Phase-field simulations of non-isothermal binary alloy solidification / Loginova I., Amberg G., Ågren J. // Acta Materialia. - 2001. - V. 49, l. 4. - P. 573-581.

ISSN:

13596454

Type:

Article

Abstract:

A phase-field method for two-dimensional simulations of binary alloy solidification is studied. Phase-field equations that involve both temperature and solute redistribution are formulated. The equations are solved using the finite element method with triangular elements on unstructured meshes, which are adapted to the solution. Dendritic growth into a supersaturated melt is simulated for two temperature regimes: (a) the temperature is prescribed on the boundary of the computational domain; and (b) the heat is extracted through the domain boundary at a constant rate. In the former regime the solute redistribution is compared with the one given by an isothermal model. In the latter case the influence of the size of the computational domain and of the heat extraction rate on dendritic structure is investigated. It is shown that at high cooling rates the supersaturation is replaced by thermal undercooling as the driving force for growth.

Author keywords:

Index keywords:

Computer simulation; Cooling; Diffusion in solids; Finite element method; Grain growth; Mathematical models; Molten materials; Solidification; Supersaturation; Dendritic growth; Phase field equations;

DOI:

10.1016/S1359-6454(00)00360-8

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-0035096456&doi=10.1016%2fS1359-6454%2800%2900360-8&partnerID=40&md5=bca23daaea6d4937ff02c225997ba864

Соавторы в МНС:

—

Другие поля

Поле	Значение
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-0035096456&doi=10.1016%2fS1359-6454%2800%2900360-8&partnerID=40&md5=bca23daaea6d4937ff02c225997ba864
Affiliations	Department of Mechanics, KTH, 100 44, Stockholm, Sweden; Dept. of Mat. Sci. and Engineering, KTH, 100 44, Stockholm, Sweden
References	Warren, J.A., Boettinger, W.J., (1995) Acta Metal., 43, p. 689; Amberg, G., (1997), http://www.mech.kth.se/~gustava/femLego/; Amberg, G., Tönhardt, R., Winkler, C., (1999) Math. Comput. Simulation, 49, p. 257; Boettinger, W.J., Warren, J.A., (1996) Metall. Mater. Trans., 27, p. 657; Caginalp, G., Jones, J., (1995) Ann. Phys., 237, p. 66; Tönhardt, R., Amberg, G., (1998) J. Crystal Growth, 194, p. 406; Wang, S.-L., Sekerka, R.F., Wheeler, A.A., Murray, B.T., Coriell, S.R., Braun, R.J., (1993) Physica D, 69, p. 189; Caginalp, G., Xie, W., (1993) Phys. Rev. a, 48, pp. 1897-1909; Warren, J.A., Murray, B.T., (1996) Modeling Simulation Mater. Sci. Engng, 4, p. 215; McCarthy, J.F., (1997) Acta Mater., 45, p. 4077; Warren, J.A., (1995) IEEE Computational Science and Engineering, 2, p. 38; Conti, M., (1997) Phys. Rev. e, 55, p. 765; Pavlik, S.G., Sekerka, R.F., (1999) Physica a, 268, p. 283; Karma, A., Rappel, W.J., (1997), cond-mat/990201; Ahmad, N.A., Wheeler, A.A., Boettinger, W.J., McFadden, G.B., (1998) Phys. Rev. e, 58, p. 3436; Boettinger, W.J., Warren, J.A., (1999) J. Crystal Growth, 200, p. 583
Correspondence Address	Loginova, I.; KTH, Stockholm, Sweden
Publisher	Elsevier Science Ltd, Exeter, United Kingdom
CODEN	00220
Language of Original Document	English
Abbreviated Source Title	Acta Mater
Source	Scopus