A three-dimensional (3D) electric–elastic analysis of multilayered two-dimensional decagonal quasicrystal (QC) circular plates with simply supported or clamped boundary conditions is presented through a state vector approach. Both perfect and imperfect bonds between the layers are considered by adjusting the parameter sets in the model. Governing equations for the plates subjected to electric or elastic load on the bottom surfaces are derived using the state equations and the propagator matrix method. We explicitly obtain the analytical solution by writing the physical variables as Bessel series expansions and polynomial functions with respect to the radial coordinate. The solution is validated by comparing the numerical results with the 3D finite element analysis. The basic physical quantities of the plates in the phonon, phason, and electric fields are computed in the numerical examples. Result shows that the QC layers as coatings decrease the deflection in the phonon and phason fields of plates. The phonon–phason coupling elastic modulus and piezoelectric constant produce positive and negative effects on the magnitudes of stresses. Besides, compliance coefficients of the weak interface in the phonon field contribute more to the variations than those in the phason field.

通过状态矢量方法，对具有简单支撑或约束边界条件的多层二维十边形准晶体（QC）圆板进行了三维（3D）电弹性分析。通过调整模型中的参数集，可以考虑层之间的完美结合和不完美结合。使用状态方程和传播矩阵方法，可以得出在底面上承受电或弹性载荷的板的控制方程。通过将物理变量写为相对于径向坐标的Bessel级数展开和多项式函数，我们明确获得了解析解。通过将数值结果与3D有限元分析进行比较来验证该解决方案。声子，声子，在数值示例中计算电场和电场。结果表明，作为涂层的QC层降低了板的声子和声子场的偏转。声子-相子耦合弹性模量和压电常数对应力的大小产生正负影响。此外，声子场中弱界面的顺应性系数比声子场中的弱。