Using the phase-field crystal method in the multi-scale modeling of microstructure evolution

N. Provatas; J. A. Dantzig; B. Athreya; P. Chan; P. Stefanovic; N. Goldenfeld; K. R. Elder

doi:10.1007/s11837-007-0095-3

Using the phase-field crystal method in the multi-scale modeling of microstructure evolution

N. Provatas, J. A. Dantzig, B. Athreya, P. Chan, P. Stefanovic, N. Goldenfeld, K. R. Elder

Physics

Research output: Contribution to journal › Review article › peer-review

Abstract

The phase field-crystal method is a new modeling techniqe that incorporates the periodic nature of a crystal lattice by considering a free energy functional that is minimized by periodic density fields. Ihis simple approach naturally incorporates elastic and plastic deformations and multiple crystal orientations and can be used to study a host of important material processing phenomena, including grain growth, dendritic and eutectic solidification, and epitaxial growth. This paper reviews the phase-field-crystal formalism and its use in modeling of microstructure evolution in pure and binary alloy systems.

Original language	English (US)
Pages (from-to)	83-90
Number of pages	8
Journal	JOM
Volume	59
Issue number	7
DOIs	https://doi.org/10.1007/s11837-007-0095-3
State	Published - Jul 2007

ASJC Scopus subject areas

General Materials Science
General Engineering

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10.1007/s11837-007-0095-3

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title = "Using the phase-field crystal method in the multi-scale modeling of microstructure evolution",

abstract = "The phase field-crystal method is a new modeling techniqe that incorporates the periodic nature of a crystal lattice by considering a free energy functional that is minimized by periodic density fields. Ihis simple approach naturally incorporates elastic and plastic deformations and multiple crystal orientations and can be used to study a host of important material processing phenomena, including grain growth, dendritic and eutectic solidification, and epitaxial growth. This paper reviews the phase-field-crystal formalism and its use in modeling of microstructure evolution in pure and binary alloy systems.",

author = "N. Provatas and Dantzig, {J. A.} and B. Athreya and P. Chan and P. Stefanovic and N. Goldenfeld and Elder, {K. R.}",

note = "Funding Information: J. Dantzig, N. Goldenfeld, and P. Chan gratefully acknowledge support from the U.S. National Science Foundation under Grant No. DMR 01-21695. K. Elder would like to acknowledge support from the National Science Foundation under Grant No. DMR-0413062. N. Provatas and P. Stefanovic would like to thank the National Sciences and Engineering ResearchCouncil of Canada for financial support.",

year = "2007",

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doi = "10.1007/s11837-007-0095-3",

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AU - Provatas, N.

AU - Dantzig, J. A.

AU - Athreya, B.

AU - Chan, P.

AU - Stefanovic, P.

AU - Goldenfeld, N.

AU - Elder, K. R.

N1 - Funding Information: J. Dantzig, N. Goldenfeld, and P. Chan gratefully acknowledge support from the U.S. National Science Foundation under Grant No. DMR 01-21695. K. Elder would like to acknowledge support from the National Science Foundation under Grant No. DMR-0413062. N. Provatas and P. Stefanovic would like to thank the National Sciences and Engineering ResearchCouncil of Canada for financial support.

PY - 2007/7

Y1 - 2007/7

N2 - The phase field-crystal method is a new modeling techniqe that incorporates the periodic nature of a crystal lattice by considering a free energy functional that is minimized by periodic density fields. Ihis simple approach naturally incorporates elastic and plastic deformations and multiple crystal orientations and can be used to study a host of important material processing phenomena, including grain growth, dendritic and eutectic solidification, and epitaxial growth. This paper reviews the phase-field-crystal formalism and its use in modeling of microstructure evolution in pure and binary alloy systems.

AB - The phase field-crystal method is a new modeling techniqe that incorporates the periodic nature of a crystal lattice by considering a free energy functional that is minimized by periodic density fields. Ihis simple approach naturally incorporates elastic and plastic deformations and multiple crystal orientations and can be used to study a host of important material processing phenomena, including grain growth, dendritic and eutectic solidification, and epitaxial growth. This paper reviews the phase-field-crystal formalism and its use in modeling of microstructure evolution in pure and binary alloy systems.

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Using the phase-field crystal method in the multi-scale modeling of microstructure evolution

Abstract

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