| References |
Rubinshtein, L.I., (1967) Stefan Problem, , Riga: Zvaingnze; Ivantsov, G.P., Diffusion Supercooling during the Solidification of a Binary Alloy (1951) Dokl. Akad. Nauk SSSR, 81 (2), pp. 179-182; Worster, M.G., Solidification of an Alloy from a Cooled Boundary (1986) J. Fluid Mech., 167, pp. 481-501; Buyevich, Y.A., Alexandrov, D.V., Mansurov, V.V., (2001) Macrokinetics of Crystallization, , New York: Begell House; Alexandrov, D.V., On the Theory of Solidification with a Quasiu-Equilibrium Two-Phase Zone (2000) Dokl. Ross. Akad. Nauk, 375 (2), pp. 172-176; Alexandrov, D.V., Solidification with a Quasiequilibrium Mushy Region: Exact Analytical Solution of Nonlinear Model (2001) J. Cryst. Growth, 222, pp. 816-821; Alexandrov, D.V., Solidification with a Quasiequilibrium Two-Phase Zone (2001) Acta Mater., 49, pp. 759-764; Alexandrov, D.V., Nonlinear Dynamics of Solidification of Three-Component Systems (2008) Dokl. Ross. Akad. Nauk, 422 (3), pp. 322-326; Alexandrov, D.V., Ivanov, A.A., Analytical Solution for a Problem of Directional Solidification in Ternary System (2009) Acta Physica Polonica A, 15 (4), pp. 786-790; Borisov, V.T., Vinogradov, V.V., Dukhin, A.I., On the Applicability of the Theory of a Quasiequilibrium Two-Phase Zone to Describing Ingot Solidification (1971) Izv. Akad. Nauk SSSR, Ser. Met., 6, pp. 104-109; Borisov, V.T., Vinogradov, V.V., Tyazhel'nikova, I.L., Quasiequilibrium Theory of the Two-Phase Zone and Its Application to the solidification of Alloys (1977) Izv. Vyssh. Uchebn. Zaved., Chern. Metall., 5, pp. 127-134; Hills, R.N., Loper, D.E., Roberts, P.H., A Thermodynamic Consistent Model of a Mushy Zone (1983) Q. J. Mech. Appl. Math., 36, pp. 505-539; Fowler, A.C., The Formation of Freckles in Binary Alloys (1985) IMA J. Appl. Maths., 35, pp. 159-174; Borisov, V.T., (1987) Theory of the Two-Phase Zone of a Metallic Ingot, , Moscow: Metallurgiya; Alexandrov, D.V., Solidification with a Quasiequilibrium Mushy Zone: Exact Analytical Solution (2000) Int. J. Fluid. Mech. Res., 27 (2-4), pp. 213-222; Aseev, D.L., Alexandrov, D.V., Unidirectional Solidification with a Mushy Layer. The Influence of Weak Convection (2006) Acta Mater., 54, pp. 2401-2406; Alexandrov, D.V., Aseev, D.L., One-Dimensional Solidification of an Alloy with a Mushy Zone: Thermodiffusion and Temperature-Dependent Diffusivity (2005) J. Fluid. Mech., 527, pp. 57-66; Alexandrov, D.V., Aseev, D.L., Directional Solidification with a Two-Phase Zone: Thermodiffusion and Temperature-Dependent Diffusivity (2006) Comp. Mater. Soc., 37, pp. 1-6; Aseev, D.L., Alexandrov, D.V., Directional Solidification of Binary Melts with a Non-equilibrium Mushy Layer (2006) Int. J. Heat Mass. Transfer, 49, pp. 4903-4909; Alexandrov, D.V., Malygin, A.P., Self-Similar Solidification of an Alloy from a Cooled Boundary (2006) Int. J. Heat Mass. Transfer, 49, pp. 763-769; Alexandrov, D.V., Ivanov, A.A., Malygin, A.P., Self-Similar Solidification with a Two-Phase zone from a Cooled Wall (2008) Vestn. Udmurt. Univ., 1, pp. 14-25; Alexandrov, D.V., Malygin, A.P., Analytical Description of the Crystallography of Sea Water in Ice Cracks and Their Effect on the Ocean-Atmosphere Heat Exchange (2006) Dokl. Ross. Akad. Nauk, 411 (3), pp. 390-394; Alexandrov, D.V., Malygin, A.P., Alexandrova, I.V., Solidification of Leads: Approximate Solutions of Non-Linear Problem (2006) Ann. Glaciol, 44, pp. 118-122; Alexandrov, D.V., Aseev, D.L., Nizovtseva, I.G., Nonlinear Dynamics of Directional Solidification with a Mushy Layer. Analytic Solutions of the Problem (2007) Int. J. Heat Mass Transfer, 50, pp. 3616-3623; Alexandrov, D.V., Nizovtseva, I.G., Malygin, A.P., Unidirectional Solidification of Binary Melts from a Cooled Boundary: Analytical Solutions of a Nonlinear Diffusion-Limited Problem (2008) J. Phys.: Condens. Matter, 20. , 114105-01-11410506; Alexandrov, D.V., Ivanov, A.O., The Stefan Problem of Solidification of Ternary Systems in the Presence of Moving Phase Transition Regions (2009) Zh. Eksp. Teor. Fiz., 135 (5), pp. 942-950. , [J. Exp. Theor. Phys. 135 (5) 922-930 (2009)]; Alexandrov, D.V., Ivanov, A.O., Analytical Solution for a Problem of Directional Solidification in a Ternary System (2009) Acta Phys. Pol., A, 115 (4), pp. 786-790; Jordan, A.S., The Liquidus Surfaces of Ternary Systems Involving Compound Semiconductors: II. Calculation of the Liquidus Isotherms and Component Partial Pressures in the Ga-As-Zn and Ga-P-Zn Systems (1971) Metall. Trans., 2 (7), pp. 1959-1963; Aitta, A., Huppert, H.E., Worster, M.G., Diffusion-Controlled Solidification of a Ternary Melt from a Cooled Boundary (2001) J. Fluid Mech., 432, pp. 201-217; Wang, H., Liu, F., Chen, Z., Analysis of Nonequilibrium Dendrite Growth in a Bulk Undercooled Alloy Melt: Model and Application (2007) Acta Mater., 55, pp. 497-506; Zhang, J.T., Rudtsch, S., Fahr, M., The Influence of Antimony on the Tin Point (2008) Int. J. Thermophys., 29, pp. 151-157; Batchelor, G.K., Transport Properties of Two-Phase Materials with Random Structure (1974) Ann. Rev. Fluid Mech., 6, pp. 227-255; Gross, G.W., Gutjahr, A., Caylor, K., Recent Experimental Work on Solute Redistribution at the Ice/Water Interface: Implications for Electrical Properties and Interface Properties (1987) J. Phys. Colloq., 48 (C1), pp. 527-533; Anderson, D.M., A Model for Diffusion-Controlled Solidification of ternary alloys in Mushy Layers (2003) J. Fluid Mech., 483, pp. 165-197; Mullins, W.W., Sekerka, R.F., Stability of a Planar Interface during Solidification of a Dilute Binary Alloy (1964) J. Appl. Phys., 35, pp. 444-451; Anderson, D.M., Worster, M.G., A New Oscillatory Instability in a Mushy Layer during the Solidification of Binary Alloys (1996) J. Fluid Mech., 307, pp. 245-267; Alexandrov, D.V., Ivanov, A.O., Dynamic Stability Analysis of the Solidification of Binary Melts in the Presence of a Mushy Region: Change over of Instability (2000) J. Cryst. Growth, 210, pp. 797-810; Alexandrov, D.V., A Nonlinear Instability Analysis of Crystallization Processes with a Two-Phase Zone (2004) J. Metast. Nanocryst. Mater., 20-21, pp. 468-475; Alexandrov, D.V., Ivanov, A.O., Komarovski, M.E., An Influence of a Fractal-like Mushy Region on Solidification Process (1999) Int. J. Fluid Mech. Res., 26 (2), pp. 224-231; Alexandrov, D.V., Ivanov, A.O., Scaling Properties of the Two-Phase Zone in Directional Solidification (2002) Dokl. Ross. Akad. Nauk, 385 (3), pp. 323-327 |