A surface crack in a graded coating bonded to a homogeneous substrate under thermal loading

S. El-Borgi*, M. F. Djemel, R. Abdelmoula

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

The elastostatic problem of a surface crack in a graded coating bonded to a homogeneous substrate under steady-state heat flux is considered. The coating is graded along the thickness direction and modeled as a nonhomogeneous medium with an isotropic stress-strain law. The problem is solved under the assumption of plane strain or generalized plane stress conditions. The resulting crack problem is of mode I because the orientations of the crack axis, the material gradient and the heat-flux are all parallel. The equivalent crack surface tractions are first obtained and substituted in the plane elasticity equations which are then converted analytically into a singular integral equation. The resulting equation is solved numerically using orthogonal Jacobi polynomials to yield the Mode I stress intensity factor. The main objective of the article is to study the effect of the layer thickness and nonhomogeneity parameters on the crack tip stress intensity factor for the purpose of gaining better understanding on the behavior of graded coatings under thermal loading.

Original languageEnglish
Pages (from-to)176-194
Number of pages19
JournalJournal of Thermal Stresses
Volume31
Issue number2
DOIs
Publication statusPublished - Feb 2008
Externally publishedYes

Keywords

  • Graded coating
  • Singular integral equation
  • Stress intensity factor
  • Surface crack
  • Thermal loading

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