Principles of Microstructural Design in Two-Phase Systems

Article Preview

Abstract:

When a polycrystal is in chemical equilibrium, the microstructure evolves as a result of grain growth under the capillary driving force arising from the interface curvature. As the growth rate of an individual grain is the product of the interface mobility and the driving force, the growth of the grain can be controlled by changing these two parameters. According to crystal growth theories, the growth of a crystal with a rough interface is governed by diffusion and its interface mobility is constant. In-contrast, the growth of a crystal with faceted interfaces is governed by the interface reaction and diffusion for driving forces below and above a critical value, respectively. As the growth rate is nonlinear for the regime of interface reaction control, the grain growth is nonstationary with annealing time. Calculations reveal that the types of nonstationary growth behavior including pseudo-normal, abnormal, and stationary are governed by the relative value of the maximum driving force, gmax, to the critical driving force for appreciable growth, gc. Recent experimental observations showing the effects of critical processing parameters on microstructural development also support the theoretical prediction. The principles of microstructural design are deduced in terms of the coupling effects of gmax and gc.

You might also be interested in these eBooks

Info:

Periodical:

Materials Science Forum (Volumes 558-559)

Pages:

827-834

Citation:

Online since:

October 2007

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2007 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] I.M. Lifshitz and V.V. Slyozov: J. Phys. Chem. Solids., Vol. 19 (1961), p.35.

Google Scholar

[2] C. Wagner: Z. Elektrochem., Vol. 65 (1961), p.581.

Google Scholar

[3] A.J. Ardell: Acta Metall., Vol. 20 (1972), p.61.

Google Scholar

[4] A.D. Brailsford and P. Wynblatt: Acta Metall., Vol. 27 (1979), p.489.

Google Scholar

[5] S.P. Marsh and M.E. Glicksman: Acta Mater., Vol. 44 (1996), p.3761.

Google Scholar

[6] R. M. German and E.A. Olevsky: Metall. Mater. Trans. A, Vol. 29 (1998), p.3057.

Google Scholar

[7] V.A. Snyder, J. Alkemper and P.W. Voorhees: Acta Mater., Vol. 48 (2000), p.2689.

Google Scholar

[8] T. -K. Kang and D. N. Yoon: Metall. Trans. A, Vol. 9A (1978), p.433.

Google Scholar

[9] D. D. Lee, S. -J. L. Kang and D. N. Yoon: J. Am. Ceram. Soc., Vol. 71 (1988) p.803.

Google Scholar

[10] S. -J. L. Kang and S.M. Han: MRS Bull, Vol. 20 (1995) p.33.

Google Scholar

[11] Y.J. Park, N.M. Hwang and D.Y. Yoon: Metall. Mater. Trans. A, Vol. 27 (1996) p.2809.

Google Scholar

[12] N.M. Seabauch, I.H. Kersht and G.L. Messing: J. Am. Ceram. Soc., Vol. 80 (1997), p.1181.

Google Scholar

[13] S. -K. Kwon, S. -H. Hong, D. -Y. Kim, N. M. Hwang: J. Am. Cram. Soc., Vol. 83 (2000), p.1247.

Google Scholar

[14] H. Moon, Kim B-K and Kang S-JL: Acta Mater., Vol. 49 (2001), p.1293.

Google Scholar

[15] M. Sommer, W.D. Schubert, E. Zobetz and P. Warvichler: Int. J. Refract. Met. Hard. Mater. Vol. 20 (2002), p.41.

Google Scholar

[16] B. -K. Yoon, B. -A. Lee, S. -J. L. Kang: Acta Mater., Vol. 53 (2005), p.4677.

Google Scholar

[17] W.K. Burton, N. Cabrera and F. C. Frank: Phil. Trans. Roy. Soc. London, A, Vo. 243 (1951), p.299.

Google Scholar

[18] J. P. Hirth and G. M. Pound: Condensation and Evaporation, Pergamon Press, Oxford (1963), pp.77-148.

Google Scholar

[19] S. D. Peteves and R. Abbaschian: Metall. Trans. A., Vol. 22A (1991), p.1271.

Google Scholar

[20] S. -J. L. Kang: Sintering: Densification, Grain Growth and Microstructure (Elsevier, Oxford UK, 2005).

Google Scholar

[21] Y. -I. Jung, D. Y. Yoon and S. -J. L. Kang: Mater. Sci. Forum, Vol. 534-536 (2007), p.567.

Google Scholar

[22] Y. -I. Jung, D. Y. Yoon and S. -J. L. Kang: Acta Mater., Submitted for publication.

Google Scholar

[23] J.M. Howe: Interfaces in Materials, John Wiley & Sons, New York (1997).

Google Scholar

[24] D.Y. Yoon, C.W. Park, J.B. Koo. In: H. -I. Yoo, S. -J. L. Kang, editors. Ceramic Interfaces 2. London: Institute of Materials; (2001), p.3.

Google Scholar

[25] J. M. Kosterlitz: Solid State Phys., Vol. 7 (1974), p.1046.

Google Scholar

[26] H. van Beijeren: Phys. Rev. Lett., Vol. 38 (1977), p.993.

Google Scholar

[27] S. -Y. Chung, D.Y. Yoon, S. -J. L. Kang: Acta Mater., Vol. 50 (2002) p.3361.

Google Scholar

[28] Y. -I. Jung, S. -Y. Choi and S. -J. L. Kang: J. Am. Ceram. Soc., Vol. 86 (2003), p.2228.

Google Scholar

[29] J. Chang and S. -J.L. Kang: Mater. Sci. Forum, in press.

Google Scholar

[30] M. -S. Kim, J. G. Fisher, S. -J. L. Kang and H. -Y. Lee: J. Am. Ceram. Soc., Vol. 89 (2006), p.1237.

Google Scholar

[31] J.G. Fisher, S. -Y. Choi and S. -J. L. Kang: J. Am. Ceram. Soc., Vol. 89 (2006), p.2206.

Google Scholar

[32] J. G. Fisher, M. -S. Kim, H. -Y. Lee and S. -J. L. Kang: J. Am. Ceram. Soc., Vol. 87 (2004), p.937.

Google Scholar

[33] Y.K. Cho and D.Y. Yoon: J. Am. Ceram. Soc., Vol. 87 (2004), p.87.

Google Scholar

[34] B. -K. Lee, S. -Y. Chung and S. -J. L. Kang: Acta Mater., Vol. 48 (2000), p.1575.

Google Scholar

[35] S. B. Lee, D. Y. Yoon and M. F. Henry: Acta Mater., Vol. 48 (2000), p.3071.

Google Scholar

[36] J. B. Koo and D. Y. Yoon: Metall. Mater. Trans. A, Vol. 32A (2001), p.469.

Google Scholar

[37] S. -Y Choi and S. -J. L. Kang: Acta Mater., Vol. 52 (2004), p.2937.

Google Scholar

[38] Y.K. Cho, S. -J. L. Kang and D.Y. Yoon: J. Am. Ceram. Soc., Vol. 87, (2004), p.119.

Google Scholar

[39] S. -Y. Choi and S. -J. L. Kang: Mater. Sci. Forum Vol. 475-479 (2005), Trans Tech Pub., Zürich, p.3891.

Google Scholar

[40] D. -Y. Yang, S. -Y. Choi and S. -J. L. Kang: J. Ceram. Soc. Jap., Vol. 114 (2006), p.970.

Google Scholar

[41] Y. -I. Jung, S. -Y. Choi and S. -J. L. Kang: Acta Mater., Vol. 54 (2006), p.2849.

Google Scholar

[42] H. -Y. Lee, J. -S. Kim, N. -M. Hwang and D. -Y. Kim: J. Eur. Ceram. Soc., Vol. 20 (2000), p.731.

Google Scholar