Receding contact problem for two-layer functionally graded media indented by a rigid punch

İsa Çömez, Sami El-Borgi, Volkan Kahya, Ragıp Erdöl

Research output: Contribution to journalArticle

19 Citations (Scopus)


The present paper examines the plane strain receding frictionless contact problem of two functionally graded layers indented by a rigid cylindrical punch and with mismatched material properties at the interface. The shear moduli of the layers are assumed to vary in exponential form along the thickness direction and the Poisson’s ratios are taken as constant. With use of the Fourier integral transform, the governing equations are reduced to a system of two singular integral equations, in which the unknowns are the contact pressure and the contact widths. These integral equations are solved numerically using Gauss–Chebychev integration formulas. The main objective of this paper is to study the effect of the material inhomogeneity parameters and interface material property mismatch on the contact pressure and the size of the contact regions.

Original languageEnglish
Pages (from-to)2493-2504
Number of pages12
JournalActa Mechanica
Issue number9
Publication statusPublished - 1 Sep 2016


ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanical Engineering

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