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Phase Separation and Elastic Fields: Three Dimensional Simulations of a Phase Field Model

  • Daniel Orlikowski (a1), Celeste Sagui (a1), Andrds Somoza (a2) and Christopher Roland (a1)

The effects of long-range elastic fields on the phase separation process of three- dimensional binary alloy systems was investigated with large-scale Langevin simulations. The elastic effects incorporated in the model are the result of anisotropy and dilational misfits introduced via inhomogeneities in the elastic constants of the constituents. The domain morphology obtained is readily understandable in terms of selection criterion for the shape and/or orientation of the domains, and is based on the different shear moduli that are present in the system. Coarsening mechanisms were found to be a combination of the classical Ostwald ripening mechanism and the elastically-driven coalescence of domains. Other aspects of the coarsening process such as dynamic scaling of the structure function is presented.

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[1] Lifshitz, I.M. and Slyozov, V.V., J. Phys. Chem. Solids 19, 35 (1961).
[2] See, for example: , Landau and , Lifshitz, Theory of Elasticity, 3rd edition, Pergamon Press (New York 1986); A.G. Khatchaturyan, Theory of Structural Transformations in Solids (Wiley, New York, 1983).
[3] Ardell, A.J., Nicholson, R.B. and Eshelby, J.D., Acta Metall. 14, 1295 (1966);
Maheshwari, A. and Ardell, A.J., Phys. Rev. Lett. 70, 2305 (1993);
Meshkimpour, M. and Ardell, A.J., Mat. Sci. Eng. A 185, 153 (1994);
Wimmel, J. and Ardell, A.J., Mat. Sci. Eng. 183, 169 (1994);
Kamora, A.B., Ardell, A.J., and Wagner, C.N., Metall. and Mat. Trans. 27A, 2888 (1996);
Cho, J.H.- and Ardell, A.J., Acta Mater. 45, 1399 (1997).
[4] Miyasaki, T., Nakamuara, K. and Mori, H., J. Mater. Sci. 14, 1827 (1979);
Bendersky, L.A., Voorhees, P.W., Boettinger, W.J. and Johnson, W.C., Scripta Metall. 22, 1029 (1988);
Hein, W., Acta Metall. 37, 2145 (1989).
[5] Calderon, H. and Kostorz, G., in Neutron Scattering for Materials Science (edited by Shapiro, S.M., Moss, S.C. and Jorgensen, J.D.), Vol. 166, p. 210 Mat. Res. Soc. Symp. Proc. (1990).
[6] Maheshwari, A. and Ardell, A.J., Scripta Metall. Mater. 26, 347 (1992).
[7] Calderon, H.A., Kostorz, G., Qu, Y.Y., Dorantes, H.J., Cruz, J.J. and CabanasMoreno, J.G., Mater. Sci. Eng. A 238, 13 (1997).
Ges, A., Fornaro, O. and Palacio, H., J. Mater. Sci. 32, 3687 (1997).
[8] Cahn, J.W., Acta Metall. 9, 795 (1961); 10, 179 (1962).
[9] Onuki, A., J. Phys. Soc. Jpn. 58, 3065 (1989); 58, 3069 (1989);
Nishimori, H. and Onuki, A., Phys. Rev. B 42, 980 (1990);
Onuki, A. and Nishimori, H., J. Phys. Soc. Jpn. 60, 1 (1991);
Onuki, A. and Nishimori, H., Phys. Rev. B 43, 13649 (1991);
Nishimori, H. and Onuki, A., J. Phys. Soc. Jpn. 60, 1208 (1991).
[10] Sagui, C., Somoza, A. and Desai, R.C., Phys. Rev. E 50, 4865 (1994).
[11] Sagui, C., Orlikowski, D., Somoza, A. and Roland, C., Phys. Rev. E 58, R4092 (1998);
Orlikowski, D., Sagui, C., Somoza, A. and Roland, C., Phys. Rev. B 59, 8646 (1999).
[12] Fratzl, P. and Lebowitz, J.L., Acta Metall. 37, 3245 (1989);
Fratzl, P., Lebowitz, J.L., Penrose, O. and Amar, J., Phys. Rev. B 44, 4794 (1991).
[13] Yeung, C., Phys. Rev. Lett. 61, 1135 (1988);
Roland, C. and Grant, M., Phys. Rev. B 39, 11971 (1989).
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