Search

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. [ABSTRACT FROM AUTHOR]

In this paper, a refined quasi-three-dimensional shear deformation theory for thermo-mechanical analysis of functionally graded sandwich plates resting on a two-parameter (Pasternak model) elastic foundation is developed. Unlike the other higher-order theories the number of unknowns and governing equations of the present theory is only four against six or more unknown displacement functions used in the corresponding ones. Furthermore, this theory takes into account the stretching effect due to its quasi-three-dimensional nature. The boundary conditions in the top and bottoms surfaces of the sandwich functionally graded plate are satisfied and no correction factor is required. Various types of functionally graded material sandwich plates are considered. The governing equations and boundary conditions are derived using the principle of virtual displacements. Numerical examples, selected from the literature, are illustrated. A good agreement is obtained between numerical results of the refined theory and the reference solutions. A parametric study is presented to examine the effect of the material gradation and elastic foundation on the deflections and stresses of functionally graded sandwich plate resting on elastic foundation subjected to thermo-mechanical loading. [ABSTRACT FROM AUTHOR]

In this study, a new shear deformation plate theory is introduced to illustrate the bending, buckling and free vibration responses of functionally graded material sandwich plates. A new displacement field containing integrals is proposed which involves only four variables. Based on the suggested theory, the equations of motion are derived from Hamilton's principle. This theory involves only four unknown functions and accounts for quasi-parabolic distribution of transverse shear stress. In addition, the transverse shear stresses are vanished at the top and bottom surfaces of the sandwich plate. The Navier solution technique is adopted to derive analytical solutions for simply supported rectangular sandwich plates. The accuracy and effectiveness of proposed model are verified by comparison with previous research. A detailed numerical study is carried out to examine the influence of the critical buckling loads, deflections, stresses, natural frequencies and sandwich plate type on the bending, buckling and free vibration responses of functionally graded sandwich plates. [ABSTRACT FROM AUTHOR]