Frictional contact problem of a rigid charged indenter on two dimensional hexagonal piezoelectric quasicrystals coating

This paper reports the frictional contact problem of a rigid charged indenter on two-dimensional (2D) hexagonal piezoelectric quasicrystals (PEQCs) coating. Using the rigorous operator theory and Almansi theorem, two sets of three-dimensional (3D) general solutions for 2D-hexagonal PEQCs are obtained. The frequency response functions (FRFs) for displacements and stresses of phonon and phason, electric potentials and electric displacements, which are the multifield responses of material under generalised unit point load in the Fourier domain, are obtained by applying double Fourier integral transforms to the general solutions and boundary conditions. The contact responses, such as pressures and stresses, are solved by the discrete convolution-fast Fourier transform technique (DC-FFT). Numerical results are given to reveal the influences of material parameters and loading conditions on the contact behaviour. The obtained 3D contact solutions are not only helpful further analysis and understanding of the coupling characteristics of phonon, phason and electric field, but also provide a reference basis for experimental analysis and material development.