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

Maria Kashtalyan, M. Menshykova

Research output: Contribution to journalArticlepeer-review

48 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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