Three-dimensional elastic deformation of a functionally graded coating/substrate system

Maria Kashtalyan, M. Menshykova

Research output: Contribution to journalArticle

45 Citations (Scopus)


The concept of functionally graded material (FGM) is actively explored in coating design for the purpose of eliminating the mismatch of material properties at the coating/substrate interface, typical for conventional coatings, which can lead to cracking, debonding and eventual functional failure of the coating. In this paper, an FGM coating/substrate system of finite thickness subjected to transverse loading is analysed within the context of three-dimensional elasticity theory. The Young's modulus of the coating is assumed to vary exponentially through the thickness, and the Poisson's ratio is assumed to be constant. A comparative study of FGM versus homogeneous coating is conducted, and the dependence of stress and displacement fields in the coating substrate/system on the type of coating, geometry and loading is examined and discussed. (c) 2007 Elsevier Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)5272-5288
Number of pages16
JournalInternational Journal of Solids and Structures
Issue number16
Early online date31 Dec 2006
Publication statusPublished - Aug 2007


  • functionally graded material
  • coating
  • three-dimensional elasticity theory
  • interface crack problem
  • fracture-analysis
  • antiplane deformation
  • spallation mechanism
  • contact mechanics
  • plane deformation
  • finite thickness
  • element method
  • coatings
  • substrate

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