Bending deformation of multilayered one-dimensional hexagonal piezoelectric quasicrystal nanoplates with nonlocal effect

Based on the nonlocal elasticity theory, the static bending deformation of one-dimensional (1D) hexagonal piezoelectric quasicrystal (PQC) nanoplates is investigated under surface electroelastic loadings. The general solutions for the extended displacement and traction vectors of a simply supported and homogeneous PQC nanoplate are derived by solving an eigenvalue problem reduced from the pseudo-Stroh formalism. By utilizing the propagator matrix method, exact closed-form solutions of multilayered 1D hexagonal PQC nanoplates are then obtained by assuming that the layer interfaces are perfectly contacted. Numerical examples for six kinds of sandwich nanoplates made up of piezoelectric crystals (PE), quasicrystal (QC) and PQC are presented to illustrate the effect of the nonlocal parameter and stacking sequence of the nanoplates on the phonon, phason and electric fields, which play an important role in designing new composite structures in engineering.