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An analytical expression for radial and normal displacements of the coating surface during an axisymmetric indentation by a spherical punch is obtained the first time using the bilateral asymptotic method. These expressions allow one to determine the surface displacements of homogeneous, layered, and functionally graded coatings of any thickness. As an example, radial and normal displacements are constructed for a homogeneous coating (titanium nitride on a silicon substrate) and two FGM coatings with harmonic variation on Young’s modulus over the coating thickness. Effect of a relative coating thickness is analyzed.

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Displacements of a FGM-Coated Half-Space Surface Caused by Spherical Indentation

  • 章节

  • 发表日期：

    2025年

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  • Sergei S. Volkov,
  • Sergei M. Aizikovich,
  • Andrey L. Nikolaev,
  • Evgeniy V. Sadyrin,
  • Vasilina A. Lapitskaya

摘要

An analytical expression for radial and normal displacements of the coating surface during an axisymmetric indentation by a spherical punch is obtained the first time using the bilateral asymptotic method. These expressions allow one to determine the surface displacements of homogeneous, layered, and functionally graded coatings of any thickness. As an example, radial and normal displacements are constructed for a homogeneous coating (titanium nitride on a silicon substrate) and two FGM coatings with harmonic variation on Young’s modulus over the coating thickness. Effect of a relative coating thickness is analyzed.