Frictional contact problem of one-dimensional hexagonal piezoelectric quasicrystals layer

Based on three-dimensional (3D) general solutions for one-dimensional (1D) hexagonal piezoelectric quasicrystals (PEQCs), this paper studied the frictional contact problem of 1D PEQCs layer. The frequency response functions layer are analytically derived by applying double Fourier integral transforms to and boundary conditions, which consequently converted corresponding influence coefficients. conjugate gradient method is used obtain unknown pressure distribution, while discrete convolution–fast transform technique applied calculate displacements stresses phonon phason, electric potentials displacements. Numerical results given reveal influences thickness, material parameters loading conditions behavior. obtained 3D not only helpful further analysis understanding coupling characteristics phonon, phason field, but also provide a reference basis experimental development.