This paper introduces a comprehensive investigation of bi-directional functionally graded sandwich plates using higher-order shear deformation theory and finite element method for the first time. A special procedure incorporating with a bi-linear four-node quadrilateral element is used to treat the free condition of shear stresses on two surfaces of the sandwich plates. Four types of the bi-directional functionally graded sandwich plates with several thickness ratios of layers are considered, in which the material properties of the layers are assumed to vary in both the thickness and the in-plane directions. The present results are compared with published data in some special cases to demonstrate the convergence and accuracy of the present algorithm. The investigations show that the variation of the material ingredients and properties, the boundary conditions, the thickness ratio of layers play significant roles on the bending, free vibration and buckling behaviors of bi-directional functionally graded sandwich plates.

本文首次采用高阶剪切变形理论和有限元方法对双向功能梯度夹层板进行了综合研究。结合双线性四节点四边形单元的特殊程序用于处理夹层板两个表面上的剪切应力的自由条件。考虑了具有多种层厚度比的四种双向功能梯度夹层板，其中假设层的材料特性在厚度和面内方向上都发生变化。在一些特殊情况下，将当前结果与公开数据进行比较，以证明本算法的收敛性和准确性。调查表明，材料成分和性能的变化，