This study focusses on establishing the finite element model based on a new hyperbolic sheareformation theory to investigate the static bending, free vibration, and buckling of the functionally graded sandwich plates with porosity. The novel sandwich plate consists of one homogenous ceramic core and two different functionally graded face sheets which can be widely applied in many fields of engineering and defence technology. The discrete governing equations of motion are carried out via Hamilton’s principle and finite element method. The computation program is coded in MATLAB software and used to study the mechanical behavior of the functionally graded sandwich plate with porosity. The present finite element algorithm can be employed to study the plates with arbitrary shape and boundary conditions. The obtained results are compared with available results in the literature to confirm the reliability of the present algorithm. Also, a comprehensive investigation of the effects of several parameters on the bending, free vibration, and buckling response of functionally graded sandwich plates is presented. The numerical results shows that the distribution of porosity plays significant role on the mechanical behavior of the functionally graded sandwich plates.

本研究的重点是建立基于新的双曲线剪切成形理论的有限元模型，以研究具有孔隙的功能梯度夹层板的静态弯曲、自由振动和屈曲。新型夹层板由一个均质陶瓷芯和两个不同功能梯度的面板组成，可广泛应用于工程和国防技术的许多领域。运动的离散控制方程是通过汉密尔顿原理和有限元方法进行的。计算程序在MATLAB软件中编写，用于研究具有孔隙率的功能梯度夹层板的力学行为。本有限元算法可用于研究具有任意形状和边界条件的板。将获得的结果与文献中的可用结果进行比较，以确认本算法的可靠性。此外，还全面研究了几个参数对功能梯度夹层板的弯曲、自由振动和屈曲响应的影响。数值结果表明，孔隙率分布对功能梯度夹层板的力学行为有重要影响。