Bending analysis of two different types of functionally graded material porous sandwich plates

In this paper, a new functionally graded material (FGM) porous sandwich plate analysis model considering pores with only four variables is proposed. It is applied to the nonlinear bending of two different types of FGM porous sandwich plates under mechanical loading, and the bending of two different types of FGM porous sandwich plates is compared. The governing equations are obtained through the principle of virtual work. The simple supported FGM porous sandwich plates are solved using the Navier method. The obtained numerical results are compared with the results in the literature to verify the accuracy of the theory in this paper. Finally, the effects of volume fraction index, porosity, layer thickness ratio, side-thickness ratio and symmetry on the mechanical bending properties of FGM porous sandwich plates are studied in detail. By comparing the bending characteristics of two types of FGM porous sandwich plates under different influencing factors, it is found that the bending characteristics of different FGM porous sandwich plate types are also very different. This has great guiding significance for the design of FGM porous sandwich plates.

Automated summary

This paper proposes a new analysis model for functionally graded material (FGM) porous sandwich plates with only four variables considering pores. It is applied to the nonlinear bending of two different types of FGM porous sandwich plates under mechanical loading and compares their bending characteristics. The governing equations are obtained using the principle of virtual work, and the Navier method is employed to solve the simply supported FGM porous sandwich plates. The obtained numerical results are compared with literature to validate the accuracy of the theory. The effects of various factors on the mechanical bending properties of FGM porous sandwich plates are studied in detail, providing valuable guidance for their design.