Axisymmetric frictionless contact of functionally graded materials

作者：Liu Tie Jun; Wang Yue Sheng^*; Zhang Chuanzeng

来源：Archive of Applied Mechanics, 2008, 78(4): 267-282.

DOI：10.1007/s00419-007-0160-y

• functionally graded materials
• coating
• contact mechanics
• axisymmetric problem
• transfer matrix method
• singular integral equation

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.

• 出版日期2008-4
• 单位北京交通大学; 中国地震局工程力学研究所