica D 63(3,4) (1993) 410-423.
4. A.A. Wheeler, B.T. Murray and R.J. Schaefer, Computation of dendrites using a phase field model, Physica D 66(1,2) (1993) 243-262.
5. I. Steinbach, F. Pezzolla and R. Prieler, Grain selection in faceted crystal growth using the phase field theory, in: Proc. Modelling of Casting, Welding and Advanced Solidification Processes VII (London) ed. M. Cross.
6. L.Q. Chen and A.G. Khachaturyan, Computer simulation of structural transformations during precipitation of an ordered intermetallic phase, Acta Metall. Mater. 39(11) (1991) 2533-2551.
7. L.Q. Chen, A novel computer simulation technique for modeling grain growth, Scripta Metallurgica et Materialia 32(1) (1995) 115-120.
8. D.W. Hoffman and J.W. Cahn, A vektor thermodynamics for anisotropic surfaces, Surf. Sci. 31 (1972) 368-388.
9. D.W. Oxtoby and A.D.J. Haymet, A molecular theory of the solid-liquid interface. II. Study of bcc crystal-melt interfaces, J. Chem. Phys. 76(12) (1982) 6262-6272.
10. L.D. Landau and E.M. Lifschitz, Lehrbuch der theoretischen Physik, Band 5: Statistische Physik Teil I (Akademie-Verlag, Berlin, 1979/1987).
11. A.P. Sutton and R.W. Balluffi, Interfaces in Crystalline Materials, Oxford Science Publications (Clarendon Press, Oxford, 1995) p. 382.
12. G.J. Schmitz, B. Nestler, H.J. Diepers, F. Pezzolla, R. Prieler, M. Seeßelberg and I. Steinbach, Numerical simulation of YBaCuO-growth phenomena using the phase field method, in: Proc. European conference on applied superconductivity, ed. H.C. Freyhardt (Edinburgh, July 1995), pp. 167-170.
13. 7-x. J. Mater. Res. 8(11) (1993) 2774.