Paper Titles

Foreword, Preface and Dedication

Phase Field Models as Computer Experiments: Growth Kinetics of Anisotropic Precipitates
p.1

Dislocation Dynamics Simulations
p.13

Size and Solid Solubility in Electrodeposited Ag-Ni Nanoparticles
p.21

First-Principle Investigation of Lithium Intercalation Behavior of a (3, 3) Carbon Nanotube
p.27

Molecule Induced Strong Coupling between Ferromagnetic Electrodes of a Molecular Spintronics Device
p.32

On Design of Metal-Matrix Composites Lighter than Air
p.55

Challenges in Manufacturing Aluminium Based Metal Matrix Nanocomposites via Stir Casting Route
p.72

Fabrication and Characterisation of Al-Al₂O₃ Composite by Mechanical Alloying
p.81

HomeMaterials Science ForumMaterials Science Forum Vol. 736Phase Field Models as Computer Experiments: Growth...

Phase Field Models as Computer Experiments: Growth Kinetics of Anisotropic Precipitates

Article Preview

Abstract:

Phase field models are widely used for the study of microstructures and their evolution. They can also be used as computer experiments. As computer experiments, they serve two important roles: (a) theoretical results which are hard to verify/validate experimentally can be verified/validated on the computer using phase field models; and, (b) when severe assumptions are made in a theory, they can be relaxed in the phase field model, and hence, results with wider reach can be obtained. In this paper, we discuss some such computer experiments in general, and the growth kinetics of precipitates in systems with tetragonal and cubic interfacial anisotropies in particular.

You might also be interested in these eBooks

Advances in Materials Development

Info:

Periodical:

Materials Science Forum (Volume 736)

Pages:

1-12

DOI:

https://doi.org/10.4028/www.scientific.net/MSF.736.1

Citation:

Cite this paper

Online since:

December 2012

Authors:

Rajdip Mukherjee, T.A. Abinandanan, M.P. Gururajan

Keywords:

Anisotropy, Interfacial Energy, Phase Field Modelling, Precipitate Growth Kinetics

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] L. Q. Chen, Phase-field models for microstructural evolution, Ann. Rev. Mat. Res., 32 (2002), 113-140.

[2] W. J. Boettinger, J. A. Warren, C. Beckermann, A. Karma, Phase-field simulation of solidification, Ann. Rev. Mat. Res., 32 (2002), 163-194.

DOI: 10.1146/annurev.matsci.32.101901.155803

[3] J. W. Cahn, J. E. Hilliard, Free energy of a nonuniform system. I. Interfacial energy, J. Chem. Phys., 28 (1958), 258-266.

[4] J. E. Hilliard, Spinodal decomposition, in: H. I. Aaronson (Ed. ), Phase transformations, American Society for Metals, Metals Park, Ohio, 1970, pp.497-560.

[5] W. C. Carter, J. E. Taylor, J. W. Cahn, Overview: Variational methods for microstructural-evolution theories, JOM, 49 (1997), 30-36.

DOI: 10.1007/s11837-997-0027-2

[6] C. Zener, Theory of growth of spherical precipitates from solid solution, J. Appl. Phys., 20 (1949), 950-953.

DOI: 10.1063/1.1698258

[7] F. C. Frank, Radially symmetric phase growth controlled by diffusion, Proc. Roy. Soc. Lond. A., 201 (1950), 586-599.

DOI: 10.1098/rspa.1950.0080

[8] R. Mukherjee, T. A. Abinandanan, M. P. Gururajan, Phase field study of precipitate growth: Effect of misfit strain and interface curvature, Acta Mat., 57 (2009), 3947-3954.

DOI: 10.1016/j.actamat.2009.04.056

[9] R. Mukherjee, T. A. Abinandanan, M. P. Gururajan, Precipitate growth with composition-dependent diffusivity: Comparison between theory and phase field simulations, Script. Mat., 62 (2010), 85-88.

DOI: 10.1016/j.scriptamat.2009.09.030

[10] F. S. Ham, Theory of diffusion-limited precipitation, J. Phys. Chem. Solids, 6 (1958), 335-351.

[11] F. S. Ham, Shape preserving solutions of the time-dependent diffusion equation, Quart. Appl. Math., 17 (1959), 137-145.

DOI: 10.1090/qam/108196

[12] G. Horvay, J. W. Cahn, Dendritic and spheroidal growth, Acta Met., 9 (1961), 695-705.

DOI: 10.1016/0001-6160(61)90008-6

[13] R. Mukherjee, Precipitate growth kinetics: a phase field study, M. Sc. Thesis (2005), Submitted to Department of Materials Engineering, Indian Institute of Science, Bangalore, 560012, INDIA.

[14] T. A. Abinandanan, F. Haider, An extended Cahn-Hilliard model for interfaces with cubic anisotropy, Phil. Mag. A, 81 (2001), 2457-2479.

DOI: 10.1080/01418610110038420

[15] A. Karma, W. J. Rappel, Phase-field method for computationally efficient modeling of solidification with arbitrary interface kinetics, Phys. Rev. E., 53 (1996), R3017-R3020.

DOI: 10.1103/physreve.53.r3017

[16] J. D. Eshelby, The determination of the elastic field of an ellipsoidal inclusion, and related problems, Proc. R. Soc. Lond. A., 241 (1957), 376-396.

DOI: 10.1098/rspa.1957.0133

[17] J. D. Eshelby, The elastic field outside an ellipsoidal inclusion, Proc. R. Soc. Lond. A., 252 (1959), 561-569.

DOI: 10.1098/rspa.1959.0173

[18] M. P. Gururajan, T. A. Abinandanan, Phase field study of precipitate rafting under a uniaxial stress, Acta Mat., 55 (2007), 5015-5026.

DOI: 10.1016/j.actamat.2007.05.021

[19] W. C. Johnson, Precipitate shape evolution under applied stress—thermodynamics and kinetics, Met. Mat. Trans. A, 18 (1987), 233-247.

DOI: 10.1007/bf02825704

[20] V. J. Laraia, W. C. Johnson, P. W. Voorhees, Growth of a coherent precipitate from supersaturated solution, J. Mat. Res., 3 (1988), 257-266.

DOI: 10.1557/jmr.1988.0257

[21] B. G. Chirranjeevi, T. A. Abinandanan , M. P. Gururajan, A phase field study of morphological instabilities in multilayer thin films, Acta Mat., 57 (2009), 1060-1067.

DOI: 10.1016/j.actamat.2008.10.051