Axisymmetric frictionless contact of functionally graded materials |
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Authors: | Tie-Jun Liu Yue-Sheng Wang Chuanzeng Zhang |
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Affiliation: | (1) Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing, 100044, China;(2) Department of Civil Engineering, University of Siegen, 57068 Siegen, Germany |
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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 |
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Keywords: | Functionally graded materials Coating Contact mechanics Axisymmetric problem Transfer matrix method Singular integral equation |
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