Determination of Young's modulus and Poisson's ratio for coatings

Shuangbiao Liu*, Q. Jane Wang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

26 Scopus citations


Designing thin-film coatings to meet engineering needs requires the knowledge of accurate mechanical properties of the coatings. Young's modulus and Poisson's ratio are two basic mechanical properties of materials, which should be conveniently measured. This paper reports a direct and non-destructive method for the measurement of the Young's modulus and Poisson's ratio of a thin-film coating and its substrate based on the extended Hertz theory for the contact of coated bodies. The theory is used to analyze load-displacement data from a spherical indentation in the elastic range, in which the substrate effect is intrinsically modeled. The Young's modulus and Poisson's ratio are determined at the same time through minimizing the difference between the measured and specially defined modified Young's moduli. Two sets of validation experiments are also reported. This new method does not require any assumptions on pressure distribution and Poisson's ratio and can be easily incorporated into current indentation analysis systems.

Original languageEnglish (US)
Pages (from-to)6470-6477
Number of pages8
JournalSurface and Coatings Technology
Issue number14
StatePublished - Feb 4 2007


  • Measurement
  • Nanoindentation
  • Poisson's ratio
  • Thin-film coating
  • Young's modulus

ASJC Scopus subject areas

  • Chemistry(all)
  • Condensed Matter Physics
  • Surfaces and Interfaces
  • Surfaces, Coatings and Films
  • Materials Chemistry


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