We investigated a receding contact problem for the functionally graded piezoelectric coating (FGPC) materials. Both the elastic constants and piezoelectric and dielectric constants of the FGPC are considered to vary exponentially along the gradient direction. This contact system degenerates into a system of singular integral equations by applying a standard Fourier integral transform to the governing equations of the FGPC and the elastic substrate. Then, the Gauss–Chebyshev polynomials are introduced to discrete this singular integral system into an algebraic system, in which the unknowns (i.e., the contact radius and contact stress at both interfaces) can be solved by our proposed iterative algorithm using the given boundary conditions. Numerical examples are performed to verify the accuracy of this iterative algorithm, and the influence of the gradient parameters and applied loads on the top surface of FGPC on the contact radius and contact stress at both interfaces are further analyzed.
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