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Published in: Metallurgical and Materials Transactions A 12/2010

01-12-2010

Interfacial Energy of Diffuse Phase Boundaries in the Generalized Broken-Bond Approach

Authors: B. Sonderegger, E. Kozeschnik

Published in: Metallurgical and Materials Transactions A | Issue 12/2010

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Abstract

In the present article, the interfacial energy of coherent, planar phase boundaries is treated theoretically in the framework of the generalized n nearest-neighbor broken-bond (NNBB) approach, taking into account that a certain degree of mixing of atoms can occur between the two phases across the phase boundary. This mixing introduces additional entropic contributions to the planar sharp interfacial energy. It is shown that, in this case, the dilute interfacial energy is lower than the energy of the corresponding sharp interface. For the special case of regular solutions, an analytical approximation is developed, which is expressed in relation to the corresponding sharp interface solution. It is shown that the present general broken-bond (GBB) model represents a simple and computationally efficient method for determining diffuse interface energies, particularly in multicomponent systems, where general (e.g., CALPHAD type) thermodynamic data are available.

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Literature
2.
go back to reference D. Turnbull: Impurities and Imperfections, ASM, Metals Park, OH, 1955, pp. 121–43. D. Turnbull: Impurities and Imperfections, ASM, Metals Park, OH, 1955, pp. 121–43.
3.
go back to reference B. Sonderegger and E. Kozeschnik: Metall. Mater. Trans. A, 2009, vol. 40A, pp. 499–510.CrossRefADS B. Sonderegger and E. Kozeschnik: Metall. Mater. Trans. A, 2009, vol. 40A, pp. 499–510.CrossRefADS
4.
6.
go back to reference I. Steinbach, F. Pezzola, B. Nestler, M. Seesselberg, R. Prieler, G. J. Schmitz, J.L.L. Rezende: Physica D, 1996, vol. 94, pp. 135–47.MATHCrossRef I. Steinbach, F. Pezzola, B. Nestler, M. Seesselberg, R. Prieler, G. J. Schmitz, J.L.L. Rezende: Physica D, 1996, vol. 94, pp. 135–47.MATHCrossRef
8.
10.
11.
go back to reference M.D. Asta: Theory and Application of the Cluster and Path Probability Methods, Plenum, New York, NY, 1996, pp. 247–254. M.D. Asta: Theory and Application of the Cluster and Path Probability Methods, Plenum, New York, NY, 1996, pp. 247–254.
13.
go back to reference W. Cao, J. Zhu, F. Zhang, W.A. Oates, M. Asta, and Y.A. Chang: Acta Mater., 2006, vol. 54, pp. 377–83.CrossRef W. Cao, J. Zhu, F. Zhang, W.A. Oates, M. Asta, and Y.A. Chang: Acta Mater., 2006, vol. 54, pp. 377–83.CrossRef
14.
go back to reference B. Sonderegger and E. Kozeschnik: Scripta Mater., 2009, vol. 60, pp. 635–38.CrossRef B. Sonderegger and E. Kozeschnik: Scripta Mater., 2009, vol. 60, pp. 635–38.CrossRef
15.
go back to reference N. Saunders and A.P. Miodownik: CALPHAD: A Comprehensive Guide, Pergamon Materials Series, Elsevier, Oxford, United Kingdom, 1998, vol. 1. N. Saunders and A.P. Miodownik: CALPHAD: A Comprehensive Guide, Pergamon Materials Series, Elsevier, Oxford, United Kingdom, 1998, vol. 1.
18.
19.
go back to reference S.C. Yang and P. Nash: Mater. Sci. Technol., 1988, vol. 10, pp. 860–66. S.C. Yang and P. Nash: Mater. Sci. Technol., 1988, vol. 10, pp. 860–66.
21.
go back to reference X. Li, N. Saunders, and A.P. Miodownik: Metall. Mater. Trans. A, 2002, vol. 33A, pp. 3367–73.CrossRef X. Li, N. Saunders, and A.P. Miodownik: Metall. Mater. Trans. A, 2002, vol. 33A, pp. 3367–73.CrossRef
23.
go back to reference H.A. Calderon, P. E. Voorhees: Acta Metall. Mater., 1994, vol. 42, pp. 991–1000.CrossRef H.A. Calderon, P. E. Voorhees: Acta Metall. Mater., 1994, vol. 42, pp. 991–1000.CrossRef
24.
go back to reference R. Wagner, R. Kampmann, and P.W. Vorhees: Phase Transformations in Materials, G. Kostorz, ed., Wiley-VCH, Weinheim, Germany, 2001, pp. 309–406. R. Wagner, R. Kampmann, and P.W. Vorhees: Phase Transformations in Materials, G. Kostorz, ed., Wiley-VCH, Weinheim, Germany, 2001, pp. 309–406.
25.
go back to reference D. Kashchiev: Nucleation: Basic Theory with Applications, Butterworth-Heinemann, Burlington, MA, 2000, pp. 79–82. D. Kashchiev: Nucleation: Basic Theory with Applications, Butterworth-Heinemann, Burlington, MA, 2000, pp. 79–82.
Metadata
Title
Interfacial Energy of Diffuse Phase Boundaries in the Generalized Broken-Bond Approach
Authors
B. Sonderegger
E. Kozeschnik
Publication date
01-12-2010
Publisher
Springer US
Published in
Metallurgical and Materials Transactions A / Issue 12/2010
Print ISSN: 1073-5623
Electronic ISSN: 1543-1940
DOI
https://doi.org/10.1007/s11661-010-0370-8

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