Stress-driven morphological instability of axi-symmetrical surface coatings

Fuqian Yang, Wei Song

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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 languageEnglish
Pages (from-to)6767-6782
Number of pages16
JournalInternational Journal of Solids and Structures
Issue number22-23
StatePublished - Nov 2006

Bibliographical note

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


  • 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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