Finite element analysis of functionally graded sandwich plates with porosity via a new hyperbolic shear deformation theory

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.