Investigation on the 2D Contact of Multilayer Functionally Graded Piezoelectric Material Coating Under Conducting Indenters

Abstract

Considering the contact problem for functionally graded piezoelectric material (FGPM) coating under the different kinds of conducting indenter. Effects of gradient index on the contact mechanical behavior of functionally graded piezoelectric coating were investigated. In this paper, a model of multilayer functionally graded piezoelectric coatings is established. The contact problem of multilayer functionally graded piezoelectric coatings was transformed into singular integral equation(s) by using the Fourier integral transform technology and transfer matrix method. Gauss-Chebyshev quadrature formula is used to obtain the surface stress distribution and charge distribution in multilayer functionally graded piezoelectric coating-substrate system under a rigid conducting flat indenters and a conducting cylindrical indenters. According to the numerical results, the effects of different variations of material parameters of FGPM coating on the indentation and electrical potential are analyzed. The distribution of stress and electrical displacement in functionally graded piezoelectric coating are analyzed. The results show that the different variations of material parameters of functionally graded piezoelectric material coating have an important influence on the contact behavior in the structures.