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Phase Field Modeling of Surface Instabilities Induced by Stresses

Published online by Cambridge University Press:  01 February 2011

D. J. Seol ,
S. Y. Hu ,
Z. K. Liu ,
S. G. Kim ,
W. T. Kim ,
K. H. Oh  and
L. Q. Chen
D. J. Seol
Affiliation:
Department of Materials Science and Engineering, The Pennsylvania State University, University Park, PA 16802, USA
S. Y. Hu
Affiliation:
Department of Materials Science and Engineering, The Pennsylvania State University, University Park, PA 16802, USA
Z. K. Liu
Affiliation:
Department of Materials Science and Engineering, The Pennsylvania State University, University Park, PA 16802, USA
S. G. Kim
Affiliation:
Department of Materials Science and Engineering, Kunsan National University, Kunsan 573–701, Korea
W. T. Kim
Affiliation:
Division of Applied Science, Chongju University, Chongju 360–764, Korea
K. H. Oh
Affiliation:
School of Materials Science and Engineering, Seoul National University, Seoul 151–742, Korea
L. Q. Chen
Affiliation:
Department of Materials Science and Engineering, The Pennsylvania State University, University Park, PA 16802, USA
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Abstract

In this work, we developed a phase field model describing surface evolution dynamics of a strained solid in contact with gas phase. Elastic solutions are solved with an iteration method for the system in which a solid film, strained by the mismatch strain between the film and substrate, has anisotropic elastic constants and the vapor phase has zero elastic constants. Elastic solutions are incorporated into the phase field evolution equation. The model predicts stable morphology at a given mismatch strain and perturbation wavelength.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 795: Symposium U – Thin Films - Stresses and Mechanical Properties X , 2003 , U2.10
Copyright
Copyright © Materials Research Society 2004

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References

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