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

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Abstract

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.

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Authors and Affiliations

  1. Civil Engineering Department, Karadeniz Technical University, 61080, Ortahisar, Trabzon, Turkey

    İsa Çömez & Volkan Kahya

  2. Mechanical Engineering Program, Texas A&M University at Qatar, Engineering Building, P.O. Box 23874, Education City, Doha, Qatar

    Sami El-Borgi

  3. Applied Mechanics and Systems Research Laboratory, Tunisia Polytechnic School, University of Carthage, BP 743, La Marsa, 2078, Tunisia

    Sami El-Borgi

  4. Department of Civil Engineering, Canik Basari University, Samsun, Turkey

    Ragıp Erdöl

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  1. İsa Çömez
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  2. Sami El-Borgi
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  3. Volkan Kahya
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  4. Ragıp Erdöl
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Correspondence to İsa Çömez.

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Çömez, İ., El-Borgi, S., Kahya, V. et al. Receding contact problem for two-layer functionally graded media indented by a rigid punch. Acta Mech 227, 2493–2504 (2016). https://doi.org/10.1007/s00707-016-1648-8

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  • DOI: https://doi.org/10.1007/s00707-016-1648-8

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