Bending and free vibration analysis of functionally graded plates using new eight-unknown shear deformation theory by finite element method

Abstract

In this paper, a new eight-unknown shear deformation theory is developed for bending and free vibration analysis of functionally graded plates by finite element method. The theory based on full twelve-unknown higher order shear deformation theory, simultaneously satisfy zeros transverse stresses at top and bottom surface of FG plates. A four-node rectangular element with sixteen degrees of freedom per node is used. Poisson's ratios, Young's moduli and material densities vary continuously in thickness direction according to the volume fraction of constituents which is modeled as power law functions. Results are verified with available results in the literature. Parametric studies are performed for different power law index, side-tothickness ratios.

Exact solution for nonlinear static behaviors of functionally graded beams with porosities resting on elastic foundation using neutral surface concept

“…Many works have been performed on the static and dynamic behaviors of FGM structural components in recent years. [1][2][3][4][5][6][7][8][9][10][11][12][13][14] To apply the functionally graded (FG) beam structures widely into the engineering practice, an in-depth understanding of their both linear and nonlinear behaviors is essential. In the existing literature, it is found that many researchers have paid their attention to studying on linear behaviors of the FG beams.…”

“…Many works have been performed on the static and dynamic behaviors of FGM structural components in recent years. 1–14…”