An embedded crack in a graded coating bonded to a homogeneous substrate under thermo-mechanical loading

S. El-Borgi, L. Hidri, R. Abdelmoula

Research output: Contribution to journalArticle

11 Citations (Scopus)


The problem of an embedded partially insulated crack in a graded coating bonded to a homogeneous substrate under thermal and mechanical loading is considered. The heat conduction and the plane elasticity equations are converted into singular integral equations which are solved to yield the temperature and the displacement fields in the medium as well as the crack tip stress intensity factors. A crack-closure algorithm is applied to avoid interpenetration. The main objective of the paper is to study the effect of the coating nonhomogeneity parameters, partial insulation of the crack surfaces and crack-closure on the crack tip stress intensity factors for the purpose of gaining better understanding of the thermo-mechanical behavior of graded coatings.

Original languageEnglish
Pages (from-to)439-466
Number of pages28
JournalJournal of Thermal Stresses
Issue number5
Publication statusPublished - 1 May 2006



  • Crack-closure
  • Functionally graded coating
  • Partially insulated crack
  • Stress intensity factors

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics

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