Thermodynamic behavior of functionally graded sandwich plates resting on different elastic foundation and with various boundary conditions

Abstract

The thermodynamic behavior of functionally graded (FG) sandwich plates resting on Winkler/Pasternak/Kerr foundations and with various boundary conditions is studied in this paper by using a refined 2D plate theory. The displacement field of the present theory contains undetermined integral forms and involves only four unknowns to derive. The plate is considered to be subject to a time harmonic sinusoidal temperature field across its thickness. Three types of foundation are studied. Each is described by a mathematical model. Different boundary conditions are used to study the thermodynamic behavior of sandwich plates on elastic foundations. The present model gives an incredible concurrence with the accessible literature. The adaptability of the proposed theory is handled by considering the impact of different parameters like time parameter, foundation parameters and deflection on the bending response of sandwich plate through several illustrations.