Stress-driven morphological instability of axi-symmetrical surface coatings

Fuqian Yang; Wei Song

doi:10.1016/j.ijsolstr.2006.02.008

Stress-driven morphological instability of axi-symmetrical surface coatings

Fuqian Yang, Wei Song

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

The morphological evolution of an axi-symmetrical surface coating subjected to a uniform residual stress and a longitudinal surface-perturbation was analyzed when surface diffusion is the dominant mechanism for atomic migration. The surface stability of the surface coating was controlled by the gradient of chemical potential associated with surface energy and the elastic energy introduced by the residual stress and surface-perturbation. An explicit formula of the dispersion relation was obtained for determining the evolution of the surface-perturbation and critical frequency. The stability of several special geometries was discussed. It was observed that the critical frequency is a linear function of the film thickness for thin film coatings.

Original language	English
Pages (from-to)	6767-6782
Number of pages	16
Journal	International Journal of Solids and Structures
Volume	43
Issue number	22-23
DOIs	https://doi.org/10.1016/j.ijsolstr.2006.02.008
State	Published - Nov 2006

Bibliographical note

Funding Information:
This research is supported by NSF through a grant CMS-0508989 monitored by Dr. Yip-Wah Chung.

Keywords

Chemical potential
Dispersion equation
Morphological evolution
Surface coating

ASJC Scopus subject areas

Modeling and Simulation
General Materials Science
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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10.1016/j.ijsolstr.2006.02.008

Cite this

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title = "Stress-driven morphological instability of axi-symmetrical surface coatings",

abstract = "The morphological evolution of an axi-symmetrical surface coating subjected to a uniform residual stress and a longitudinal surface-perturbation was analyzed when surface diffusion is the dominant mechanism for atomic migration. The surface stability of the surface coating was controlled by the gradient of chemical potential associated with surface energy and the elastic energy introduced by the residual stress and surface-perturbation. An explicit formula of the dispersion relation was obtained for determining the evolution of the surface-perturbation and critical frequency. The stability of several special geometries was discussed. It was observed that the critical frequency is a linear function of the film thickness for thin film coatings.",

keywords = "Chemical potential, Dispersion equation, Morphological evolution, Surface coating",

author = "Fuqian Yang and Wei Song",

note = "Funding Information: This research is supported by NSF through a grant CMS-0508989 monitored by Dr. Yip-Wah Chung. ",

year = "2006",

month = nov,

doi = "10.1016/j.ijsolstr.2006.02.008",

language = "English",

volume = "43",

pages = "6767--6782",

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T1 - Stress-driven morphological instability of axi-symmetrical surface coatings

AU - Yang, Fuqian

AU - Song, Wei

N1 - Funding Information: This research is supported by NSF through a grant CMS-0508989 monitored by Dr. Yip-Wah Chung.

PY - 2006/11

Y1 - 2006/11

N2 - The morphological evolution of an axi-symmetrical surface coating subjected to a uniform residual stress and a longitudinal surface-perturbation was analyzed when surface diffusion is the dominant mechanism for atomic migration. The surface stability of the surface coating was controlled by the gradient of chemical potential associated with surface energy and the elastic energy introduced by the residual stress and surface-perturbation. An explicit formula of the dispersion relation was obtained for determining the evolution of the surface-perturbation and critical frequency. The stability of several special geometries was discussed. It was observed that the critical frequency is a linear function of the film thickness for thin film coatings.

AB - The morphological evolution of an axi-symmetrical surface coating subjected to a uniform residual stress and a longitudinal surface-perturbation was analyzed when surface diffusion is the dominant mechanism for atomic migration. The surface stability of the surface coating was controlled by the gradient of chemical potential associated with surface energy and the elastic energy introduced by the residual stress and surface-perturbation. An explicit formula of the dispersion relation was obtained for determining the evolution of the surface-perturbation and critical frequency. The stability of several special geometries was discussed. It was observed that the critical frequency is a linear function of the film thickness for thin film coatings.

KW - Chemical potential

KW - Dispersion equation

KW - Morphological evolution

KW - Surface coating

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U2 - 10.1016/j.ijsolstr.2006.02.008

DO - 10.1016/j.ijsolstr.2006.02.008

M3 - Article

AN - SCOPUS:33748952839

SN - 0020-7683

VL - 43

SP - 6767

EP - 6782

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

IS - 22-23

ER -

Stress-driven morphological instability of axi-symmetrical surface coatings

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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