The main purpose of this paper is to present numerical results of static bending and free vibration of functionally graded porous (FGP) variable-thickness plates by using an edge-based smoothed finite element method (ES-FEM) associate with the mixed interpolation of tensorial components technique for the three-node triangular element (MITC3), so-called ES-MITC3. This ES-MITC3 element is performed to eliminate the shear locking problem and to enhance the accuracy of the existing MITC3 element. In the ES-MITC3 element, the stiffness matrices are obtained by using the strain smoothing technique over the smoothing domains formed by two adjacent MITC3 triangular elements sharing an edge. Materials of the plate are FGP with a power-law index (k) and maximum porosity distributions ($\text{Ω}$) in the forms of cosine functions. The influences of some geometric parameters, material properties on static bending, and natural frequency of the FGP variable-thickness plates are examined in detail.

本文的主要目的是通过使用基于张量的混合插值的基于边缘的平滑有限元方法（ES-FEM）来给出功能梯度多孔（FGP）可变厚度板的静态弯曲和自由振动的数值结果三节点三角元素（MITC3）的组件技术，即所谓的ES-MITC3。执行此ES-MITC3元素可消除剪切锁定问题并提高现有MITC3元素的精度。在ES-MITC3元素中，刚度矩阵是通过使用应变平滑技术在由共享边的两个相邻MITC3三角形元素形成的平滑区域上获得的。板的材料是具有幂律指数（k）和最大孔隙率分布（$\text{Ω}$）以余弦函数的形式表示。详细研究了一些几何参数，材料特性对FGP可变厚度板的静态弯曲和固有频率的影响。