A New Model for Axisymmetric Contact Problem of Functionally Graded Materials

摘要

The main interest of this study is a new method to solve the axisymmetric contact problem of functionally graded materials (FGMs) coated. Based on the fact that an arbitrary curve can be approached by a series of continuous but piecewise linear curves, this model divided the FGMs into a series of sub-layers with shear modulus varying linearly in each sub-layers and continuous on the sub-interfaces. With the model, the axisymmetric 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.