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Axisymmetric frictionless contact of functionally graded materials

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An Erratum to this article was published on 29 April 2008

Abstract

The main interest of this study is a new method to solve the axisymmetric frictionless contact problem of functionally graded materials (FGMs). Based on the fact that an arbitrary curve can be approached by a series of continuous but piecewise linear curves, the FGM is divided into a series of sub-layers with shear modulus varying linearly in each sub-layer and continuous at the sub-interfaces. With this model, the axisymmetric frictionless contact problem of a functionally graded coated half-space is investigated. By using the transfer matrix method and Hankel integral transform technique, the problem is reduced to a Cauchy singular integral equation. The contact pressure, contact region and indentation are calculated for various indenters by solving the equations numerically.

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Authors and Affiliations

  1. Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing, 100044, China

    Tie-Jun Liu & Yue-Sheng Wang

  2. Department of Civil Engineering, University of Siegen, 57068, Siegen, Germany

    Chuanzeng Zhang

Authors
  1. Tie-Jun Liu
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  2. Yue-Sheng Wang
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  3. Chuanzeng Zhang
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Correspondence to Yue-Sheng Wang.

Additional information

An erratum to this article can be found at http://dx.doi.org/10.1007/s00419-008-0232-7

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Liu, TJ., Wang, YS. & Zhang, C. Axisymmetric frictionless contact of functionally graded materials. Arch Appl Mech 78, 267–282 (2008). https://doi.org/10.1007/s00419-007-0160-y

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  • DOI: https://doi.org/10.1007/s00419-007-0160-y

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