An axisymmetric problem of an embedded crack in a graded layer bonded to a homogeneous half-space

M. Rekik, M. Neifar, Sami El-Borgi

Research output: Contribution to journalArticle

6 Citations (Scopus)


In an attempt to simulate non-uniform coating delamination, the elasto-static problem of a penny shaped axisymmetric crack embedded in a functionally graded coating bonded to a homogeneous substrate subjected to crack surface tractions is considered. The coating's material gradient is parallel to the axisymmetric direction and is orthogonal to the crack plane. The graded coating is modeled as a non-homogeneous medium with an isotropic constitutive law. Using Hankel transform, the governing equations are converted into coupled singular integral equations, which are solved numerically to yield the crack tip stress intensity factors. The Finite Element Method was additionally used to model the crack problem. The main objective of this paper is to study the influence of the material non-homogeneity and the crack position on the stress intensity factors for the purpose of gaining better understanding on the behavior of graded coatings.

Original languageEnglish
Pages (from-to)2043-2055
Number of pages13
JournalInternational Journal of Solids and Structures
Issue number16
Publication statusPublished - 1 Aug 2010
Externally publishedYes



  • Finite elements method and singular elements
  • Graded coating
  • Mixed-mode loading
  • Singular integral equations
  • Stress intensity factor
  • Surface crack

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Materials Science(all)
  • Condensed Matter Physics
  • Applied Mathematics
  • Modelling and Simulation

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