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

DAI Wenxin; LIU Tiejun

doi:10.21656/1000-0887.430187

Volume 44 Issue 3

Mar. 2023

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DAI Wenxin, LIU Tiejun. Investigation on the 2D Contact of Multilayer Functionally Graded Piezoelectric Material Coating Under Conducting Indenters[J]. Applied Mathematics and Mechanics, 2023, 44(3): 282-303. doi: 10.21656/1000-0887.430187

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

doi: 10.21656/1000-0887.430187

DAI Wenxin,
LIU Tiejun^,

School of Science, Inner Mongolia University of Technology, Hohhot 010051, P.R.China

Received Date: 2022-06-06
Accepted Date: 2023-01-27
Rev Recd Date: 2022-10-27

Available Online: 2023-03-10

Publish Date: 2023-03-15

Abstract

Abstract

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

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References(23)

References

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