Electroelastic analysis of functionally graded one-dimensioanl quasicrystal plates

Three-dimensional electroelastic analysis is presented for functionally graded one-dimensional quasicrystal plates with four lateral sides being simply supported. The functionally graded material properties are assumed to be exponentially distributed along the thickness direction. Based on the pseudo-Stroh formalism, the exact solution for functionally graded one-dimensional piezoelectric quasicrystal plates is derived. The obtained solution is subsequently applied to study the functionally graded exponential factor influence on physical quantities in the phonon, phason and electric fields of the plates subjected to a z-direction top surface mechanical load. Numerical results can be used as the benchmark results for assessing the accuracy of other numerical methods.