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In a thermal environment, using the formulations of the refined shear deformation theory, the flexion of the functionally graduated rectangular plates (P-FGM) based on nonuniform elastic foundations is presented. The layers resting on nonuniform elastic foundation are subjected to symmetrical distributed loads. Nonlinear variations in the in-plane displacements through the thickness of the plate are based on the choice of the displacement field of the present theory. Without including shear correction factor, the present theory satisfies the free transverse shear stress conditions on the top and bottom surfaces of the plate. The present refined shear deformation theory contains only four unknowns. According to a power law of the volume fraction, the properties of the materials of this plate vary continuously across the thickness. Comparisons with other results have been made nonuniform foundation. The effects of the index and the dimensions of the P-FGM plate and of the elastic foundation parameters on the thermomechanical behavior are studied. Numerical results show accuracy comparable to other theories in the literature. [ABSTRACT FROM AUTHOR]

Transient stress and deformation analysis of a functionally graded rotating cylinder made of Al-Sic with short length under thermal and mechanical loads is studied in this paper. It is assumed that the cylinder is located on a friction bed and is subjected to an external torque. The material property is assumed to be variable along the radial direction based on volume fraction distribution. Thermal conductivity equation with time parameter is solved to obtain temperature distribution by Finite Difference Method. First-order shear deformation theory is used to derive kinematic relations. The governing equations are derived using minimum total potential energy and Euler relations. These governing equations are solved using the method of Eigenvalue and Eigenvector. The physical and loading boundary conditions are applied to obtain unknown coefficients. As the main result of this paper, it is concluded that the radial displacement is uniform at the middle of a cylindrical shell and is decreased to zero with an increase of axial coordinate. [ABSTRACT FROM AUTHOR]