Abstract:
The bending analysis was presented for simply supported sandwich plate with a functionally graded core subjected to distributed load. Based on the Reissner assumptions, the expressions of the stress, displacements and internal force were presented according to the constitutive relations of functionally graded materials, and the equilibrium equations of functionally graded sandwich plate were given. Finally, the solutions of the equilibrium equations were derived by expanding the deflection
w, transverse shearing force
Qx and
Qy with double trigonometric series which satisfied the simply supported boundary conditions. In the example, the proposed solution was validated by comparing the degenerated results for sandwich plates with a homogeneous isotropic core subjected to uniform pressure to the classical elastic solution, and comparing the result for sandwich plate with a functionally graded core to FEM (Finite element method), whose Young’s modulus obey a linear distribution in the thickness.