A multilayered rectangular flexoelectric structure is considered. This composite has a unit cell of N-constituents which belong to the cubic crystal symmetry. Using the two-scale asymptotic homogenization method, explicit expressions of the local problems are derived. Simple closed-form formulas of the effective stiffness, piezoelectric, dielectric, and flexoelectric tensors are given, based on the solutions of local problems of stratified multilayered composites with perfect contact at the interface. These formulas provide information about the symmetry of the homogenized structure. As a numerical example, a bilaminate composite where the layers are perpendicular to the \(x_3\) axis is studied, and the constituents are Barium Titanate and Gallium Arsenide. The composite after the homogenization process exhibits flexoelectric properties with tetragonal \(\bar{4}2\)m crystal symmetry. The effective properties are computed for several constituents of volume fractions.

考虑了多层矩形柔性电结构。该复合物具有属于立方晶体对称性的N成分的晶胞。使用两步渐近均匀化方法，导出局部问题的显式表达式。根据层状多层复合材料在界面处具有完美接触的局部问题的解决方案，给出了有效刚度，压电，介电和柔电张量的简单闭式公式。这些公式提供了有关均质结构对称性的信息。作为数值示例，双层复合材料，其中的层垂直于\（x_3 \）对轴进行了研究，其成分为钛酸钡和砷化镓。均质化后的复合材料表现出具有四方\（\ bar {4} 2 \） m晶体对称性的柔电特性。计算体积分数的几个组成部分的有效特性。