Three-dimensional stress field analysis of rotating thick bidirectional functionally graded axisymmetric annular plates with nonuniform loads and elastic foundations

Abstract

Based on the three-dimensional theory of elasticity, a comprehensive stress analysis is performed for the rotating bidirectional functionally graded thick axisymmetric circular/annular plates, for the first time. The plate may be subjected to arbitrary distributions of the transverse load and various mixed (Dirichlet-type and Neumann-type) edge conditions. Furthermore, the circular plate may be supported by a nonuniform elastic foundation or a rigid substrate. In contrast to the very limited works presented for the rotating functionally graded circular plates so far, the transverse flexibility and the transverse stress components are considered and studied in the present research. Since finite element and boundary element techniques, due to their integral natures, cannot adequately trace abrupt changes of the quantities, a secondorder point collocation method with forward-backward schemes is adopted to solve the system of the governing and boundary conditions. Effects of the distributions of the various material properties (Poisson's ratio, Young's modulus, and mass density), angular velocity, foundation compliance, and edge conditions are evaluated. Results reveal that radially graded or transversely graded material properties significantly affect distribution and magnitude and location of the extrema of the stress components and the lateral deflections and orientation of the general neutral surface of the plate.

Free Vibrational Behavior of Bi-Directional Functionally Graded Composite Panel with and Without Porosities Using 3D Finite Element Approximations

“…1(b) represents the even and uneven porosity pattern in the FG rectangular plate. The EPM of 2D-FGM plate with even porosity pattern can be calculated using equation (6)(7)(8) and the EPM of 2D-FGM plate with uneven porosity pattern in bi-direction expressed as in equations (9)(10)(11) [36].…”

Geometrically nonlinear behavior of two-directional functionally graded porous plates with four different materials

“…Further, numerous investigations were performed to analyze the BDFGM plate structures in the framework of three-dimensional elasticity equations, analytical methods, finite element methods, iso-geometric approach, and several shear deformation theories. 7,[33][34][35][36][37][38][39] Many studies on BDFGM plates have been carried out to examine the flexural, 3,5,32,37,[40][41][42][43][44] vibrational, [45][46][47][48][49][50][51][52] and stability 7,40,53,54 behavior of the BDFGM and MDFGM plates. Besides, Lezgy-Nazargah 55 employed the NURBS-dependent isogeometric finite element (FE) approach to examine the thermo-mechanical behavior of BDFGM beams.…”

On the elastic limit stresses and failure of rotating variable thickness fiber reinforced composite disk

“…Callioglu et al [19] analyzed rotating fgm constant thickness annular disk by using both analytical and finite element methods. Shariyat and Mohammadjani [20] analyzed the stress field of rotating bidirectional fgm annular plate in which Dirichlet and Neumann type edge conditions are implemented to the elastic body. Eraslan and Akis [21] have studied the problem of rotating fgm solid shaft and disk by considering both plane stress and plane strain approaches.…”