An axisymmetric problem of a partially insulated crack embedded in a graded layer bonded to a homogeneous half-space under thermal loading

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

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10 Citations (Scopus)


The elastic-static problem of a partially insulated axisymmetric crack embedded in a graded coating bonded to a homogeneous substrate subjected to thermal loading is considered. The coating's gradient is parallel to the axisymmetric direction and is orthogonal to the crack plane. The graded coating is modeled as a nonhomogeneous medium with an isotropic constitutive law. Using Hankel transform, the heat conduction and the plane elasticity equations are converted into singular integral equations, which are solved numerically to yield the temperature distribution and 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 nonhomogeneity, partial insulation of the crack faces 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)201-227
Number of pages27
JournalJournal of Thermal Stresses
Issue number3
Publication statusPublished - 1 Mar 2011



  • Finite Elements Method
  • Graded coating
  • Mixed-mode loading
  • Partially insulated crack
  • Singular elements
  • Singular integral equations
  • Stress intensity factors

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics

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