Three-Dimensional Phase-Field Modeling of Spinodal Decomposition in Constrained Films

D. J. Seol; S. Y. Hu; Y. L. Li; J. Shen; K. H. Oh; L. Q. Chen

doi:10.1007/BF03027232

Three-Dimensional Phase-Field Modeling of Spinodal Decomposition in Constrained Films

D. J. Seol, S. Y. Hu, Y. L. Li, J. Shen, K. H. Oh, L. Q. Chen

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22 Scopus citations

Abstract

The morphological evolution during spinodal decomposition in binary alloy thin films elastically constrained by substrates is studied. Elastic solutions, derived for both elastically isotropic and anisotropic thin films subject to mixed stress-free and constraint boundary conditions, are employed in a three-dimensional phase-field model to investigate the effect of coherency strain and substrate constraint on microstructural evolution. The temporal evolution of the Cahn-Hilliard equation under thin film boundary conditions is solved with a semi-implicit Fourier-spectral method. The phase separation with coherency strain in an elastically anisotropic film shows the behavior of surface-directed spinodal decomposition driven by the elastic energy effect. Negative elastic anisotropy in the cubic alloy causes the alignment of the phases along 〈100〉 elastically soft directions.

Original language	English (US)
Pages (from-to)	61-66
Number of pages	6
Journal	Metals and Materials International
Volume	9
Issue number	1
DOIs	https://doi.org/10.1007/BF03027232
State	Published - Feb 2003

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Mechanics of Materials
Metals and Alloys
Materials Chemistry

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10.1007/BF03027232

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@article{88550309572d4177b3ab7e950ad321c5,

title = "Three-Dimensional Phase-Field Modeling of Spinodal Decomposition in Constrained Films",

abstract = "The morphological evolution during spinodal decomposition in binary alloy thin films elastically constrained by substrates is studied. Elastic solutions, derived for both elastically isotropic and anisotropic thin films subject to mixed stress-free and constraint boundary conditions, are employed in a three-dimensional phase-field model to investigate the effect of coherency strain and substrate constraint on microstructural evolution. The temporal evolution of the Cahn-Hilliard equation under thin film boundary conditions is solved with a semi-implicit Fourier-spectral method. The phase separation with coherency strain in an elastically anisotropic film shows the behavior of surface-directed spinodal decomposition driven by the elastic energy effect. Negative elastic anisotropy in the cubic alloy causes the alignment of the phases along 〈100〉 elastically soft directions.",

author = "Seol, {D. J.} and Hu, {S. Y.} and Li, {Y. L.} and J. Shen and Oh, {K. H.} and Chen, {L. Q.}",

note = "Funding Information: The authors are grateful for the financial support for this research of the National Research Laboratory Project through the Ministry of Science and Technology, and of the US National Science Foundation under grant numbers DMR-01-22638 and DMS-0074283.",

year = "2003",

month = feb,

doi = "10.1007/BF03027232",

language = "English (US)",

volume = "9",

pages = "61--66",

journal = "Metals and Materials International",

issn = "1598-9623",

publisher = "Korean Institute of Metals and Materials",

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T1 - Three-Dimensional Phase-Field Modeling of Spinodal Decomposition in Constrained Films

AU - Seol, D. J.

AU - Hu, S. Y.

AU - Li, Y. L.

AU - Shen, J.

AU - Oh, K. H.

AU - Chen, L. Q.

N1 - Funding Information: The authors are grateful for the financial support for this research of the National Research Laboratory Project through the Ministry of Science and Technology, and of the US National Science Foundation under grant numbers DMR-01-22638 and DMS-0074283.

PY - 2003/2

Y1 - 2003/2

N2 - The morphological evolution during spinodal decomposition in binary alloy thin films elastically constrained by substrates is studied. Elastic solutions, derived for both elastically isotropic and anisotropic thin films subject to mixed stress-free and constraint boundary conditions, are employed in a three-dimensional phase-field model to investigate the effect of coherency strain and substrate constraint on microstructural evolution. The temporal evolution of the Cahn-Hilliard equation under thin film boundary conditions is solved with a semi-implicit Fourier-spectral method. The phase separation with coherency strain in an elastically anisotropic film shows the behavior of surface-directed spinodal decomposition driven by the elastic energy effect. Negative elastic anisotropy in the cubic alloy causes the alignment of the phases along 〈100〉 elastically soft directions.

AB - The morphological evolution during spinodal decomposition in binary alloy thin films elastically constrained by substrates is studied. Elastic solutions, derived for both elastically isotropic and anisotropic thin films subject to mixed stress-free and constraint boundary conditions, are employed in a three-dimensional phase-field model to investigate the effect of coherency strain and substrate constraint on microstructural evolution. The temporal evolution of the Cahn-Hilliard equation under thin film boundary conditions is solved with a semi-implicit Fourier-spectral method. The phase separation with coherency strain in an elastically anisotropic film shows the behavior of surface-directed spinodal decomposition driven by the elastic energy effect. Negative elastic anisotropy in the cubic alloy causes the alignment of the phases along 〈100〉 elastically soft directions.

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JO - Metals and Materials International

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IS - 1

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Three-Dimensional Phase-Field Modeling of Spinodal Decomposition in Constrained Films

Abstract

All Science Journal Classification (ASJC) codes

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