Free Vibration Analysis of Multi-directional Porous Functionally Graded Sandwich Plates

Abstract

The present study focuses on the analysis and modeling of the mechanical behavior of multidirectional porous sandwich plates made of FGM composite material. Two cases namely of sandwich plates have been considered in this study: Sandwich with FGM skins and homogeneous core and sandwich with FGM core and homogeneous skins. In this context, a new displacement field including both cross-sectional and transverse shear deformations was used, the material properties of the sandwich plate are assumed to vary in both the longitudinal and transversal directions. The equations of motion will be determined using Hamilton's theory. The objective of this research is firstly to propose a new theory of shear deformation.