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Axisymmetric frictionless contact of functionally graded materials
Authors:Tie-Jun Liu  Yue-Sheng Wang  Chuanzeng Zhang
Institution:(1) Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing, 100044, China;(2) Department of Civil Engineering, University of Siegen, 57068 Siegen, Germany
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. An erratum to this article can be found at
Keywords:Functionally graded materials  Coating  Contact mechanics  Axisymmetric problem  Transfer matrix method  Singular integral equation
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